Spatiotemporal stability of one-way open coupled nonlinear systems

被引：7
|
作者：
Konishi, K [1 ]
Kokame, H [1 ]
Hirata, K [1 ]
机构：
[1] Univ Osaka Prefecture, Dept Elect & Elect Syst, Sakai, Osaka 5998531, Japan
来源：
PHYSICAL REVIEW E | 2000年 / 62卷 / 05期
关键词：
D O I：
10.1103/PhysRevE.62.6383
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：
The present paper investigates the spatiotemporal stability of homogeneous solutions in one-way open coupled nonlinear systems. We show that the H-proportional to norm concept, which has been used as an important index in the field of robust control theory, allows us to grasp the mechanism of spatial instability in coupled systems. Spatial instability occurs only when the H-proportional to norm of the transfer function of each site is greater than 1. It is shown that numerical simulations for one-way open coupled double scroll circuits are in gored agreement with our theoretical results.
引用
收藏
页码：6383 / 6387
页数：5
相关论文
共 50 条
  • [1] Spatiotemporal stability and control of one-way open coupled Lorenz systems
    Konishi, K
    [J]. PHYSICAL REVIEW E, 2002, 65 (03):
  • [2] Experimental evidence for spatiotemporal stability in one-way open coupled double-scroll circuits
    Konishi, K
    Kokame, H
    Hirata, K
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (10): : 1234 - 1237
  • [3] Experimental evidence for spatiotemporal stability and control of a one-way open CML
    Imai, T
    Konishi, K
    Kokame, H
    Hirata, K
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (12): : 2937 - 2944
  • [4] Stability of steady states in one-way open coupled map lattices
    Konishi, K
    Kokame, H
    Hirata, K
    [J]. PHYSICS LETTERS A, 1999, 263 (4-6) : 307 - 314
  • [5] COMPLEX SPATIOTEMPORAL BEHAVIOR IN A CHAIN OF ONE-WAY NONLINEARLY COUPLED ELEMENTS
    Gaididei, Yuri
    Berkemer, Rainer
    Gorria, Carlos
    Christiansen, Peter L.
    Kawamoto, Atsushi
    Shiga, Takahiro
    Sorensen, Mads P.
    Starke, Jens
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2011, 4 (05): : 1167 - 1179
  • [6] Generalized Synchronization in One-Way Coupled Systems with Delays
    Plotnikova A.D.
    Moskalenko O.I.
    [J]. Bulletin of the Russian Academy of Sciences: Physics, 2020, 84 (01) : 70 - 72
  • [7] Spatiotemporal quasiperiodicity transition to chaos in the one-way coupled bistability lattice system
    Yang, SP
    Tian, G
    Qu, JL
    Xu, SS
    [J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1999, 42 (02): : 213 - 219
  • [8] Spatiotemporal quasiperiodicity transition to chaos in the one-way coupled bistability lattice system
    Shiping Yang
    Gang Tian
    Jinlu Qu
    Shushan Xu
    [J]. Science in China Series A: Mathematics, 1999, 42 : 213 - 219
  • [9] Spatiotemporal quasiperiodicity transition to chaos in the one-way coupled bistability lattice system
    杨世平
    田钢
    屈进禄
    徐树山
    [J]. ScienceinChina,Ser.A., 1999, Ser.A.1999 (02) - 219
  • [10] Spatiotemporal quasiperiodicity transition to chaos in the one-way coupled bistability lattice system
    杨世平
    田钢
    屈进禄
    徐树山
    [J]. Science China Mathematics, 1999, (02) : 213 - 219
12345