-
1
-
-
0037332868
-
Chaos in fractional-order autonomous nonlinear systems
-
Ahmad, W. M. & Sprott, J. C. [2003] "Chaos in fractional-order autonomous nonlinear systems, " Chaos Solit. Fract. 16, 339-351.
-
(2003)
Chaos Solit. Fract.
, vol.16
, pp. 339-351
-
-
Ahmad, W.M.1
Sprott, J.C.2
-
2
-
-
17044440498
-
Bifurcation analysis of Chua's circuit with applications for low-level visual sensing
-
Altman, E. J. [1993] "Bifurcation analysis of Chua's circuit with applications for low-level visual sensing, " J. Circuit. Syst. Comp. 3, 63-92.
-
(1993)
J. Circuit. Syst. Comp.
, vol.3
, pp. 63-92
-
-
Altman, E.J.1
-
3
-
-
33748554882
-
Modeling and analog realization of the fundamental linear fractional order differential equation
-
Charef, A. [2006] "Modeling and analog realization of the fundamental linear fractional order differential equation, " Nonlin. Dyn. 46, 195-210.
-
(2006)
Nonlin. Dyn.
, vol.46
, pp. 195-210
-
-
Charef, A.1
-
4
-
-
1542320221
-
Anti-control of chaos in rigid body motion
-
Chen, H. K. & Lee, C. I. [2004] "Anti-control of chaos in rigid body motion, " Chaos Solit. Fract. 21, 957-965.
-
(2004)
Chaos Solit. Fract.
, vol.21
, pp. 957-965
-
-
Chen, H.K.1
Lee, C.I.2
-
5
-
-
46749123943
-
Circuit realization of the fractional-order unified chaotic system
-
Chen, X. R., Liu, C. X. & Wang, F. Q. [2008] "Circuit realization of the fractional-order unified chaotic system, " Chin. Phys. B 17, 1664-1669.
-
(2008)
Chin. Phys. B
, vol.17
, pp. 1664-1669
-
-
Chen, X.R.1
Liu, C.X.2
Wang, F.Q.3
-
6
-
-
61749100729
-
A new hyper-chaotic system and its synchronization
-
Chen, C. H., Sheu, L. J., Chen, H. K., Chen, J. H., Wang, H. C., Chao, Y. C. & Lin, Y. K. [2009] "A new hyper-chaotic system and its synchronization, " Nonlin. Anal.: Real World Appl. 10, 2088-2096.
-
(2009)
Nonlin. Anal.: Real World Appl.
, vol.10
, pp. 2088-2096
-
-
Chen, C.H.1
Sheu, L.J.2
Chen, H.K.3
Chen, J.H.4
Wang, H.C.5
Chao, Y.C.6
Lin, Y.K.7
-
7
-
-
34249335010
-
Short memory principle and a predictor-corrector approach for fractional differential equations
-
Deng, W. H. [2007a] "Short memory principle and a predictor-corrector approach for fractional differential equations, " J. Comput. Appl. Math. 206, 174-188.
-
(2007)
J. Comput. Appl. Math.
, vol.206
, pp. 174-188
-
-
Deng, W.H.1
-
8
-
-
36149001762
-
Numerical algorithm for the time fractional Fokker-Planck equation
-
Deng, W. H. [2007b] "Numerical algorithm for the time fractional Fokker-Planck equation, " J. Comput. Phys. 227, 1510-1522.
-
(2007)
J. Comput. Phys.
, vol.227
, pp. 1510-1522
-
-
Deng, W.H.1
-
9
-
-
0036650479
-
A predictor-corrector approach for the numerical solution of fractional differential equations
-
Diethelm, K., Ford, N. J. & Freed, A. D. [2002] "A predictor-corrector approach for the numerical solution of fractional differential equations, " Nonlin. Dyn. 29, 3-22.
-
(2002)
Nonlin. Dyn.
, vol.29
, pp. 3-22
-
-
Diethelm, K.1
Ford, N.J.2
Freed, A.D.3
-
10
-
-
77957821442
-
Fractional order sliding mode controller design for fractional order dynamic systems
-
eds. Baleanu, D., Güveņc, Z. B. & Tenreiro Machado, J. A. (Springer, Netherlands)
-
Efe, M. O. [2010] "Fractional order sliding mode controller design for fractional order dynamic systems, " New Trends in Nanotechnology and Fractional Calculus Applications, Vol. 5, eds. Baleanu, D., Güveņc, Z. B. & Tenreiro Machado, J. A. (Springer, Netherlands), pp. 463-470.
-
(2010)
New Trends in Nanotechnology and Fractional Calculus Applications
, vol.5
, pp. 463-470
-
-
Efe, M.O.1
-
11
-
-
79952672961
-
Chaos in a fractional-order modified van der Pol oscillator
-
Gao, X. [2011] "Chaos in a fractional-order modified van der Pol oscillator, " Adv. Mater. Res. 187, 603-608.
