Full state hybrid lag projective synchronization in chaotic (hyperchaotic) systems

Abstract This Letter introduces another novel type of chaos synchronization—full state hybrid lag projective synchronization (FSHLPS), which includes complete synchronization, anti-synchronization, lag synchronization, general projective synchronization and FSHPS in [M. Hu, Z. Xu, R. Zhang, Commun. Nonlinear Sci. Numer. Simul. 13 (2008) 456; M. Hu, Z. Xu, R. Zhang, A. Hu, Phys. Lett. A 361 (2007) 231]. Furthermore, systematic FSHLPS schemes are respectively proposed for the continuous and discrete systems. Finally, some numerical simulations are given to verify the effectiveness of the developed schemes.

[1]  Q. Han.  New delay-dependent synchronization criteria for Lur'e systems using time delay feedback control , 2007 .

[2]  Guo-Hui Li,et al.  Generalized projective synchronization between two different chaotic systems using active backstepping control , 2006 .

[3]  Shihua Chen,et al.  A stable-manifold-based method for chaos control and synchronization , 2004 .

[4]  Rong Zhang,et al.  Full state hybrid projective synchronization in continuous-time chaotic (hyperchaotic) systems , 2008 .

[5]  K. Stefanski.  Modelling chaos and hyperchaos with 3-D maps , 1998 .

[6]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[7]  G. Baier,et al.  Maximum hyperchaos in generalized Hénon maps , 1990 .

[8]  O. Rössler.  An equation for hyperchaos , 1979 .

[9]  Rong Zhang,et al.  Parameters identification and adaptive full state hybrid projective synchronization of chaotic (hyper-chaotic) systems , 2007 .

[10]  Guanrong Chen,et al.  Hyperchaos evolved from the generalized Lorenz equation , 2005, Int. J. Circuit Theory Appl..

[11]  Xiaoyun Chen,et al.  Adaptive synchronization of different chaotic systems with fully unknown parameters , 2007 .

[12]  Hsien-Keng Chen,et al.  Global chaos synchronization of new chaotic systems via nonlinear control , 2005 .

[13]  Louis M. Pecora,et al.  Synchronizing chaotic circuits , 1991 .

[14]  Zhenya Yan,et al.  A nonlinear control scheme to anticipated and complete synchronization in discrete-time chaotic (hyperchaotic) systems , 2005 .

[15]  Daolin Xu,et al.  Nonlinear observer control for full-state projective synchronization in chaotic continuous-time systems , 2005 .