-
2
-
-
0041384356
-
Chaotic dynamics of the fractional Lorenz system
-
034101
-
Grigorenko I., Grigorenko E. Chaotic dynamics of the fractional Lorenz system. Phys Rev Lett 2003, 91. 034101.
-
(2003)
Phys Rev Lett
, vol.91
-
-
Grigorenko, I.1
Grigorenko, E.2
-
3
-
-
1842832060
-
Chaos in Chen's system with a fractional order
-
Li C.P., Peng G.J. Chaos in Chen's system with a fractional order. Chaos Solitons Fract 2004, 22:443-450.
-
(2004)
Chaos Solitons Fract
, vol.22
, pp. 443-450
-
-
Li, C.P.1
Peng, G.J.2
-
4
-
-
3342927052
-
Chaos and hyperchaos in the fractional-order Rössler equations
-
Li C.G., Chen G.R. Chaos and hyperchaos in the fractional-order Rössler equations. Physica A 2004, 341:55-61.
-
(2004)
Physica A
, vol.341
, pp. 55-61
-
-
Li, C.G.1
Chen, G.R.2
-
5
-
-
34848901352
-
Dynamic analysis of the fractional-order Liu system and its synchroniztion
-
033106
-
Wang X.Y., Wang M.J. Dynamic analysis of the fractional-order Liu system and its synchroniztion. Chaos 2007, 17. 033106.
-
(2007)
Chaos
, vol.17
-
-
Wang, X.Y.1
Wang, M.J.2
-
6
-
-
0343689904
-
Synchronization in chaotic systems
-
Pecora L.M., Carrol T.L. Synchronization in chaotic systems. Phys Rev Lett 1990, 64:821-824.
-
(1990)
Phys Rev Lett
, vol.64
, pp. 821-824
-
-
Pecora, L.M.1
Carrol, T.L.2
-
7
-
-
51549121289
-
Dynamic analysis feedback control and synchronization of Liu dynamical system
-
Matouk A.E. Dynamic analysis feedback control and synchronization of Liu dynamical system. Nonlinear Anal Theor Meth Appl 2008, 69:3213-3224.
-
(2008)
Nonlinear Anal Theor Meth Appl
, vol.69
, pp. 3213-3224
-
-
Matouk, A.E.1
-
8
-
-
50249121925
-
A chaotic secure communication scheme using fractional chaotic systems based on an extended fractional Kalman filter
-
Arman Kiani-B., Kia Fallahi, Naser Pariz, et al. A chaotic secure communication scheme using fractional chaotic systems based on an extended fractional Kalman filter. Commun Nonlinear Sci Numer Simulat 2009, 14:863-879.
-
(2009)
Commun Nonlinear Sci Numer Simulat
, vol.14
, pp. 863-879
-
-
Arman, K.-B.1
Kia, F.2
Naser, P.3
-
9
-
-
0002731965
-
Stability results for fractional differential equations with applications to control processing Computational Engineering in Systems and Application.
-
In: Multiconference, IMACS, IEEE-SMC, Lille, France
-
Matignon D. Stability results for fractional differential equations with applications to control processing Computational Engineering in Systems and Application. In: Multiconference, IMACS, IEEE-SMC, Lille, France 1996; 2:963-968.
-
(1996)
, vol.2
, pp. 963-968
-
-
Matignon, D.1
-
10
-
-
18844427587
-
Chaos synchronization of the fractional Lü system
-
Deng W.H., Li C.P. Chaos synchronization of the fractional Lü system. Physica A 2005, 353:61-72.
-
(2005)
Physica A
, vol.353
, pp. 61-72
-
-
Deng, W.H.1
Li, C.P.2
-
11
-
-
27744554781
-
Chaos synchronization of the Chua system with a fractional order
-
Li C.P., Deng W.H. Chaos synchronization of the Chua system with a fractional order. Physica A 2006, 360:171-185.
-
(2006)
Physica A
, vol.360
, pp. 171-185
-
-
Li, C.P.1
Deng, W.H.2
-
12
-
-
33749553588
-
The synchronization of three fractional differential systems
-
Li C.P., Yan J.P. The synchronization of three fractional differential systems. Chaos Solitons Fract 2007, 32:751-757.
-
(2007)
Chaos Solitons Fract
, vol.32
, pp. 751-757
-
-
Li, C.P.1
Yan, J.P.2
-
13
-
-
67649319511
-
Chaos synchronization of the fractional-order Chen's system
-
Zhu H., Zhou S.B., He Z. Chaos synchronization of the fractional-order Chen's system. Chaos, Solitons Fract 2009, 41:2733-2740.
-
(2009)
Chaos, Solitons Fract
, vol.41
, pp. 2733-2740
-
-
Zhu, H.1
Zhou, S.B.2
He, Z.3
-
14
-
-
60849138778
-
Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control
-
Wang X.Y., Song J.M. Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control. Commun Nonlinear Sci Numer Simulat 2009, 14:3351-3357.
