-
1
-
-
84865636059
-
A semi-analytical method for the computation of the Lyapunov exponents of fractional-order systems
-
10.1016/j.cnsns.2012.06.013 MR2974358 ZBL1253.35199
-
Caponetto R., Fazzino S., A semi-analytical method for the computation of the Lyapunov exponents of fractional-order systems. Communications in Nonlinear Science and Numerical Simulation 2013 18 1 22 27 10.1016/j.cnsns.2012.06.013 MR2974358 ZBL1253.35199
-
(2013)
Communications in Nonlinear Science and Numerical Simulation
, vol.18
, Issue.1
, pp. 22-27
-
-
Caponetto, R.1
Fazzino, S.2
-
2
-
-
34347330038
-
A necessary condition for double scroll attractor existence in fractional-order systems
-
2-s2.0-34347330038 10.1016/j.physleta.2007.05.081
-
Tavazoei M. S., Haeri M., A necessary condition for double scroll attractor existence in fractional-order systems. Physics Letters A 2007 367 1-2 102 113 2-s2.0-34347330038 10.1016/j.physleta.2007.05.081
-
(2007)
Physics Letters A
, vol.367
, Issue.1-2
, pp. 102-113
-
-
Tavazoei, M.S.1
Haeri, M.2
-
3
-
-
0041384356
-
Chaotic dynamics of the fractional lorenz system
-
034101 10.1103/PhysRevLett.91.034101
-
Grigorenko I., Grigorenko E., Chaotic dynamics of the fractional lorenz system. Physical Review Letters 2003 91 42 034101 10.1103/PhysRevLett.91.034101
-
(2003)
Physical Review Letters
, vol.91
, Issue.42
-
-
Grigorenko, I.1
Grigorenko, E.2
-
4
-
-
84860168517
-
Synchronization of fractional order chaotic systems using active control method
-
2-s2.0-84860168517 10.1016/j.chaos.2012.02.004
-
Agrawal S. K., Srivastava M., Das S., Synchronization of fractional order chaotic systems using active control method. Chaos, Solitons & Fractals 2012 45 6 737 752 2-s2.0-84860168517 10.1016/j.chaos.2012.02.004
-
(2012)
Chaos, Solitons & Fractals
, vol.45
, Issue.6
, pp. 737-752
-
-
Agrawal, S.K.1
Srivastava, M.2
Das, S.3
-
5
-
-
77952741594
-
Chaos in fractional conjugate Lorenz system and its scaling attractors
-
MR2652675 ZBL1222.37037 2-s2.0-77952741594 10.1016/j.cnsns.2010.02.005
-
Yang Q., Zeng C., Chaos in fractional conjugate Lorenz system and its scaling attractors. Communications in Nonlinear Science and Numerical Simulation 2010 15 12 4041 4051 MR2652675 ZBL1222.37037 2-s2.0-77952741594 10.1016/j.cnsns.2010.02.005
-
(2010)
Communications in Nonlinear Science and Numerical Simulation
, vol.15
, Issue.12
, pp. 4041-4051
-
-
Yang, Q.1
Zeng, C.2
-
6
-
-
0036650479
-
A predictor-corrector approach for the numerical solution of fractional differential equations
-
DOI 10.1023/A:1016592219341, Fractional Order Calculus and Its Applications
-
Diethelm K., Ford N. J., Freed A. D., A predictor-corrector approach for the numerical solution of fractional differential equations. Nonlinear Dynamics 2002 29 1-4 3 22 MR1926466 ZBL1009.65049 2-s2.0-0036650479 10.1023/A: 1016592219341 (Pubitemid 34945390)
-
(2002)
Nonlinear Dynamics
, vol.29
, Issue.1-4
, pp. 3-22
-
-
Diethelm, K.1
Ford, N.J.2
Freed, A.D.3
-
7
-
-
84855202563
-
Parameter identification of commensurate fractional-order chaotic system via differential evolution
-
2-s2.0-84855202563 10.1016/j.physleta.2011.12.008
-
Tang Y., Zhang X., Hua C., Li L., Yang Y., Parameter identification of commensurate fractional-order chaotic system via differential evolution. Physics Letters A 2012 376 4 457 464 2-s2.0-84855202563 10.1016/j.physleta.2011.12.008
-
(2012)
Physics Letters A
, vol.376
, Issue.4
, pp. 457-464
-
-
Tang, Y.1
Zhang, X.2
Hua, C.3
Li, L.4
Yang, Y.5
-
8
-
-
67649861441
-
Dynamic analysis of a fractional-order Lorenz chaotic system
-
MR2554825 ZBL1198.37063 2-s2.0-67649861441 10.1016/j.chaos.2009.03.016
-
Yu Y., Li H.-X., Wang S., Yu J., Dynamic analysis of a fractional-order Lorenz chaotic system. Chaos, Solitons & Fractals 2009 42 2 1181 1189 MR2554825 ZBL1198.37063 2-s2.0-67649861441 10.1016/j.chaos.2009.03.016
-
(2009)
Chaos, Solitons & Fractals
, vol.42
, Issue.2
, pp. 1181-1189
-
-
Yu, Y.1
Li, H.-X.2
Wang, S.3
Yu, J.4
-
9
-
-
79961020785
-
Parameter identification and synchronization of fractional-order chaotic systems
-
MR2826009 ZBL1245.93039 2-s2.0-79961020785 10.1016/j.cnsns.2011.04.005
-
Yuan L.-G., Yang Q.-G., Parameter identification and synchronization of fractional-order chaotic systems. Communications in Nonlinear Science and Numerical Simulation 2012 17 1 305 316 MR2826009 ZBL1245.93039 2-s2.0-79961020785 10.1016/j.cnsns.2011.04.005
-
(2012)
Communications in Nonlinear Science and Numerical Simulation
, vol.17
, Issue.1
