Bifurcations from locally to globally riddled basins

被引:32
|
作者
Kapitaniak, T [1 ]
Maistrenko, Y
Stefanski, A
Brindley, J
机构
[1] Univ Maryland, Inst Plasma Res, College Pk, MD 20742 USA
[2] Lodz Tech Univ, Div Dynam, PL-90924 Lodz, Poland
[3] Ukrainian Acad Sci, Inst Math, UA-252601 Kiev, Ukraine
[4] Univ Leeds, Dept Appl Math Studies, Leeds LS2 9JT, W Yorkshire, England
来源
PHYSICAL REVIEW E | 1998年 / 57卷 / 06期
关键词
D O I
10.1103/PhysRevE.57.R6253
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 give sufficient conditions for the occurrence of locally and globally riddled basins in coupled systems. Two different types of bifurcations from locally to globally riddled basins are described.
引用
收藏
页码:R6253 / R6256
页数:4
相关论文
共 50 条
  • [31] Bifurcations in globally coupled chaotic maps
    Morita, S
    PHYSICS LETTERS A, 1996, 211 (05) : 258 - 264
  • [32] Bifurcations in Globally Coupled Map Lattices
    Just, W.
    Journal of Statistical Physics, 79 (1-2):
  • [33] A new chaotic system with nested coexisting multiple attractors and riddled basins
    Zhou, Ling
    You, Zhenzhen
    Tang, Yun
    CHAOS SOLITONS & FRACTALS, 2021, 148
  • [34] The characters of riddled basins in coupled chaotic synchronized maps with additive noises
    Tan, N
    Xu, JX
    Kang, YM
    Chen, YH
    ACTA PHYSICA SINICA, 2003, 52 (12) : 2989 - 2994
  • [35] Transverse instability and riddled basins in a system of two coupled logistic maps
    Maistrenko, Yu. L.
    Maistrenko, V.L.
    Popovich, A.
    Mosekilde, E.
    Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1998, 57 (3-A):
  • [36] Riddled basins and unstable dimension variability in chaotic systems with and without symmetry
    Viana, RL
    Grebogi, C
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (10): : 2689 - 2698
  • [37] BIFURCATIONS IN GLOBALLY COUPLED SHIFT MAPS
    JUST, W
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 1994, 49 (12): : 1233 - 1234
  • [38] Periodic orbit description of the blowout bifurcation and riddled basins of chaotic synchronization
    Czajkowski, B. M.
    Viana, R. L.
    CHAOS SOLITONS & FRACTALS, 2024, 184
  • [39] Publish Globally and Perish Locally Vs. Publish Locally and Perish Globally
    Hanafi, Sari
    REVUE DES MONDES MUSULMANS ET DE LA MEDITERRANEE, 2012, 131 : 23 - 44
  • [40] Chaos synchronization and riddled basins in two coupled one-dimensional maps
    Kapitaniak, T
    Maistrenko, YL
    CHAOS SOLITONS & FRACTALS, 1998, 9 (1-2) : 271 - 282