-
(2009)
Commun Nonlinear Sci Numer Simulat
, vol.14
, pp. 3351-3357
-
-
Wang, X.Y.1
Song, J.M.2
-
15
-
-
72149089014
-
Chaos control of a fractional order modified coupled dynamos system
-
Wang X.Y., He Y.J., Wang M.J. Chaos control of a fractional order modified coupled dynamos system. Nonlinear Anal 2009, 71:6126-6134.
-
(2009)
Nonlinear Anal
, vol.71
, pp. 6126-6134
-
-
Wang, X.Y.1
He, Y.J.2
Wang, M.J.3
-
16
-
-
77949913266
-
Control of a fractional-order economical system via sliding mode
-
Sara Dadras, Hamid Reza Moneni Control of a fractional-order economical system via sliding mode. Physica A 2010, 389:2434-2442.
-
(2010)
Physica A
, vol.389
, pp. 2434-2442
-
-
Sara, D.1
Hamid Reza, M.2
-
17
-
-
77956057555
-
Chaos, feedback control and synchronization of a fractional-order modified Autonomous Van der Pol-Duffing circuit
-
Matouk A.E. Chaos, feedback control and synchronization of a fractional-order modified Autonomous Van der Pol-Duffing circuit. Commun Nonlinear Sci Numer Simulat 2011, 16:975-986.
-
(2011)
Commun Nonlinear Sci Numer Simulat
, vol.16
, pp. 975-986
-
-
Matouk, A.E.1
-
18
-
-
0002963435
-
Double strange attractors in rigid body motion with linear feedback control
-
Leipnik R.B., Newton T.A. Double strange attractors in rigid body motion with linear feedback control. Phys Lett A 1981, 86:63-67.
-
(1981)
Phys Lett A
, vol.86
, pp. 63-67
-
-
Leipnik, R.B.1
Newton, T.A.2
-
19
-
-
0347985412
-
A stable-manifold-based method for chaos control and synchronization
-
Chen S., Zhang Q., Xie J., et al. A stable-manifold-based method for chaos control and synchronization. Chaos Solitons Fract 2004, 20:947-954.
-
(2004)
Chaos Solitons Fract
, vol.20
, pp. 947-954
-
-
Chen, S.1
Zhang, Q.2
Xie, J.3
-
20
-
-
0037194386
-
Controlling chaotic system with multiple strange attractors
-
Richter H. Controlling chaotic system with multiple strange attractors. Phys Lett A 2002, 300:182-188.
-
(2002)
Phys Lett A
, vol.300
, pp. 182-188
-
-
Richter, H.1
-
21
-
-
22344445784
-
Bifurcation analysis and linear control of the Newton-Leipnik system
-
Wang X., Tian L. Bifurcation analysis and linear control of the Newton-Leipnik system. Chaos Solitons Fract 2006, 27:31-38.
-
(2006)
Chaos Solitons Fract
, vol.27
, pp. 31-38
-
-
Wang, X.1
Tian, L.2
-
22
-
-
33748565977
-
Chaos in a new system with a fractional order
-
Sheu L.J., Chen H.K., Chen J.H., et al. Chaos in a new system with a fractional order. Chaos Solitons Fract 2007, 31:1203-1212.
-
(2007)
Chaos Solitons Fract
, vol.31
, pp. 1203-1212
-
-
Sheu, L.J.1
Chen, H.K.2
Chen, J.H.3
-
23
-
-
35348886158
-
Chaos in the Newton-Leipnik system with fractional order
-
Sheu L.J., Chen H.K., Chen J.H., et al. Chaos in the Newton-Leipnik system with fractional order. Chaos Solitons Fract 2008, 36:98-103.
-
(2008)
Chaos Solitons Fract
, vol.36
, pp. 98-103
-
-
Sheu, L.J.1
Chen, H.K.2
Chen, J.H.3
-
24
-
-
34748898883
-
Chaos control and synchronization of the Newton-Leipnik chaotic system
-
Jia Q. Chaos control and synchronization of the Newton-Leipnik chaotic system. Chaos Solitons Fract 2008, 35:814-824.
-
(2008)
Chaos Solitons Fract
, vol.35
, pp. 814-824
-
-
Jia, Q.1
-
25
-
-
84977255207
-
Linear models of dissipation whose Q is almost frequency independent
-
Caputo M. Linear models of dissipation whose Q is almost frequency independent. Geophys J Roy Astron Soc 1967, 13:529-539.
-
(1967)
Geophys J Roy Astron Soc
, vol.13
, pp. 529-539
-
-
Caputo, M.1
-
26
-
-
33746648126
-
On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems
-
Ahmed E., El-Sayed A.M.A., El-Saka H.A.A. On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems. Phys Let A 2006, 358:1-4.
-
(2006)
Phys Let A
, vol.358
, pp. 1-4
-
-
Ahmed, E.1
El-Sayed, A.M.A.2
El-Saka, H.A.A.3
-
27
-
-
33750295344
-
Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
-
Ahmed E., El-Sayed A.M.A., El-Saka H.A.A. Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models. J Math Anal Appl 2007, 325:542-553.
