Chaos synchronization in coupled chaotic oscillators with multiple positive Lyapunov exponents

被引:104
作者
Yang, JZ [1 ]
Hu, G
Xiao, JH
机构
[1] Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China
[2] Chinese Ctr Adv Sci & Technol, World Lab, Beijing 100875, Peoples R China
关键词
D O I
10.1103/PhysRevLett.80.496
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Wie investigate chaos synchronization in coupled chaotic oscillators by local feedback injections (pinnings). A novel approach to count the dimension of unstable manifold of coupled systems and to characterize the controllability condition of chaos synchronization is suggested. The relation between pinning density and the diffusive and gradient couplings is investigated in detail, and it is shown that high control efficiency can be achieved at strong gradient coupling.
引用
收藏
页码:496 / 499
页数:4
相关论文
共 13 条
[1]   TAMING CHAOTIC DYNAMICS WITH WEAK PERIODIC PERTURBATIONS [J].
BRAIMAN, Y ;
GOLDHIRSCH, I .
PHYSICAL REVIEW LETTERS, 1991, 66 (20) :2545-2548
[2]   EXPERIMENTAL CONTROL OF CHAOS [J].
DITTO, WL ;
RAUSEO, SN ;
SPANO, ML .
PHYSICAL REVIEW LETTERS, 1990, 65 (26) :3211-3214
[3]   SHORT-WAVELENGTH BIFURCATIONS AND SIZE INSTABILITIES IN COUPLED OSCILLATOR-SYSTEMS [J].
HEAGY, JF ;
PECORA, LM ;
CARROLL, TL .
PHYSICAL REVIEW LETTERS, 1995, 74 (21) :4185-4188
[4]   SYNCHRONOUS CHAOS IN COUPLED OSCILLATOR-SYSTEMS [J].
HEAGY, JF ;
CARROLL, TL ;
PECORA, LM .
PHYSICAL REVIEW E, 1994, 50 (03) :1874-1885
[5]  
HU G, 1994, PHYS REV LETT, V72, P68, DOI 10.1103/PhysRevLett.72.68
[6]   STABILIZING HIGH-PERIOD ORBITS IN A CHAOTIC SYSTEM - THE DIODE RESONATOR [J].
HUNT, ER .
PHYSICAL REVIEW LETTERS, 1991, 67 (15) :1953-1955
[7]   Synchronizing spatiotemporal chaos in coupled nonlinear oscillators [J].
Kocarev, L ;
Parlitz, U .
PHYSICAL REVIEW LETTERS, 1996, 77 (11) :2206-2209
[8]   Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems [J].
Kocarev, L ;
Parlitz, U .
PHYSICAL REVIEW LETTERS, 1996, 76 (11) :1816-1819
[9]   Synchronization waves in arrays of driven chaotic systems [J].
Lorenzo, MN ;
Marino, IP ;
PerezMunuzuri, V ;
Matias, MA ;
PerezVillar, V .
PHYSICAL REVIEW E, 1996, 54 (04) :R3094-R3097
[10]   CONTROLLING CHAOS [J].
OTT, E ;
GREBOGI, C ;
YORKE, JA .
PHYSICAL REVIEW LETTERS, 1990, 64 (11) :1196-1199