Adaptive backstepping control, synchronization and circuit simulation of a 3-D novel jerk chaotic system with two hyperbolic sinusoidal nonlinearities
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Sundarapandian Vaidyanathan | Christos Volos | Viet-Thanh Pham | Babatunde A. Idowu | K. Madhavan | S. Vaidyanathan | V. Pham | C. Volos | B. Idowu | Kavitha Madhavan
[1] Guoliang Cai,et al. Adaptive Backstepping Control of the Uncertain Unified Chaotic System , 2007 .
[2] H. Agiza,et al. Synchronization of Rossler and Chen chaotic dynamical systems using active control , 2001, Physics Letters A.
[3] Henry D. I. Abarbanel. Controlling chaos: Theoretical and practical methods in non-linear dynamics , 1997 .
[4] Julien Clinton Sprott,et al. A new class of chaotic circuit , 2000 .
[5] J. C. Sprotta. Some simple chaotic jerk functions , 1997 .
[6] J. Sprott,et al. Some simple chaotic flows. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[7] Sr Technical,et al. Anti-synchronization of Four-wing Chaotic Systems via Sliding Mode Control , 2012 .
[8] Julien Clinton Sprott,et al. Simple chaotic flows with a line equilibrium , 2013 .
[9] O. Rössler. An equation for continuous chaos , 1976 .
[10] F. Takens,et al. On the nature of turbulence , 1971 .
[11] Sundarapandian Vaidyanathan,et al. Analysis, Adaptive Control and Synchronization of a Seven - Term Novel 3 - D Chaotic System with Three Quadratic Nonlinearities and its Digital Implementation in LabVIEW , 2015 .
[12] V. Sundarapan,et al. Anti-Synchronization of Lu and Pan Chaotic Systems by Adaptive Nonlinear Control , 2011 .
[13] V. Sundarapandian,et al. Analysis and Anti-Synchronization of a Novel Chaotic System via Active and Adaptive Controllers , 2013 .
[14] Sundarapandian Vaidyanathan,et al. Global Chaos Synchronization of Hyperchaotic Pang and Hyperchaotic Wang Systems via Adaptive Control , 2011 .
[15] Hans Peter Gottlieb,et al. What is the Simplest Jerk Function that Gives Chaos , 1996 .
[16] Gregory L. Baker,et al. Chaotic Dynamics: An Introduction , 1990 .
[17] Jinhu Lu,et al. A New Chaotic Attractor Coined , 2002, Int. J. Bifurc. Chaos.
[18] Chongxin Liu,et al. A new chaotic attractor , 2004 .
[19] Sundarapandian Vaidyanathan. Global Chaos Synchronization of Hyperchaotic Pang and Hyperchaotic Wang Systems via Adaptive Control , 2011 .
[20] Jian Xu,et al. Projective synchronization of different chaotic time-delayed neural networks based on integral sliding mode controller , 2010, Appl. Math. Comput..
[21] J. Yorke,et al. Chaos: An Introduction to Dynamical Systems , 1997 .
[22] Sundarapandian Vaidyanathan,et al. Global Chaos Synchronization of n-Scroll Chua Circuit and Lur’e System using Backstepping Control Design with Recursive Feedback , 2014 .
[23] Sundarapandian Vaidyanathan,et al. Analysis, synchronization and circuit design of a novel butterfly attractor , 2014 .
[24] E. Lorenz. Deterministic nonperiodic flow , 1963 .
[25] V. Sundarapandian,et al. Analysis, control, synchronization, and circuit design of a novel chaotic system , 2012, Math. Comput. Model..
[26] Sundarapandian Vaidyanathan,et al. Global Chaos Synchronization of WINDMI and Coullet Chaotic Systems using Adaptive Backstepping Control Design , 2014 .
[27] Louis M Pecora,et al. Synchronization of chaotic systems. , 2015, Chaos.
[28] Ronnie Mainieri,et al. Projective Synchronization In Three-Dimensional Chaotic Systems , 1999 .
[29] Sundarapandian Vaidyanathan,et al. Hybrid Synchronization of n-scroll Chaotic Chua Circuits using Adaptive Backstepping Control Design with Recursive Feedback , 2013 .