-
(2007)
J Math Anal Appl
, vol.325
, pp. 542-553
-
-
Ahmed, E.1
El-Sayed, A.M.A.2
El-Saka, H.A.A.3
-
28
-
-
0001618393
-
An algorithm for the numerical solution of differential equations of fractional order
-
Diethelm K. An algorithm for the numerical solution of differential equations of fractional order. Electron Trans Numer Anal 1997, 5:1-6.
-
(1997)
Electron Trans Numer Anal
, vol.5
, pp. 1-6
-
-
Diethelm, K.1
-
29
-
-
0037081673
-
Analysis of fraction differential equations
-
Diethelm K., Ford N.J. Analysis of fraction differential equations. J Math Anal Appl 2002, 265:229-248.
-
(2002)
J Math Anal Appl
, vol.265
, pp. 229-248
-
-
Diethelm, K.1
Ford, N.J.2
-
30
-
-
0036650479
-
A predictor-corrector approach for the numerical solution of fractional differential equations
-
Diethelm K., Ford N.J., Freed A.D. A predictor-corrector approach for the numerical solution of fractional differential equations. Nonlinear Dyn 2002, 29:3-22.
-
(2002)
Nonlinear Dyn
, vol.29
, pp. 3-22
-
-
Diethelm, K.1
Ford, N.J.2
Freed, A.D.3
-
31
-
-
0010186169
-
The FracPECE subroutine for the numerical solution of differential equations of fractional order
-
Gesellschaft fur̈ wissenschaftliches Datenverarbeitung, Göttingen, S. Heinzel, T. Plesser (Eds.)
-
Diethelm K., Freed A.D. The FracPECE subroutine for the numerical solution of differential equations of fractional order. Forschung und wissenschaftliches Rechnen 1999, 57-71. Gesellschaft fur̈ wissenschaftliches Datenverarbeitung, Göttingen. S. Heinzel, T. Plesser (Eds.).
-
(1999)
Forschung und wissenschaftliches Rechnen
, pp. 57-71
-
-
Diethelm, K.1
Freed, A.D.2
-
32
-
-
78049454811
-
Chaos and hybrid projective synchronization of commensurate and incommensurate fractional-order Chen-Lee systems
-
Chang C.M., Chen H.K. Chaos and hybrid projective synchronization of commensurate and incommensurate fractional-order Chen-Lee systems. Nonlinear Dyn 2010, 10.1007/s11071-010-9767-6.
-
(2010)
Nonlinear Dyn
-
-
Chang, C.M.1
Chen, H.K.2
-
33
-
-
34347330038
-
A necessary condition for double scroll attractor existence in fractional-order systems
-
Tavazoei M.S., Haeri M. A necessary condition for double scroll attractor existence in fractional-order systems. Phys. Lett. A 2007, 367:102-113.
-
(2007)
Phys. Lett. A
, vol.367
, pp. 102-113
-
-
Tavazoei, M.S.1
Haeri, M.2
-
34
-
-
51249088596
-
Chaotic attractors in incommensurate fractional order systems
-
Tavazoei M.S., Haeri M. Chaotic attractors in incommensurate fractional order systems. Physica D 2008, 237:2628-2637.
-
(2008)
Physica D
, vol.237
, pp. 2628-2637
-
-
Tavazoei, M.S.1
Haeri, M.2
-
35
-
-
67649626081
-
Mittag-Leffler stability of fractional order nonlinear dynamic systems
-
Li Y., Chen Y.Q., Podlubny I. Mittag-Leffler stability of fractional order nonlinear dynamic systems. Automatica 2009, 45:1965-1969.
-
(2009)
Automatica
, vol.45
, pp. 1965-1969
-
-
Li, Y.1
Chen, Y.Q.2
Podlubny, I.3
-
36
-
-
77956773241
-
Mittag-Leffler stability theorem for fractional nonlinear systems with delay
-
Baleanu D., Sadati S.J., Ranjbar A., Ghaderi R., Abdeljawad T. Mittag-Leffler stability theorem for fractional nonlinear systems with delay. Abstr Appl Anal 2010, 10.1155/2010/108651.
-
(2010)
Abstr Appl Anal
-
-
Baleanu, D.1
Sadati, S.J.2
Ranjbar, A.3
Ghaderi, R.4
Abdeljawad, T.5
-
37
-
-
77954552119
-
Razumikhin Stability Theorem for Fractional Systems with Delay
-
Baleanu D., Sadati S.J., Ghaderi R., Ranjbar A., Abdeljawad T., Jarad F. Razumikhin Stability Theorem for Fractional Systems with Delay. Abstr Appl Anal 2010, 10.1155/2010/124812.
-
(2010)
Abstr Appl Anal
-
-
Baleanu, D.1
Sadati, S.J.2
Ghaderi, R.3
Ranjbar, A.4
Abdeljawad, T.5
Jarad, F.6
|