, pp. 305-316
-
-
Yuan, L.-G.1
Yang, Q.-G.2
-
11
-
-
1842832060
-
Chaos in Chen's system with a fractional order
-
MR2060878 ZBL1060.37026 2-s2.0-1842832060 10.1016/j.chaos.2004.02.013
-
Li C., Peng G., Chaos in Chen's system with a fractional order. Chaos, Solitons & Fractals 2004 22 2 443 450 MR2060878 ZBL1060.37026 2-s2.0-1842832060 10.1016/j.chaos.2004.02.013
-
(2004)
Chaos, Solitons & Fractals
, vol.22
, Issue.2
, pp. 443-450
-
-
Li, C.1
Peng, G.2
-
12
-
-
3342927052
-
Chaos and hyperchaos in the fractional-order Rössler equations
-
MR2092674 2-s2.0-3342927052 10.1016/j.physa.2004.04.113
-
Li C., Chen G., Chaos and hyperchaos in the fractional-order Rössler equations. Physica A 2004 341 1-4 55 61 MR2092674 2-s2.0-3342927052 10.1016/j.physa.2004.04.113
-
(2004)
Physica A
, vol.341
, Issue.1-4
, pp. 55-61
-
-
Li, C.1
Chen, G.2
-
13
-
-
33645048445
-
-
ICO20: Optical Communication 2006 Proceedings of SPIE 10.1117/12.667062
-
Deng W., Shulin E., Sun D., Wang P., Zhang D., Xu W., Chung Y.-C., Xie S., Fabrication of vertical coupled polymer microring resonator. 6025 ICO20: Optical Communication 2006 334 339 Proceedings of SPIE 10.1117/12.667062
-
Fabrication of Vertical Coupled Polymer Microring Resonator
, vol.6025
, pp. 334-339
-
-
Deng, W.1
Shulin, E.2
Sun, D.3
Wang, P.4
Zhang, D.5
Xu, W.6
Chung, Y.-C.7
Xie, S.8
-
14
-
-
72649090282
-
Chaos synchronization for a class of nonlinear oscillators with fractional order
-
MR2577800 ZBL1187.34066 2-s2.0-72649090282 10.1016/j.na.2009.10.033
-
Song L., Yang J., Xu S., Chaos synchronization for a class of nonlinear oscillators with fractional order. Nonlinear Analysis: Theory, Methods and Applications 2010 72 5 2326 2336 MR2577800 ZBL1187.34066 2-s2.0-72649090282 10.1016/j.na.2009.10.033
-
(2010)
Nonlinear Analysis: Theory, Methods and Applications
, vol.72
, Issue.5
, pp. 2326-2336
-
-
Song, L.1
Yang, J.2
Xu, S.3
-
15
-
-
70350521756
-
Adaptive synchronization of the fractional-order unified chaotic system
-
MR2590911 ZBL1212.37058 2-s2.0-70350521756
-
Zhang R.-X., Yang Y., Yang S.-P., Adaptive synchronization of the fractional-order unified chaotic system. Acta Physica Sinica 2009 58 9 6039 6044 MR2590911 ZBL1212.37058 2-s2.0-70350521756
-
(2009)
Acta Physica Sinica
, vol.58
, Issue.9
, pp. 6039-6044
-
-
Zhang, R.-X.1
Yang, Y.2
Yang, S.-P.3
-
16
-
-
18844427587
-
Chaos synchronization of the fractional Lu system
-
DOI 10.1016/j.physa.2005.01.021, PII S0378437105000555
-
Deng W. H., Li C. P., Chaos synchronization of the fractional Lü system. Physica A 2005 353 1-4 61 72 2-s2.0-18844427587 10.1016/j.physa.2005.01. 021 (Pubitemid 40684290)
-
(2005)
Physica A: Statistical Mechanics and its Applications
, vol.353
, Issue.1-4
, pp. 61-72
-
-
Deng, W.H.1
Li, C.P.2
-
17
-
-
67249140258
-
A fractional-order hyperchaotic system and its synchronization
-
2-s2.0-67249140258 10.1016/j.chaos.2008.04.034
-
Deng H., Li T., Wang Q., Li H., A fractional-order hyperchaotic system and its synchronization. Chaos, Solitons & Fractals 2009 41 2 962 969 2-s2.0-67249140258 10.1016/j.chaos.2008.04.034
-
(2009)
Chaos, Solitons & Fractals
, vol.41
, Issue.2
, pp. 962-969
-
-
Deng, H.1
Li, T.2
Wang, Q.3
Li, H.4
-
18
-
-
27744554781
-
Chaos synchronization of the Chua system with a fractional order
-
DOI 10.1016/j.physa.2005.06.078, PII S0378437105007132
-
Li C. P., Deng W. H., Xu D., Chaos synchronization of the Chua system with a fractional order. Physica A 2006 360 2 171 185 MR2186261 2-s2.0-27744554781 10.1016/j.physa.2005.06.078 (Pubitemid 41627568)
-
(2006)
Physica A: Statistical Mechanics and its Applications
, vol.360
, Issue.2
, pp. 171-185
-
-
Li, C.P.1
Deng, W.H.2
Xu, D.3
-
19
-
-
34548617848
-
Generating multi-directional multi-scroll chaotic attractors via a fractional differential hysteresis system
-
2-s2.0-34548617848 10.1016/j.physleta.2007.04.112
-
Deng W., Lü J., Generating multi-directional multi-scroll chaotic attractors via a fractional differential hysteresis system. Physics Letters A 2007 369 5-6 438 443 2-s2.0-34548617848 10.1016/j.physleta.2007.04.112
-
(2007)
Physics Letters A
, vol.369
, Issue.5-6
, pp. 438-443
-
-
Deng, W.1
Lü, J.2
-
20
-
-
77951575404
-
Synchronization of chaotic fractional-order systems via linear control
-
MR2656696 ZBL1183.34095 2-s2.0-77951575404 10.1142/S0218127410025429
-
Odibat Z. M., Corson N., Aziz-Alaoui M. A., Bertelle C., Synchronization of chaotic fractional-order systems via linear control. International Journal of Bifurcation and Chaos 2010 20 1 81 97 MR2656696 ZBL1183.34095 2-s2.0-77951575404 10.1142/S0218127410025429
