Adaptive projective synchronization with different scaling factors in networks

We study projective synchronization with different scaling factors (PSDF) in N coupled chaotic systems networks. By using the adaptive linear control, some sufficient criteria for the PSDF in symmetrical and asymmetrical coupled networks are separately given based on the Lyapunov function method and the left eigenvalue theory. Numerical simulations for a generalized chaotic unified system are illustrated to verify the theoretical results.

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

[2]  Jinde Cao,et al.  Synchronization and anti-synchronization for chaotic systems , 2007 .

[3]  Zhenyuan Xu,et al.  Projective synchronization in networks with different scaling factors , 2008 .

[4]  Liang,et al.  Synchronization of hyperchaotic harmonics in time-delay systems and its application to secure communication , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[5]  陆君安,et al.  Adaptive synchronization of hyperchaotic Lü system with uncertainty , 2007 .

[6]  Tianping Chen,et al.  Pinning Complex Networks by a Single Controller , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

[7]  Zhenya Yan,et al.  Chaos Q–S synchronization between Rössler system and the new unified chaotic system , 2005 .

[8]  Jun-an Lu,et al.  Synchronization of a unified chaotic system and the application in secure communication , 2002 .

[9]  D Xu,et al.  Control of projective synchronization in chaotic systems. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  Guo Hui-Jun,et al.  Synchronization of different chaotic systems via active radial basis functions sliding mode controller , 2008 .

[11]  Cui Bao-tong,et al.  Robust adaptive synchronization of chaotic neural networks by slide technique , 2008 .

[12]  Daolin Xu,et al.  Controlling the ultimate state of projective synchronization in chaotic systems of arbitrary dimension. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  徐振源,et al.  Adaptive projective synchronization of unified chaotic systems and its application to secure communication , 2007 .

[14]  Yonghui Sun,et al.  Adaptive lag synchronization of unknown chaotic delayed neural networks with noise perturbation , 2007 .

[15]  S. Bishop,et al.  Manipulating the scaling factor of projective synchronization in three-dimensional chaotic systems. , 2001, Chaos.

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

[17]  Tianping Chen,et al.  Boundedness and synchronization of y-coupled Lorenz systems with or without controllers ☆ , 2008 .

[18]  朱杰,et al.  Controlling projective synchronization in coupled chaotic systems , 2006 .

[19]  李国辉,et al.  Generalized synchronization of two different chaotic systems , 2007 .

[20]  Debin Huang,et al.  Stabilizing near-nonhyperbolic chaotic systems with applications. , 2004, Physical review letters.

[21]  Ronnie Mainieri,et al.  Projective Synchronization In Three-Dimensional Chaotic Systems , 1999 .

[22]  Manfeng Hu,et al.  Adaptive feedback controller for projective synchronization , 2008 .

[23]  Zhenyuan Xu,et al.  Projective synchronization in drive-response dynamical networks , 2007 .

[24]  Shen Ke,et al.  Phase synchronization and anti-phase synchronization of chaos for degenerate optical parametric oscillator , 2005 .

[25]  吴炜,et al.  Linear matrix inequality approach to exponential synchronization of a class of chaotic neural networks with time-varying delays , 2007 .

[26]  Tianping Chen,et al.  New approach to synchronization analysis of linearly coupled ordinary differential systems , 2006 .

[27]  Daolin Xu,et al.  Controlled Projective Synchronization in Nonpartially-Linear Chaotic Systems , 2002, Int. J. Bifurc. Chaos.

[28]  Atiya,et al.  Search for the decay K sup + r arrow. pi. sup +. nu. nu , 1990 .

[29]  Li Zhi,et al.  Adaptive synchronization of Rossler and Chen chaotic systems , 2002 .

[30]  张荣,et al.  Impulsive generalized synchronization of chaotic system , 2007 .

[31]  Zhou Ping,et al.  Realization of generalized synchronization between different chaotic systems via scalar controller , 2007 .

[32]  He Xiongxiong,et al.  Perfect synchronization of chaotic systems: A controllability perspective , 2006 .