STABILITY OF PERIODIC-ORBITS OF COUPLED-MAP LATTICES

被引:32
作者
AMRITKAR, RE [1 ]
GADE, PM [1 ]
GANGAL, AD [1 ]
NANDKUMARAN, VM [1 ]
机构
[1] COCHIN UNIV SCI & TECHNOL, DEPT PHYS, COCHIN 682022, INDIA
来源
PHYSICAL REVIEW A | 1991年 / 44卷 / 06期
关键词
D O I
10.1103/PhysRevA.44.R3407
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We consider the stability properties of spatial and temporal periodic orbits of one-dimensional coupled-map lattices. The stability matrices for them are of the block-circulant form. This helps us to reduce the problem of stability of spatially periodic orbits to the smaller orbits corresponding to the building blocks of spatial periodicity, enabling us to obtain the conditions for stability in terms of those for smaller orbits.
引用
收藏
页码:R3407 / R3410
页数:4
相关论文
共 11 条
[1]   EXPLORING CHAOTIC MOTION THROUGH PERIODIC-ORBITS [J].
AUERBACH, D ;
CVITANOVIC, P ;
ECKMANN, JP ;
GUNARATNE, G ;
PROCACCIA, I .
PHYSICAL REVIEW LETTERS, 1987, 58 (23) :2387-2389
[2]  
Collet P., 1980, ITERATED MAPS INTERV
[3]  
CRUTCHFIELD JP, 1987, DIRECTIONS CHAOS, V2
[4]   INVARIANT MEASUREMENT OF STRANGE SETS IN TERMS OF CYCLES [J].
CVITANOVIC, P .
PHYSICAL REVIEW LETTERS, 1988, 61 (24) :2729-2732
[5]  
Davis PJ, 1979, CIRCULANT MATRICES
[7]   PATTERN DYNAMICS IN SPATIOTEMPORAL CHAOS - PATTERN SELECTION, DIFFUSION OF DEFECT AND PATTERN COMPETITION INTERMITTENCY [J].
KANEKO, K .
PHYSICA D, 1989, 34 (1-2) :1-41
[8]   PATTERN-FORMATION IN TWO-DIMENSIONAL ARRAYS OF COUPLED, DISCRETE-TIME OSCILLATORS [J].
KAPRAL, R .
PHYSICAL REVIEW A, 1985, 31 (06) :3868-3879
[9]   DISCRETE MODELS FOR THE FORMATION AND EVOLUTION OF SPATIAL STRUCTURE IN DISSIPATIVE SYSTEMS [J].
OPPO, GL ;
KAPRAL, R .
PHYSICAL REVIEW A, 1986, 33 (06) :4219-4231
[10]  
SHREENIVASAN KR, 1990, FRONTIERS FLUID MECH, V23, pL393