-
(2010)
International Journal of Bifurcation and Chaos
, vol.20
, Issue.1
, pp. 81-97
-
-
Odibat, Z.M.1
Corson, N.2
Aziz-Alaoui, M.A.3
Bertelle, C.4
-
21
-
-
80054903851
-
A note on phase synchronization in coupled chaotic fractional order systems
-
MR2846880 ZBL1238.34121 2-s2.0-80054903851 10.1016/j.nonrwa.2011.08.016
-
Odibat Z., A note on phase synchronization in coupled chaotic fractional order systems. Nonlinear Analysis: Real World Applications 2012 13 2 779 789 MR2846880 ZBL1238.34121 2-s2.0-80054903851 10.1016/j.nonrwa.2011.08.016
-
(2012)
Nonlinear Analysis: Real World Applications
, vol.13
, Issue.2
, pp. 779-789
-
-
Odibat, Z.1
-
22
-
-
84861733446
-
Generalized synchronization of the fractional-order chaos in weighted complex dynamical networks with nonidentical nodes
-
MR2929901 ZBL1258.34130 2-s2.0-83655192760 10.1007/s11071-011-0295-9
-
Wu X., Lai D., Lu H., Generalized synchronization of the fractional-order chaos in weighted complex dynamical networks with nonidentical nodes. Nonlinear Dynamics 2012 69 1-2 667 683 MR2929901 ZBL1258.34130 2-s2.0-83655192760 10.1007/s11071-011-0295-9
-
(2012)
Nonlinear Dynamics
, vol.69
, Issue.1-2
, pp. 667-683
-
-
Wu, X.1
Lai, D.2
Lu, H.3
-
23
-
-
77955018368
-
Bifurcations of fractional-order diffusionless lorenz system
-
2-s2.0-77955018368
-
Sun K., Sprott J. C., Bifurcations of fractional-order diffusionless lorenz system. Electronic Journal of Theoretical Physics 2009 6 22 123 134 2-s2.0-77955018368
-
(2009)
Electronic Journal of Theoretical Physics
, vol.6
, Issue.22
, pp. 123-134
-
-
Sun, K.1
Sprott, J.C.2
-
24
-
-
70449574688
-
Chaos in the fractional-order Lorenz system
-
10.1080/00207160701864426 MR2537927 ZBL1169.65115
-
Wu X.-J., Shen S.-L., Chaos in the fractional-order Lorenz system. International Journal of Computer Mathematics 2009 86 7 1274 1282 10.1080/00207160701864426 MR2537927 ZBL1169.65115
-
(2009)
International Journal of Computer Mathematics
, vol.86
, Issue.7
, pp. 1274-1282
-
-
Wu, X.-J.1
Shen, S.-L.2
-
25
-
-
84861729690
-
Analytical and numerical methods for the stability analysis of linear fractional delay differential equations
-
10.1016/j.cam.2012.03.010 MR2926260 ZBL1250.65099
-
Kaslik E., Sivasundaram S., Analytical and numerical methods for the stability analysis of linear fractional delay differential equations. Journal of Computational and Applied Mathematics 2012 236 16 4027 4041 10.1016/j.cam.2012.03.010 MR2926260 ZBL1250.65099
-
(2012)
Journal of Computational and Applied Mathematics
, vol.236
, Issue.16
, pp. 4027-4041
-
-
Kaslik, E.1
Sivasundaram, S.2
-
26
-
-
76049124927
-
Fractional ordered Liu system with time-delay
-
MR2592631 ZBL1222.34005 2-s2.0-76049124927 10.1016/j.cnsns.2009.08.015
-
Bhalekar S., Daftardar-Gejji V., Fractional ordered Liu system with time-delay. Communications in Nonlinear Science and Numerical Simulation 2010 15 8 2178 2191 MR2592631 ZBL1222.34005 2-s2.0-76049124927 10.1016/j.cnsns.2009.08. 015
-
(2010)
Communications in Nonlinear Science and Numerical Simulation
, vol.15
, Issue.8
, pp. 2178-2191
-
-
Bhalekar, S.1
Daftardar-Gejji, V.2
-
27
-
-
23144435914
-
A note on the fractional-order Chen system
-
DOI 10.1016/j.chaos.2005.04.037, PII S0960077905003590
-
Lu J. G., Chen G., A note on the fractional-order Chen system. Chaos, Solitons & Fractals 2006 27 3 685 688 2-s2.0-23144435914 10.1016/j.chaos.2005.04.037 (Pubitemid 41084201)
-
(2006)
Chaos, Solitons and Fractals
, vol.27
, Issue.3
, pp. 685-688
-
-
Lu, J.G.1
Chen, G.2
-
28
-
-
2442563860
-
Identification of fractional chaotic system parameters
-
2-s2.0-2442563860 10.1016/j.chaos.2004.03.007
-
Al-Assaf Y., El-Khazali R., Ahmad W., Identification of fractional chaotic system parameters. Chaos, Solitons & Fractals 2004 22 4 897 905 2-s2.0-2442563860 10.1016/j.chaos.2004.03.007
-
(2004)
Chaos, Solitons & Fractals
, vol.22
, Issue.4
, pp. 897-905
-
-
Al-Assaf, Y.1
El-Khazali, R.2
Ahmad, W.3
-
29
-
-
84861893481
-
A new Jacobi operational matrix: An application for solving fractional differential equations
-
10.1016/j.apm.2011.12.031 MR2930392 ZBL1252.34019
-
Doha E. H., Bhrawy A. H., Ezz-Eldien S. S., A new Jacobi operational matrix: an application for solving fractional differential equations. Applied Mathematical Modelling 2012 36 10 4931 4943 10.1016/j.apm.2011.12.031 MR2930392 ZBL1252.34019
-
(2012)
