SPATIALLY PERIODIC-ORBITS IN COUPLED-MAP LATTICES

被引：47
|
作者：
GADE, PM
AMRITKAR, RE
机构：
[1] Department of Physics, University of Poona
来源：
PHYSICAL REVIEW E | 1993年 / 47卷 / 01期
关键词：
D O I：
10.1103/PhysRevE.47.143
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We obtain the conditions that ensure the stability of spatially and temporally periodic orbits of coupled-map lattices. The stability matrices can be put in a circulant and block circulant form. This allows us to reduce the problem to smaller matrices corresponding to the building blocks of spatial periodicity. We find that additional conditions are imposed as we expand the size of the lattice. For the traveling-wave solution the analysis is considerably simplified. We have analyzed both the one-dimensional and higher-dimensional lattices.
引用
收藏
页码：143 / 154
页数：12
相关论文
共 50 条
  • [1] STABILITY OF PERIODIC-ORBITS OF COUPLED-MAP LATTICES
    AMRITKAR, RE
    GADE, PM
    GANGAL, AD
    NANDKUMARAN, VM
    [J]. PHYSICAL REVIEW A, 1991, 44 (06): : R3407 - R3410
  • [2] PERIODIC-ORBITS AND LONG TRANSIENTS IN COUPLED MAP LATTICES
    LIVI, R
    MARTINEZMEKLER, G
    RUFFO, S
    [J]. PHYSICA D, 1990, 45 (1-3): : 452 - 460
  • [3] SPATIOTEMPORALLY PERIODIC STATES, PERIODIC WINDOWS, AND INTERMITTENCY IN COUPLED-MAP LATTICES
    QU, ZL
    HU, G
    [J]. PHYSICAL REVIEW E, 1994, 49 (02) : 1099 - 1108
  • [4] VELOCITY SELECTION IN COUPLED-MAP LATTICES
    PAREKH, N
    PURI, S
    [J]. PHYSICAL REVIEW E, 1993, 47 (02) : 1415 - 1418
  • [5] LONG PERIODIC-ORBITS OF THE TRIANGLE MAP
    SCAROWSKY, M
    BOYARSKY, A
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 97 (02) : 247 - 254
  • [6] THE EXISTENCE OF PERIODIC-ORBITS OF THE TENT MAP
    HEIDEL, J
    [J]. PHYSICS LETTERS A, 1990, 143 (4-5) : 195 - 201
  • [7] Stability of spatially periodic solutions in coupled map lattices
    Dubcová, M
    Klíc, A
    Pokorny, P
    Turzík, D
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (02): : 343 - 356
  • [8] PERIODIC-ORBITS IN THE DISSIPATIVE STANDARD MAP
    WENZEL, W
    BIHAM, O
    JAYAPRAKASH, C
    [J]. PHYSICAL REVIEW A, 1991, 43 (12): : 6550 - 6557
  • [9] Experimental observation of chimeras in coupled-map lattices
    Hagerstrom A.M.
    Murphy T.E.
    Roy R.
    Hövel P.
    Omelchenko I.
    Schöll E.
    [J]. Nature Physics, 2012, 8 (09) : 658 - 661
  • [10] Controlling spatiotemporal chaos in coupled map lattices to periodic orbits
    Zhu, KE
    Chen, TL
    Bian, GX
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2003, 40 (05) : 527 - 532
12345