ATTRACTIVE SEPARATRIX LOOPS IN CONNECTIONIST MODELS

被引:2
作者
MIKHAILOV, AS [1 ]
POTERYAIKO, IY [1 ]
机构
[1] MV LOMONOSOV STATE UNIV,DEPT PHYS,MOSCOW 117234,USSR
来源
PHYSICA D | 1991年 / 53卷 / 01期
关键词
D O I
10.1016/0167-2789(91)90160-B
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show that the dynamical regimes with attractive separatrix loops are typical for a wide class of connectionist models with asymmetric interactions. The analysis of motion in the vicinity of such an orbit is reduced to the investigation of an iterative discrete map. This allows to formulate the explicit conditions that the separatrix loop is attractive and to study the dynamical regime of absorption into the separatrix loop.
引用
收藏
页码:13 / 24
页数:12
相关论文
共 11 条
[1]  
ATLAN H, 1989, THEORIES IMMUNE NETW
[2]   ABSOLUTE STABILITY OF GLOBAL PATTERN-FORMATION AND PARALLEL MEMORY STORAGE BY COMPETITIVE NEURAL NETWORKS [J].
COHEN, MA ;
GROSSBERG, S .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1983, 13 (05) :815-826
[3]  
Eigen M, 1979, HYPERCYCLE
[4]   NONLINEAR NEURAL NETWORKS - PRINCIPLES, MECHANISMS, AND ARCHITECTURES [J].
GROSSBERG, S .
NEURAL NETWORKS, 1988, 1 (01) :17-61
[5]  
GROSSBERG S, 1978, J THEOR BIOL, V73, P191
[6]  
LOTKA AJ, 1956, ELEMENTS MATH BIOL
[7]  
MAY R, 1975, SIAM J APPL MATH, V29, P245
[8]  
May RM, 1973, STABILITY COMPLEXITY
[9]  
MIKHAILOV AS, 1990, F SYNERGETICS, V1
[10]  
Shilnikov L. P., 1963, MAT SBORNIK, V61, P443