Applied Mathematical Modelling
, vol.36
, Issue.10
, pp. 4931-4943
-
-
Doha, E.H.1
Bhrawy, A.H.2
Ezz-Eldien, S.S.3
-
30
-
-
84856545857
-
Projective synchronization of different fractional-order chaotic systems with non-identical orders
-
MR2891007 ZBL1257.34040 2-s2.0-84856545857 10.1016/j.nonrwa.2011.12.006
-
Si G., Sun Z., Zhang Y., Chen W., Projective synchronization of different fractional-order chaotic systems with non-identical orders. Nonlinear Analysis: Real World Applications 2012 13 4 1761 1771 MR2891007 ZBL1257.34040 2-s2.0-84856545857 10.1016/j.nonrwa.2011.12.006
-
(2012)
Nonlinear Analysis: Real World Applications
, vol.13
, Issue.4
, pp. 1761-1771
-
-
Si, G.1
Sun, Z.2
Zhang, Y.3
Chen, W.4
-
31
-
-
0037081673
-
Analysis of fractional differential equations
-
MR1876137 ZBL1014.34003 2-s2.0-0037081673 10.1006/jmaa.2000.7194
-
Diethelm K., Ford N. J., Analysis of fractional differential equations. Journal of Mathematical Analysis and Applications 2002 265 2 229 248 MR1876137 ZBL1014.34003 2-s2.0-0037081673 10.1006/jmaa.2000.7194
-
(2002)
Journal of Mathematical Analysis and Applications
, vol.265
, Issue.2
, pp. 229-248
-
-
Diethelm, K.1
Ford, N.J.2
-
32
-
-
33947133956
-
Stability analysis of linear fractional differential system with multiple time delays
-
DOI 10.1007/s11071-006-9094-0
-
Deng W., Li C., Lü J., Stability analysis of linear fractional differential system with multiple time delays. Nonlinear Dynamics 2007 48 4 409 416 MR2312588 ZBL1185.34115 2-s2.0-33947133956 10.1007/s11071-006-9094-0 (Pubitemid 46407957)
-
(2007)
Nonlinear Dynamics
, vol.48
, Issue.4
, pp. 409-416
-
-
Deng, W.1
Li, C.2
Lu, J.3
-
33
-
-
51249088596
-
Chaotic attractors in incommensurate fractional order systems
-
MR2514122 ZBL1157.26310 2-s2.0-51249088596 10.1016/j.physd.2008.03.037
-
Tavazoei M. S., Haeri M., Chaotic attractors in incommensurate fractional order systems. Physica D 2008 237 20 2628 2637 MR2514122 ZBL1157.26310 2-s2.0-51249088596 10.1016/j.physd.2008.03.037
-
(2008)
Physica D
, vol.237
, Issue.20
, pp. 2628-2637
-
-
Tavazoei, M.S.1
Haeri, M.2
-
34
-
-
84864407494
-
Parameter estimation and topology identification of uncertain fractional order complex networks
-
10.1016/j.cnsns.2012.05.005
-
Si G., Sun Z., Zhang H., Zhang Y., Parameter estimation and topology identification of uncertain fractional order complex networks. CommuNications in Nonlinear Science and Numerical Simulation 2012 17 12 5158 5171 10.1016/j.cnsns.2012.05.005
-
(2012)
CommuNications in Nonlinear Science and Numerical Simulation
, vol.17
, Issue.12
, pp. 5158-5171
-
-
Si, G.1
Sun, Z.2
Zhang, H.3
Zhang, Y.4
-
35
-
-
84864407494
-
Parameter estimation and topology identification of uncertain fractional order complex networks
-
10.1016/j.cnsns.2012.05.005
-
Si G., Sun Z., Zhang H., Zhang Y., Parameter estimation and topology identification of uncertain fractional order complex networks. Communications in Nonlinear Science and Numerical Simulation 2012 17 12 5158 5171 10.1016/j.cnsns.2012.05.005
-
(2012)
Communications in Nonlinear Science and Numerical Simulation
, vol.17
, Issue.12
, pp. 5158-5171
-
-
Si, G.1
Sun, Z.2
Zhang, H.3
Zhang, Y.4
-
36
-
-
84888367355
-
Inversion mechanism with functional extrema model for identification incommensurate and hyper fractional chaos via differential evolution
-
S0957417413007082 10.1016/j.eswa.2013.08.087
-
Gao F., Fei F.-X., Lee X.-J., Tong H.-Q., Deng Y.-F., Zhao H.-L., Inversion mechanism with functional extrema model for identification incommensurate and hyper fractional chaos via differential evolution. Expert Systems with Applications 2014 41 4(2) 1915 1927 S0957417413007082 10.1016/j.eswa.2013.08.087
-
(2014)
Expert Systems with Applications
, vol.41
, Issue.42
, pp. 1915-1927
-
-
Gao, F.1
Fei, F.-X.2
Lee, X.-J.3
Tong, H.-Q.4
Deng, Y.-F.5
Zhao, H.-L.6
-
39
-
-
84875708493
-
Multiobjective cuckoo search for design optimization
-
10.1016/j.cor.2011.09.026 MR3041434
-
Yang X.-S., Deb S., Multiobjective cuckoo search for design optimization. Computers & Operations Research 2013 40 6 1616 1624 10.1016/j.cor.2011.09. 026 MR3041434
-
(2013)
Computers & Operations Research
, vol.40
, Issue.6
, pp. 1616-1624
-
-
Yang, X.-S.1
Deb, S.2
-
40
-
-
69749102394
-
On the fractional Adams method
-
MR2562405 ZBL1189.65142 2-s2.0-69749102394 10.1016/j.camwa.2009.07.050
-
Li C., Tao C., On the fractional Adams method. Computers and Mathematics with Applications 2009 58 8 1573 1588 MR2562405 ZBL1189.65142 2-s2.0-69749102394 10.1016/j.camwa.2009.07.050