[30] M. Yassen. Controlling, synchronization and tracking chaotic Liu system using active backstepping design , 2007 .
[31] Viet-Thanh Pham,et al. Constructing a Novel No-Equilibrium Chaotic System , 2014, Int. J. Bifurc. Chaos.
[32] Guoliang Cai,et al. Chaos Synchronization of a New Chaotic System via Nonlinear Control , 2007 .
[33] Ming-Chang Pai,et al. Global synchronization of uncertain chaotic systems via discrete-time sliding mode control , 2014, Appl. Math. Comput..
[34] Uchechukwu E. Vincent,et al. Synchronization of identical and non-identical 4-D chaotic systems using active control , 2008 .
[35] H. Fujisaka,et al. Stability Theory of Synchronized Motion in Coupled-Oscillator Systems , 1983 .
[36] V. Sundarapan,et al. Sliding Controller Design of Hybrid Synchronization of Four-Wing Chaotic Systems , 2011 .
[37] V. Sundarapan,et al. Adaptive Anti-Synchronization of Uncertain Tigan and Li Systems , 2012 .
[38] Sundarapandian Vaidyanathan,et al. Generalized Projective Synchronization of Three-Scroll Chaotic Systems via Active Control , 2012 .
[39] Sundarapandian Vaidyanathan,et al. Hybrid Synchronization of Hyperchaotic Wang-Chen and Hyperchaotic Lorenz Systems by Active Non-linear Control , 2011 .
[40] L. Tsimring,et al. Generalized synchronization of chaos in directionally coupled chaotic systems. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[41] Vadim S. Anishchenko,et al. Antiphase Synchronization in symmetrically Coupled Self-oscillators , 2000, Int. J. Bifurc. Chaos.
[42] M. Lakshmanan,et al. Chaos in Nonlinear Oscillators: Controlling and Synchronization , 1996 .
[43] Uchechukwu E. Vincent,et al. Chaos control of 4D chaotic systems using recursive backstepping nonlinear controller , 2007 .
[44] Sundarapandian Vaidyanathan,et al. ADAPTIVE BACKSTEPPING CONTROLLER AND SYNCHRONIZER DESIGN FOR ARNEODO CHAOTIC SYSTEM WITH UNKNOWN PARAMETERS , 2012 .
[45] Kurths,et al. Phase synchronization of chaotic oscillators. , 1996, Physical review letters.
[46] Guanrong Chen,et al. YET ANOTHER CHAOTIC ATTRACTOR , 1999 .
[47] Sundarapandian Vaidyanathan. Analysis, control and synchronisation of a six-term novel chaotic system with three quadratic nonlinearities , 2014, Int. J. Model. Identif. Control..
[48] Robert M. May,et al. Limit Cycles in Predator-Prey Communities , 1972, Science.
[49] Uchechukwu E. Vincent,et al. Synchronization of chaos in non-identical parametrically excited systems , 2009 .
[50] J. Kurths,et al. From Phase to Lag Synchronization in Coupled Chaotic Oscillators , 1997 .
[51] M. Feigenbaum. Universal behavior in nonlinear systems , 1983 .
[52] V. Sundarapan,et al. Hybrid Synchronization of Hyperchaotic Lorenz and Hyperchaotic Chen Systems via Active Control , 2012 .
[53] Alain Arneodo,et al. Possible new strange attractors with spiral structure , 1981 .
[54] S. Vaidyanathan. Analysis and Adaptive Synchronization of Two Novel Chaotic Systems with Hyperboli c Sinusoidal and Cosinusoidal Nonlinearity and Unknown Parameters , 2013 .
[55] Dequan Li,et al. A three-scroll chaotic attractor , 2008 .
[56] Rajagopal Karthikeyan,et al. Hybrid Chaos Synchronization of Four–Scroll Systems via Active Control , 2014 .
[57] P. Sarasu,et al. The Generalized Projective Synchronization of Hyperchaotic Lorenz and Hyperchaotic Qi Systems via Active Control , 2011 .
[58] Jiye Zhang,et al. Synchronizing chaotic systems using backstepping design , 2003 .
[59] F. W. Kellaway,et al. Advanced Engineering Mathematics , 1969, The Mathematical Gazette.