Boundary effects in extended dynamical systems

被引:7
|
作者
Eguíluz, VM [1 ]
Hernández-García, E [1 ]
Piro, O [1 ]
机构
[1] Univ Illes Balears, CSIC, IMEDEA, E-07071 Palma de Mallorca, Spain
关键词
spatiotemporal chaos; pattern formation; boundary conditions; Kuramoto-Sivashinsky; Ginzburg-Landau;
D O I
10.1016/S0378-4371(00)00126-6
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In the framework of spatially extended dynamical systems, we present three examples in which the presence of walls leads to dynamic behavior qualitatively different from the one obtained in an infinite domain or under periodic boundary conditions. For a nonlinear reaction-diffusion model we obtain boundary-induced spatially chaotic configurations. Nontrivial average patterns arising from boundaries are shown to appear in spatiotemporally chaotic states of the Kuramoto-Sivashinsky model. Finally, walls organize novel states in simulations of the complex Ginzburg-Landau equation. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:48 / 51
页数:4
相关论文
共 50 条
  • [1] Boundary effects on localized structures in spatially extended systems
    Yadav, A.
    Browne, D. A.
    PHYSICA D-NONLINEAR PHENOMENA, 2006, 219 (02) : 142 - 151
  • [2] Complexity for extended dynamical systems
    Bonanno, Claudio
    Collet, Pierre
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2007, 275 (03) : 721 - 748
  • [3] Persistence in extended dynamical systems
    Ray, P
    PHASE TRANSITIONS, 2004, 77 (5-7) : 563 - 579
  • [4] Complexity for Extended Dynamical Systems
    Claudio Bonanno
    Pierre Collet
    Communications in Mathematical Physics, 2007, 275 : 721 - 748
  • [5] Parallel computing with extended dynamical systems
    Sinha, S
    Munakata, T
    Ditto, WL
    PHYSICAL REVIEW E, 2002, 65 (03):
  • [6] EXTENDED DYNAMICAL SYSTEMS AND STABILITY THEORY
    HALE, JK
    INFANTE, EF
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1967, 58 (02) : 405 - &
  • [7] The boundary quotient for algebraic dynamical systems
    Brownlowe, Nathan
    Stammeier, Nicolai
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 438 (02) : 772 - 789
  • [8] Fluid dynamical systems as Hamiltonian boundary control systems
    van der Schaft, AJ
    Maschke, BM
    PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 4497 - 4502
  • [9] Extended Differential Balancing for Nonlinear Dynamical Systems
    Sarkar, Arijit
    Scherpen, Jacquelien M. A.
    IEEE CONTROL SYSTEMS LETTERS, 2022, 6 : 3170 - 3175
  • [10] Control and synchronization of space extended dynamical systems
    Bragard, J
    Boccaletti, S
    Arecchi, FT
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (11): : 2715 - 2729