-
(2009)
Computers and Mathematics with Applications
, vol.58
, Issue.8
, pp. 1573-1588
-
-
Li, C.1
Tao, C.2
-
41
-
-
80051704994
-
An efficient parallel algorithm for the numerical solution of fractional differential equations
-
MR2837642 ZBL06217556 2-s2.0-80051704994 10.2478/s13540-011-0029-1
-
Diethelm K., An efficient parallel algorithm for the numerical solution of fractional differential equations. Fractional Calculus and Applied Analysis 2011 14 3 475 490 MR2837642 ZBL06217556 2-s2.0-80051704994 10.2478/s13540-011- 0029-1
-
(2011)
Fractional Calculus and Applied Analysis
, vol.14
, Issue.3
, pp. 475-490
-
-
Diethelm, K.1
-
45
-
-
0004182814
-
-
New York, NY, USA Academic Press Mathematics in Science and Engineering MR0361633
-
Oldham K. B., Spanier J., The Fractional Calculus 1974 111 New York, NY, USA Academic Press xiii+234 Mathematics in Science and Engineering MR0361633
-
(1974)
The Fractional Calculus
, vol.111
-
-
Oldham, K.B.1
Spanier, J.2
-
47
-
-
85106205448
-
Fractional-order chaotic systems
-
Berlin, Germany Springer Nonlinear Physical Science 10.1007/978-3-642- 18101-6-5
-
Petráš I., Fractional-order chaotic systems. Fractional-Order Nonlinear Systems 2011 Berlin, Germany Springer 103 184 Nonlinear Physical Science 10.1007/978-3-642-18101-6-5
-
(2011)
Fractional-Order Nonlinear Systems
, pp. 103-184
-
-
Petráš, I.1
-
48
-
-
84888363084
-
Fractional calculus
-
Berlin, Germany Springer 10.1007/978-3-642-18101-6-2
-
Petráš I., Fractional calculus. Nonlinear Physica 2011 Berlin, Germany Springer 7 42 10.1007/978-3-642-18101-6-2
-
(2011)
Nonlinear Physica
, pp. 7-42
-
-
Petráš, I.1
-
52
-
-
84855986175
-
A new multi-gene genetic programming approach to nonlinear system modeling. Part I: Materials and structural engineering problems
-
2-s2.0-84855986175 10.1007/s00521-011-0734-z
-
Gandomi A. H., Alavi A. H., A new multi-gene genetic programming approach to nonlinear system modeling. Part I: materials and structural engineering problems. Neural Computing & Applications 2012 21 1 171 187 2-s2.0-84855986175 10.1007/s00521-011-0734-z
-
(2012)
Neural Computing & Applications
, vol.21
, Issue.1
, pp. 171-187
-
-
Gandomi, A.H.1
Alavi, A.H.2
-
53
-
-
84856002704
-
A new multi-gene genetic programming approach to non-linear system modeling. Part II: Geotechnical and earthquake engineering problems
-
2-s2.0-84856002704 10.1007/s00521-011-0735-y
-
Gandomi A. H., Alavi A. H., A new multi-gene genetic programming approach to non-linear system modeling. Part II: geotechnical and earthquake engineering problems. Neural Computing & Applications 2012 21 1 189 201 2-s2.0-84856002704 10.1007/s00521-011-0735-y
-
(2012)
Neural Computing & Applications
, vol.21
, Issue.1
, pp. 189-201
-
-
Gandomi, A.H.1
Alavi, A.H.2
-
55
-
-
27344438605
-
A hybrid genetic programming approach for the analytical solution of differential equations
-
DOI 10.1080/03081070500065676
-
Kirstukas S. J., Bryden K. M., Ashlock D. A., A hybrid genetic programming approach for the analytical solution of differential equations. International Journal of General Systems 2005 34 3 279 299 2-s2.0-27344438605 10.1080/03081070500065676 (Pubitemid 41523699)
-
(2005)
International Journal of General Systems
, vol.34
, Issue.3
, pp. 279-299
-
-
Kirstukas, S.J.1
Bryden, K.M.2
Ashlock, D.A.3
-
57
-
-
10944230818
-
Genetic programming-based chaotic time series modeling
-
DOI 10.1631/jzus.2004.1432
-
Zhang W., Wu Z.-M., Yang G.-K., Genetic programming-based chaotic time series modeling. Journal of Zhejiang University: Science 2004 5 11 1432 1439 2-s2.0-10944230818 10.1631/jzus.2004.1432 (Pubitemid 40017153)
-
(2004)
Journal of Zhejiang University: Science
, vol.5
, Issue.11
, pp. 1432-1439
-
-
Zhang, W.1
Wu, Z.-M.2
Yang, G.-K.3
-
59
-
-
0035422824
-
Reconstruction of polynomial systems from noisy time-series measurements using genetic programming
-
DOI 10.1109/41.937405, PII S0278004601062748
-
Varadan V., Leung H., Reconstruction of polynomial systems from noisy time-series measurements using genetic programming. IEEE Transactions on Industrial Electronics 2001 48 4 742 748 2-s2.0-0035422824 10.1109/41.937405 (Pubitemid 32780041)
-
(2001)
IEEE Transactions on Industrial Electronics
, vol.48
, Issue.4
, pp. 742-748
-
-
Varadan, V.1
Leung, H.2
-
60
-
-
77950243306
-
Evolutionary reconstruction of chaotic systems
-
chapter 8 Springer 2-s2.0-77950243306 10.1007/978-3-642-10707-8-8
-