-
(2011)
Adv. Mater. Res.
, vol.187
, pp. 603-608
-
-
Gao, X.1
-
12
-
-
12044251580
-
Circuit implementation of synchronized chaos with applications to communications
-
Kevin, M., Cuomo, K. M. & Oppenheim, A. V. [1993] "Circuit implementation of synchronized chaos with applications to communications, " Phys. Rev. Lett. 71, 65-68.
-
(1993)
Phys. Rev. Lett.
, vol.71
, pp. 65-68
-
-
Kevin, M.1
Cuomo, K.M.2
Oppenheim, A.V.3
-
13
-
-
78049324242
-
Studies on fractional order differentiators and integrators: A survey
-
Krishna, B. T. [2011] "Studies on fractional order differentiators and integrators: A survey, " Sign. Process. 91, 386-426.
-
(2011)
Sign. Process.
, vol.91
, pp. 386-426
-
-
Krishna, B.T.1
-
14
-
-
14844312284
-
Adaptive control and synchronization of Chua's circuits
-
Liao, T. L. & Lin, S. H. [1999] "Adaptive control and synchronization of Chua's circuits, " Asian J. Contr. 2, 75-87.
-
(1999)
Asian J. Contr.
, vol.2
, pp. 75-87
-
-
Liao, T.L.1
Lin, S.H.2
-
15
-
-
0037246536
-
A new chaotic system and its generation
-
Liu, W. & Chen, G. [2003] "A new chaotic system and its generation, " Int. J. Bifurcation and Chaos 13, 261-267.
-
(2003)
Int. J. Bifurcation and Chaos
, vol.13
, pp. 261-267
-
-
Liu, W.1
Chen, G.2
-
16
-
-
78049486899
-
A time-varying hyperchaotic system and its realization in circuit
-
Ma, J., Li, A. B., Pu, Z. S., Yang, L. J. & Wang, Y. Z. [2010] "A time-varying hyperchaotic system and its realization in circuit, " Nonlin. Dyn. 62, 535-541.
-
(2010)
Nonlin. Dyn.
, vol.62
, pp. 535-541
-
-
Ma, J.1
Li, A.B.2
Pu, Z.S.3
Yang, L.J.4
Wang, Y.Z.5
-
17
-
-
77957362117
-
Recent history of fractional calculus
-
Machado, J. T., Kiryakova, V. & Mainardi, F. [2011] "Recent history of fractional calculus, " Commun. Nonlin. Sci. Numer. Simul. 16, 1140-1153.
-
(2011)
Commun. Nonlin. Sci. Numer. Simul.
, vol.16
, pp. 1140-1153
-
-
MacHado, J.T.1
Kiryakova, V.2
Mainardi, F.3
-
18
-
-
78049325210
-
On the fractional signals and systems
-
Magin, R., Ortigueira, M. D., Podlubny, I. & Trujillo, J. [2011] "On the fractional signals and systems, " Sign. Process. 91, 350-371.
-
(2011)
Sign. Process.
, vol.91
, pp. 350-371
-
-
Magin, R.1
Ortigueira, M.D.2
Podlubny, I.3
Trujillo, J.4
-
19
-
-
33847065079
-
Synchronization of fractional order chaotic systems
-
Peng, G. [2007] "Synchronization of fractional order chaotic systems, " Phys. Lett. A 363, 426-432.
-
(2007)
Phys. Lett. A
, vol.363
, pp. 426-432
-
-
Peng, G.1
-
20
-
-
41849104190
-
A note on the fractional-order Chua's system
-
Petrá̌s, I. [2008] "A note on the fractional-order Chua's system, " Chaos Solit. Fract. 38, 140-147.
-
(2008)
Chaos Solit. Fract.
, vol.38
, pp. 140-147
-
-
Petrá̌s, I.1
-
22
-
-
0036650890
-
Analogue realizations of fractional-order controllers
-
Podlubny, I., Petrá̌s, I., Vinagre, B. M., O'Leary, P. & Dořcák, L. [2002] "Analogue realizations of fractional-order controllers, " Nonlin. Dyn. 29, 281-296.
-
(2002)
Nonlin. Dyn.
, vol.29
, pp. 281-296
-
-
Podlubny, I.1
Petrá̌s, I.2
Vinagre, B.M.3
O'Leary, P.4
Dořcák, L.5
-
23
-
-
80053285255
-
Chua's circuit regulation using a nonlinear adaptive feedback technique
-
Razminia, A. & Sadrnia, M. A. [2007] "Chua's circuit regulation using a nonlinear adaptive feedback technique, " World Acad. Sci., Engin. Technol. 34, 350-354.
