Alfven chaotic saddles\

被引：11
|
作者：
Rempel, EL
Chian, ACL
机构：
[1] INPE, BR-12227010 Sao Jose Dos Campos, SP, Brazil
[2] WISER, BR-12227010 Sao Jose Dos Campos, SP, Brazil
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2004年 / 14卷 / 11期
基金：
巴西圣保罗研究基金会;
关键词：
Alfven waves; chaotic saddles; global bifurcation; unstable periodic orbits;
D O I：
10.1142/S0218127404011673
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We examine the dynamical roles of nonattracting chaotic sets known as chaotic saddles in an Alfven wave system described by the driven-dissipative derivative nonlinear Schrodinger equation. These Alfven chaotic saddles have gaps which are filled at the onset of chaos via a saddle-node bifurcation and at a chaotic transition via an interior crisis. It is shown that after an interior crisis an Alfven chaotic attractor consists of two chaotic saddles connected by a set of coupling unstable periodic orbits.
引用
收藏
页码：4009 / 4017
页数：9
相关论文
共 50 条
  • [1] Chaos in driven Alfven systems: unstable periodic orbits and chaotic saddles
    Chian, A. C. -L.
    Santana, W. M.
    Rempel, E. L.
    Borotto, F. A.
    Hada, T.
    Kamide, Y.
    NONLINEAR PROCESSES IN GEOPHYSICS, 2007, 14 (01) : 17 - 29
  • [2] Blowout bifurcation of chaotic saddles
    Kapitaniak, T
    Lai, YC
    Grebogi, C
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 1999, 3 (01) : 9 - +
  • [3] HOW OFTEN ARE CHAOTIC SADDLES NONHYPERBOLIC
    LAI, YC
    GREBOGI, C
    YORKE, JA
    KAN, I
    NONLINEARITY, 1993, 6 (05) : 779 - 797
  • [4] Searching chaotic saddles in high dimensions
    Sala, M.
    Leitao, J. C.
    Altmann, E. G.
    CHAOS, 2016, 26 (12)
  • [5] Fractal dimensions of chaotic saddles of dynamical systems
    Hunt, Brian R.
    Ott, Edward
    Yorke, James A.
    Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1996, 54 (05):
  • [6] Chaotic Saddles in a Generalized Lorenz Model of Magnetoconvection
    Franco, Francis F.
    Rempel, Erico L.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2020, 30 (12):
  • [7] A PROCEDURE FOR FINDING NUMERICAL TRAJECTORIES ON CHAOTIC SADDLES
    NUSSE, HE
    YORKE, JA
    PHYSICA D, 1989, 36 (1-2): : 137 - 156
  • [8] Chaotic saddles at the onset of intermittent spatiotemporal chaos
    Rempel, Erico L.
    Chian, Abraham C. L.
    Miranda, Rodrigo A.
    PHYSICAL REVIEW E, 2007, 76 (05):
  • [9] Universal behavior in the parametric evolution of chaotic saddles
    Lai, Ying-Cheng
    Zyczkowski, Karol
    Grebogi, Celso
    Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1999, 59 (5 pt A):
  • [10] On the role of chaotic saddles in generating chaotic dynamics in nonlinear driven oscillators
    Tyrkiel, E
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2005, 15 (04): : 1215 - 1238
12345