Zelinka I., Raidl A., Evolutionary reconstruction of chaotic systems. Studies in Computational Intelligence 2010 267 chapter 8 Springer 265 291 2-s2.0-77950243306 10.1007/978-3-642-10707-8-8
-
(2010)
Studies in Computational Intelligence
, vol.267
, pp. 265-291
-
-
Zelinka, I.1
Raidl, A.2
-
62
-
-
84866147063
-
An investigation on evolutionary reconstruction of continuous chaotic systems
-
2-s2.0-79960556990 10.1016/j.mcm.2011.06.034
-
Zelinka I., Chadli M., Davendra D., Senkerik R., Jasek R., An investigation on evolutionary reconstruction of continuous chaotic systems. Mathematical and Computer Modelling 2011 57 1-2 2 15 2-s2.0-79960556990 10.1016/j.mcm.2011.06.034
-
(2011)
Mathematical and Computer Modelling
, vol.57
, Issue.1-2
, pp. 2-15
-
-
Zelinka, I.1
Chadli, M.2
Davendra, D.3
Senkerik, R.4
Jasek, R.5
-
63
-
-
67650080990
-
Parameter estimation for chaotic system with initial random noises by particle swarm optimization
-
2-s2.0-67650080990 10.1016/j.chaos.2009.03.074
-
Gao F., Lee J.-J., Li Z., Tong H., Lü X., Parameter estimation for chaotic system with initial random noises by particle swarm optimization. Chaos, Solitons & Fractals 2009 42 2 1286 1291 2-s2.0-67650080990 10.1016/j.chaos.2009.03.074
-
(2009)
Chaos, Solitons & Fractals
, vol.42
, Issue.2
, pp. 1286-1291
-
-
Gao, F.1
Lee, J.-J.2
Li, Z.3
Tong, H.4
Lü, X.5
-
64
-
-
80054917152
-
A Novel non-Lyapunov way for detecting uncertain parameters of chaos system with random noises
-
2-s2.0-80054917152 10.1016/j.eswa.2011.08.076
-
Gao F., Qi Y., Balasingham I., Yin Q., Gao H., A Novel non-Lyapunov way for detecting uncertain parameters of chaos system with random noises. Expert Systems with Applications 2012 39 2 1779 1783 2-s2.0-80054917152 10.1016/j.eswa.2011.08.076
-
(2012)
Expert Systems with Applications
, vol.39
, Issue.2
, pp. 1779-1783
-
-
Gao, F.1
Qi, Y.2
Balasingham, I.3
Yin, Q.4
Gao, H.5
-
65
-
-
0042416849
-
Parameters identification and control of Lorenz chaotic system
-
Guan X.-P., Peng H.-P., Li L.-X., Wang Y.-Q., Parameters identification and control of Lorenz chaotic system. Acta Physica Sinica 2001 50 1 29 2-s2.0-0042416849 (Pubitemid 33639190)
-
(2001)
Wuli Xuebao/Acta Physica Sinica
, vol.50
, Issue.1
, pp. 29
-
-
Guan, X.-P.1
Peng, H.-P.2
Li, L.-X.3
Wang, Y.-Q.4
-
66
-
-
0000186307
-
Estimating model parameters from time series by autosynchronization
-
Parlitz U., Estimating model parameters from time series by autosynchronization. Physical Review Letters 1996 76 8 1232 1235 2-s2.0-0000186307 (Pubitemid 126586086)
-
(1996)
Physical Review Letters
, vol.76
, Issue.8
, pp. 1232-1235
-
-
Parlitz, U.1
-
67
-
-
29144460641
-
Parameters identification of chaotic systems via chaotic ant swarm
-
DOI 10.1016/j.chaos.2005.04.110, PII S0960077905004704
-
Li L., Yang Y., Peng H., Wang X., Parameters identification of chaotic systems via chaotic ant swarm. Chaos, Solitons & Fractals 2006 28 5 1204 1211 2-s2.0-29144460641 10.1016/j.chaos.2005.04.110 (Pubitemid 41815092)
-
(2006)
Chaos, Solitons and Fractals
, vol.28
, Issue.5
, pp. 1204-1211
-
-
Li, L.1
Yang, Y.2
Peng, H.3
Wang, X.4
-
68
-
-
33845380385
-
Parameter identification of Chen and Lu systems: A differential evolution approach
-
DOI 10.1016/j.chaos.2005.11.067, PII S0960077905011653
-
Chang W.-D., Parameter identification of Chen and Lü systems: a differential evolution approach. Chaos, Solitons & Fractals 2007 32 4 1469 1476 2-s2.0-33845380385 10.1016/j.chaos.2005.11.067 (Pubitemid 44909760)
-
(2007)
Chaos, Solitons and Fractals
, vol.32
, Issue.4
, pp. 1469-1476
-
-
Chang, W.-D.1
-
69
-
-
48749116331
-
Parameter identification of chaotic systems using evolutionary programming approach
-
2-s2.0-48749116331 10.1016/j.eswa.2007.09.021
-
Chang J.-F., Yang Y.-S., Liao T.-L., Yan J.-J., Parameter identification of chaotic systems using evolutionary programming approach. Expert Systems with Applications 2008 35 4 2074 2079 2-s2.0-48749116331 10.1016/j.eswa.2007.09.021
-
(2008)
Expert Systems with Applications
, vol.35
, Issue.4
, pp. 2074-2079
-
-
Chang, J.-F.1
Yang, Y.-S.2
Liao, T.-L.3
Yan, J.-J.4
-
70
-
-
42449109885
-
Parameters estimation online for Lorenz system by a novel quantum-behaved particle swarm optimization
-
DOI 10.1088/1674-1056/17/4/008
-
Gao F., Li Z.-Q., Tong H.-Q., Parameters estimation online for Lorenz system by a novel quantum-behaved particle swarm optimization. Chinese Physics B 2008 17 4 1196 1201 2-s2.0-42449109885 10.1088/1674-1056/17/4/008 (Pubitemid 351571754)