-
(2007)
World Acad. Sci., Engin. Technol.
, vol.34
, pp. 350-354
-
-
Razminia, A.1
Sadrnia, M.A.2
-
24
-
-
77950842827
-
A new fractional-order chaotic system and its synchronization control
-
Shan, L., Liu, Z., Li, J. & Wang, Z. [2009] "A new fractional-order chaotic system and its synchronization control, " Proc. IEEE Conf. Decision and Control Held Jointly with Chinese Control Conf. CDC/CCC 2009, pp. 5918-5922.
-
(2009)
Proc. IEEE Conf. Decision and Control Held Jointly with Chinese Control Conf. CDC/CCC 2009
, pp. 5918-5922
-
-
Shan, L.1
Liu, Z.2
Li, J.3
Wang, Z.4
-
25
-
-
33748565977
-
Chaos in a new system with fractional order
-
Sheu, L. J., Chen, H. K., Chen, J. H. & Tam, L. M. [2007] "Chaos in a new system with fractional order, " Chaos Solit. Fract. 31, 1203-1212.
-
(2007)
Chaos Solit. Fract.
, vol.31
, pp. 1203-1212
-
-
Sheu, L.J.1
Chen, H.K.2
Chen, J.H.3
Tam, L.M.4
-
26
-
-
67449116072
-
Alternative implementation of the chaotic Chen-Lee system
-
Sheu, L. J., Tam, L. M., Chen, H. K. & Lao, S. K. [2009] "Alternative implementation of the chaotic Chen-Lee system, " Chaos Solit. Fract. 41, 1923-1929.
-
(2009)
Chaos Solit. Fract.
, vol.41
, pp. 1923-1929
-
-
Sheu, L.J.1
Tam, L.M.2
Chen, H.K.3
Lao, S.K.4
-
27
-
-
79959528048
-
A speech encryption using fractional chaotic systems
-
Sheu, L. J. [2011] "A speech encryption using fractional chaotic systems, " Nonlin. Dyn. 65, 103-108.
-
(2011)
Nonlin. Dyn.
, vol.65
, pp. 103-108
-
-
Sheu, L.J.1
-
28
-
-
0034645889
-
A new class of chaotic circuit
-
Sprott, J. C. [2000] "A new class of chaotic circuit, " Phys. Lett. A 266, 19-23.
-
(2000)
Phys. Lett. A
, vol.266
, pp. 19-23
-
-
Sprott, J.C.1
-
29
-
-
69249150439
-
Dynamics of a simplified Lorenz system
-
Sun, K. & Sprott, J. C. [2009] "Dynamics of a simplified Lorenz system, " Int. J. Bifurcation and Chaos 19, 1357-1366.
-
(2009)
Int. J. Bifurcation and Chaos
, vol.19
, pp. 1357-1366
-
-
Sun, K.1
Sprott, J.C.2
-
30
-
-
77954194607
-
Bifurcations and chaos in fractional-order simplified Lorenz system
-
Sun, K., Wang, X. & Sprott, J. C. [2010] "Bifurcations and chaos in fractional-order simplified Lorenz system, " Int. J. Bifurcation and Chaos 20, 1209-1219.
-
(2010)
Int. J. Bifurcation and Chaos
, vol.20
, pp. 1209-1219
-
-
Sun, K.1
Wang, X.2
Sprott, J.C.3
-
31
-
-
40249084124
-
Parametric study of the fractional order Chen-Lee system
-
Tam, L. M. & SiTou, W. M. [2008] "Parametric study of the fractional order Chen-Lee system, " Chaos Solit. Fra c t. 37, 817-826.
-
(2008)
Chaos Solit. Fra C T.
, vol.37
, pp. 817-826
-
-
Tam, L.M.1
Sitou, W.M.2
-
32
-
-
34249750668
-
Study on the critical chaotic system with fractional order and circuit experiment
-
Wang, F. Q. & Liu, C. X. [2006] "Study on the critical chaotic system with fractional order and circuit experiment, " Acta Phys. Sin. Ch. Ed. 55, 3922-3927.
-
(2006)
Acta Phys. Sin. Ch. Ed.
, vol.55
, pp. 3922-3927
-
-
Wang, F.Q.1
Liu, C.X.2
-
33
-
-
0002338396
-
Experimental confirmation of chaos from Chua's circuit
-
Zhong, G. Q. & Ayrom, F. [1985] "Experimental confirmation of chaos from Chua's circuit, " Int. J. Circ. Theor. App. 13, 93-98.
-
(1985)
Int. J. Circ. Theor. App.
, vol.13
, pp. 93-98
-
-
Zhong, G.Q.1
Ayrom, F.2
|