Clusters of synchronization and bistability in lattices of chaotic neurons

被引:37
作者
Huerta, R [1 ]
Bazhenov, M
Rabinovich, MI
机构
[1] Univ Autonoma Madrid, Dept Comp Engn, E-28049 Madrid, Spain
[2] Salk Inst Biol Studies, Howard Hughes Med Inst, Computat Neurobiol Lab, La Jolla, CA 92037 USA
[3] Univ Calif San Diego, Inst Nonlinear Sci, La Jolla, CA 92093 USA
来源
EUROPHYSICS LETTERS | 1998年 / 43卷 / 06期
关键词
D O I
10.1209/epl/i1998-00423-y
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigated different regimes of synchronization in large lattices of chaotic spiking-bursting neurons. The lattices exhibit the following features: developed spatio-temporal disorder with no synchronization; spatial clusters of bursting synchronization; homogeneous bursting synchronization; and complete chaotic synchronization. We observed a bistable synchronization phenomenon in a wide region of the control parameter space. The bistability exists for homogeneous bursting synchronization with long-range correlation and spatial clusters of partial synchronization. The bistable regime appears in lattices with a size larger than the space-scale of these clusters.
引用
收藏
页码:719 / 724
页数:6
相关论文
共 16 条
[1]   Cooperative behavior of a chain of synaptically coupled chaotic neurons [J].
Bazhenov, M ;
Huerta, R ;
Rabinovich, MI ;
Sejnowski, T .
PHYSICA D, 1998, 116 (3-4) :392-400
[2]   LONG-RANGE ORDER WITH LOCAL CHAOS IN LATTICES OF DIFFUSIVELY COUPLED ODES [J].
BRUNNET, L ;
CHATE, H ;
MANNEVILLE, P .
PHYSICA D, 1994, 78 (3-4) :141-154
[3]   Non-trivial collective behavior in extensively-chaotic dynamical systems: An update [J].
Chate, H ;
Lemaitre, A ;
Marcq, P ;
Manneville, P .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1996, 224 (1-2) :447-457
[4]   MATHEMATICAL-THEORY OF VISUAL HALLUCINATION PATTERNS [J].
ERMENTROUT, GB ;
COWAN, JD .
BIOLOGICAL CYBERNETICS, 1979, 34 (03) :137-150
[5]  
FOHLMEISTER C, 1995, NEURAL COMPUT, V7, P1046
[6]   Overview: Synchronization and patterns in complex systems [J].
GaponovGrekhov, AV ;
Rabinovich, MI .
CHAOS, 1996, 6 (03) :259-261
[7]  
GAPONOVGREKHOV AV, 1992, NONLINEARITY ACTION
[8]   SYNCHRONIZATION AND COMPUTATION IN A CHAOTIC NEURAL NETWORK [J].
HANSEL, D ;
SOMPOLINSKY, H .
PHYSICAL REVIEW LETTERS, 1992, 68 (05) :718-721
[9]   Chaos and synchrony in a model of a hypercolumn in visual cortex [J].
Hansel, D ;
Sompolinsky, H .
JOURNAL OF COMPUTATIONAL NEUROSCIENCE, 1996, 3 (01) :7-34
[10]   A MODEL OF NEURONAL BURSTING USING 3 COUPLED 1ST ORDER DIFFERENTIAL-EQUATIONS [J].
HINDMARSH, JL ;
ROSE, RM .
PROCEEDINGS OF THE ROYAL SOCIETY SERIES B-BIOLOGICAL SCIENCES, 1984, 221 (1222) :87-102