-
(2008)
Chinese Physics B
, vol.17
, Issue.4
, pp. 1196-1201
-
-
Gao, F.1
Li, Z.-Q.2
Tong, H.-Q.3
-
71
-
-
33644651335
-
Parameter estimation for chaotic system based on particle swarm optimization
-
Gao F., Tong H.-Q., Parameter estimation for chaotic system based on particle swarm optimization. Acta Physica Sinica 2006 55 2 577 582 2-s2.0-33644651335 (Pubitemid 43322814)
-
(2006)
Wuli Xuebao/Acta Physica Sinica
, vol.55
, Issue.2
, pp. 577-582
-
-
Gao, F.1
Tong, H.-Q.2
-
72
-
-
41849151474
-
Robust synchronization and parameter identification on a class of uncertain chaotic systems
-
DOI 10.1016/j.chaos.2006.10.042, PII S0960077906010228
-
Shen L., Wang M., Robust synchronization and parameter identification on a class of uncertain chaotic systems. Chaos, Solitons & Fractals 2008 38 1 106 111 2-s2.0-41849151474 10.1016/j.chaos.2006.10.042 (Pubitemid 351503971)
-
(2008)
Chaos, Solitons and Fractals
, vol.38
, Issue.1
, pp. 106-111
-
-
Shen, L.1
Wang, M.2
-
73
-
-
74849126061
-
Parameters identification of chaotic systems by quantum-behaved particle swarm optimization
-
MR2597373 ZBL1181.65103 2-s2.0-74849126061 10.1080/00207160903029802
-
Yang K., Maginu K., Nomura H., Parameters identification of chaotic systems by quantum-behaved particle swarm optimization. International Journal of Computer Mathematics 2009 86 12 2225 2235 MR2597373 ZBL1181.65103 2-s2.0-74849126061 10.1080/00207160903029802
-
(2009)
International Journal of Computer Mathematics
, vol.86
, Issue.12
, pp. 2225-2235
-
-
Yang, K.1
Maginu, K.2
Nomura, H.3
-
74
-
-
81255161195
-
Solving problems in chaos control though an differential evolution algorithm with region zooming
-
2-s2.0-81255161195 10.4028/www.scientific.net/AMM.110-116.5048
-
Gao F., Qi Y., Yin Q., Xiao J., Solving problems in chaos control though an differential evolution algorithm with region zooming. Applied Mechanics and Materials 2012 110-116 5048 5056 2-s2.0-81255161195 10.4028/www.scientific.net/ AMM.110-116.5048
-
(2012)
Applied Mechanics and Materials
, vol.110-116
, pp. 5048-5056
-
-
Gao, F.1
Qi, Y.2
Yin, Q.3
Xiao, J.4
-
75
-
-
84865008072
-
A novel artificial bee colony algorithm with space contraction for unknown parameters identification and time-delays of chaotic systems
-
10.1016/j.amc.2012.06.040
-
Gao F., Fei F.-X., Xu Q., Deng Y.-F., Qi Y.-B., Balasingham I., A novel artificial bee colony algorithm with space contraction for unknown parameters identification and time-delays of chaotic systems. Applied Mathematics and Computation 2012 219 2 552 568 10.1016/j.amc.2012.06.040
-
(2012)
Applied Mathematics and Computation
, vol.219
, Issue.2
, pp. 552-568
-
-
Gao, F.1
Fei, F.-X.2
Xu, Q.3
Deng, Y.-F.4
Qi, Y.-B.5
Balasingham, I.6
-
77
-
-
33646366905
-
Chaotic dynamics of the fractional-order Lu system and its synchronization
-
DOI 10.1016/j.physleta.2006.01.068, PII S0375960106001551
-
Lu J. G., Chaotic dynamics of the fractional-order Lü system and its synchronization. Physics Letters A 2006 354 4 305 311 2-s2.0-33646366905 10.1016/j.physleta.2006.01.068 (Pubitemid 43668647)
-
(2006)
Physics Letters, Section A: General, Atomic and Solid State Physics
, vol.354
, Issue.4
, pp. 305-311
-
-
Lu, J.G.1
-
78
-
-
2042470796
-
Chaos in the fractional order Chen system and its control
-
2-s2.0-2042470796 10.1016/j.chaos.2004.02.035
-
Li C., Chen G., Chaos in the fractional order Chen system and its control. Chaos, Solitons & Fractals 2004 22 3 549 554 2-s2.0-2042470796 10.1016/j.chaos.2004.02.035
-
(2004)
Chaos, Solitons & Fractals
, vol.22
, Issue.3
, pp. 549-554
-
-
Li, C.1
Chen, G.2
-
79
-
-
0142000477
-
Differential Evolution - A Simple and Efficient Heuristic for Global Optimization over Continuous Spaces
-
Storn R., Price K., Differential evolution-a simple and efficient heuristic for global optimization over continuous spaces. Journal of Global Optimization 1997 11 4 341 359 MR1479553 ZBL0888.90135 2-s2.0-0142000477 (Pubitemid 127502202)
-
(1997)
Journal of Global Optimization
, vol.11
, Issue.4
, pp. 341-359
-
-
Storn, R.1
Price, K.2
-
81
-
-
18744396943
-
Computing unstable Period orbits of discrete chaotic system though differential evolutionary algorithms basing on elite subspace
-
Gao F., Computing unstable Period orbits of discrete chaotic system though differential evolutionary algorithms basing on elite subspace. System Engineering Theory and Practice 2005 25 4 96 102 2-s2.0-18744396943 (Pubitemid 40668784)
-
(2005)
Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice
, vol.25
, Issue.4
, pp. 96-102
-
-
Gao, F.1
-
82
-
-
78049290320
-
A 2-Opt based differential evolution for global optimization
-
2-s2.0-78049290320 10.1016/j.asoc.2010.05.012
-
Chiang C.-W., Lee W.-P., Heh J.-S., A 2-Opt based differential evolution for global optimization. Applied Soft Computing Journal 2010 10 4 1200 1207 2-s2.0-78049290320 10.1016/j.asoc.2010.05.012
-
(2010)
Applied Soft Computing Journal
, vol.10
, Issue.4
, pp. 1200-1207
-
-
Chiang, C.-W.1
Lee, W.-P.2
Heh, J.-S.3
-
84
-
-
19144371559
-
Chaotic dynamics and synchronization of fractional-order Arneodo's systems
-
DOI 10.1016/j.chaos.2005.02.023, PII S0960077905001967
-
Lu J. G., Chaotic dynamics and synchronization of fractional-order Arneodo's systems. Chaos, Solitons & Fractals 2005 26 4 1125 1133 2-s2.0-19144371559 10.1016/j.chaos.2005.02.023 (Pubitemid 40715537)
-
(2005)
Chaos, Solitons and Fractals
, vol.26
, Issue.4
, pp. 1125-1133
-
-
Lu, J.G.1
-
85
-
-
23744466023
-
Chaotic dynamics and synchronization of fractional-order Genesio-Tesi systems
-
DOI 10.1088/1009-1963/14/8/007
-
Lu J.-G., Chaotic dynamics and synchronization of fractional-order Genesio-Tesi systems. Chinese Physics 2005 14 8 1517 1521 2-s2.0-23744466023 10.1088/1009-1963/14/8/007 (Pubitemid 41118297)
-
(2005)
Chinese Physics
, vol.14
, Issue.8
, pp. 1517-1521
-
-
Lu, J.-G.1
-
86
-
-
41849104190
-
A note on the fractional-order Chua's system
-
DOI 10.1016/j.chaos.2006.10.054, PII S0960077906010290
-
Petráš I., A note on the fractional-order Chua's system. Chaos, Solitons & Fractals 2008 38 1 140 147 2-s2.0-41849104190 10.1016/j.chaos.2006.10.054 (Pubitemid 351503975)
-
(2008)
Chaos, Solitons and Fractals
, vol.38
, Issue.1
, pp. 140-147
-
-
Petras, I.1
-
87
-
-
77952524788
-
Adaptive tracking control and synchronization of fractional hyper-chaotic Lorenz system with unknown parameters
-
2-s2.0-77952524788
-
Zhao L.-D., Hu J.-B., Liu X.-H., Adaptive tracking control and synchronization of fractional hyper-chaotic Lorenz system with unknown parameters. Acta Physica Sinica 2010 59 4 2305 2309 2-s2.0-77952524788
-
(2010)
Acta Physica Sinica
, vol.59
, Issue.4
, pp. 2305-2309
-
-
Zhao, L.-D.1
Hu, J.-B.2
Liu, X.-H.3
-
88
-
-
65249180157
-
Circuit implementation and tracking control of the fractional-order hyper-chaotic Lü system
-
2-s2.0-65249180157
-
Min F.-H., Yu Y., Ge C.-J., Circuit implementation and tracking control of the fractional-order hyper-chaotic Lü system. Acta Physica Sinica 2009 58 3 1456 1461 2-s2.0-65249180157
-
(2009)
Acta Physica Sinica
, vol.58
, Issue.3
, pp. 1456-1461
-
-
Min, F.-H.1
Yu, Y.2
Ge, C.-J.3
-
89
-
-
56349131727
-
A hyperchaotic system and its fractional order circuit simulation
-
Liu C.-X., A hyperchaotic system and its fractional order circuit simulation. Acta Physica Sinica 2007 56 12 6865 6873
-
(2007)
Acta Physica Sinica
, vol.56
, Issue.12
, pp. 6865-6873
-
-
Liu, C.-X.1
-
90
-
-
84863386967
-
Synchronization for fractional order hyperchaotic chen system and fractional order hyperchaotic rössler system with different structure
-
050502
-
Li D., Deng L.-M., Du Y.-X., Yang Y.-Y., Synchronization for fractional order hyperchaotic chen system and fractional order hyperchaotic rössler system with different structure. Acta Physica Sinica 2012 61 5 050502
-
(2012)
Acta Physica Sinica
, vol.61
, Issue.5
-
-
Li, D.1
Deng, L.-M.2
Du, Y.-X.3
Yang, Y.-Y.4
-
91
-
-
84863348089
-
Modified adaptive controller for synchronization of incommensurate fractional-order chaotic systems
-
2-s2.0-84858304325 10.1088/1674-1056/21/3/030505 030505
-
Zhang R.-X., Yang S.-P., Modified adaptive controller for synchronization of incommensurate fractional-order chaotic systems. Chinese Physics B 2012 21 3 2-s2.0-84858304325 10.1088/1674-1056/21/3/030505 030505
-
(2012)
Chinese Physics B
, vol.21
, Issue.3
-
-
Zhang, R.-X.1
Yang, S.-P.2
-
92
-
-
84855761900
-
Four-wing hyperchaotic attractor generated from a new 4D system with one equilibrium and its fractional-order form
-
MR2870579 ZBL1245.34054 2-s2.0-84855761900 10.1007/s11071-011-0060-0
-
Dadras S., Momeni H. R., Qi G., Wang Z.-L., Four-wing hyperchaotic attractor generated from a new 4D system with one equilibrium and its fractional-order form. Nonlinear Dynamics 2012 67 2 1161 1173 MR2870579 ZBL1245.34054 2-s2.0-84855761900 10.1007/s11071-011-0060-0
-
(2012)
Nonlinear Dynamics
, vol.67
, Issue.2
, pp. 1161-1173
-
-
Dadras, S.1
Momeni, H.R.2
Qi, G.3
Wang, Z.-L.4
|