论文信息 - Triangular Form of Chaotic System and its Application in Chaos Synchronization

Triangular Form of Chaotic System and its Application in Chaos Synchronization

The triangular form of a chaotic system and how to obtain it from the Lie derivative are introduced. Based on this, both the synchronization of Genesio–Tesi and Coullet systems and the generalized synchronization of Lu and Sprott-B systems are realized in two feedback ways through designing nonlinear controllers. Results of numerical simulations in MATLAB validate the effectiveness of the given synchronization methods further.

[1] E. Bai,et al. On the synchronization of a class of electronic circuits that exhibit chaos , 2002 .

[2] L. Kocarev,et al. Towards generalized synchronization of strictly different chaotic systems [rapid communication] , 2005 .

[3] M. Feki. Observer-based exact synchronization of ideal and mismatched chaotic systems , 2003 .

[4] Jinhu Lu,et al. Chaos synchronization between linearly coupled chaotic systems , 2002 .

[5] J. Sprott,et al. Some simple chaotic flows. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[6] Ricardo Femat,et al. An extension to chaos control via Lie derivatives: Fully linearizable systems. , 2002, Chaos.

[7] Ljupco Kocarev,et al. Lie Derivatives and Dynamical Systems , 1998 .

[8] Julien Clinton Sprott,et al. A new class of chaotic circuit , 2000 .