Generalized synchronization of chaos via linear transformations

被引:133
|
作者
Yang, T [1 ]
Chua, LO [1 ]
机构
[1] Univ Calif Berkeley, Dept Elect Engn & Comp Sci, Berkeley, CA 94720 USA
来源
关键词
D O I
10.1142/S0218127499000092
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Generalized synchronization (GS) of two chaotic systems is a generalization of identical synchronization. Usually, the manifold of GS is much more complex than the driven system and the driving system. In this paper, we study a special case of GS in which the synchronization manifold is linear (linear GS for short). In a theorem, we present the necessary and sufficient conditions under which a linear GS can be achieved between two chaotic systems. In particular, we study the linear GS of two Chua's circuits.
引用
收藏
页码:215 / 219
页数:5
相关论文
共 50 条
  • [1] Generalized chaos synchronization of discrete maps via linear transformations
    Poria, Swarup
    Tarai, Anindita
    Chatterjee, Prasanta
    JURNAL FIZIK MALAYSIA, 2008, 29 (3-4): : 95 - 102
  • [2] CHAOS SYNCHRONIZATION OF LU DYNAMICAL SYSTEM VIA LINEAR TRANSFORMATIONS
    Poria, Swarup
    Umut, Omur
    JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES, 2006, 4 (01) : 87 - 93
  • [3] Generalized lag synchronization of delay coupled chaotic systems via linear transformations
    Pal, Santinath
    Sahoo, Banshidhar
    Poria, Swarup
    PHYSICA SCRIPTA, 2013, 87 (04)
  • [4] Generalized synchronization of chaos
    Kocarev, L
    Parlitz, U
    Stojanovski, T
    Panovski, L
    ISCAS 96: 1996 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS - CIRCUITS AND SYSTEMS CONNECTING THE WORLD, VOL 3, 1996, : 116 - 119
  • [5] Pinning generalized synchronization of dynamical networks via coordinate transformations
    Barajas-Ramirez, Juan Gonzalo
    Ruiz-Silva, Adriana
    Anzo-Hernandez, Andres
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2021, 190 : 1164 - 1175
  • [6] On generalized synchronization of spatial chaos
    Chen, GR
    Liu, ST
    CHAOS SOLITONS & FRACTALS, 2003, 15 (02) : 311 - 318
  • [7] Discontinuous generalized synchronization of chaos
    Fernandez, Bastien
    DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2012, 27 (01): : 105 - 116
  • [8] Generalized synchronization of chaos in a laser
    Tang, DY
    EXPERIMENTAL CHAOS, 2002, 622 : 407 - 426
  • [9] Differentiable generalized synchronization of chaos
    Hunt, BR
    Ott, E
    Yorke, JA
    PHYSICAL REVIEW E, 1997, 55 (04) : 4029 - 4034
  • [10] Differentiable generalized synchronization of chaos
    Hunt, Brian R.
    Ott, Edward
    Yorke, James A.
    Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1997, 55 (04): : 4029 - 4034