A criterion for the onset of chaos in weakly dissipative periodically driven systems

被引：0
|
作者：
Soskin, SM [1 ]
Mannella, R [1 ]
Neiman, AB [1 ]
Silchenko, AN [1 ]
Luchinsky, DG [1 ]
McClintock, PVE [1 ]
机构：
[1] Ukrainian Acad Sci, Inst Semicond Phys, Kiev, Ukraine
来源：
STOCHASTIC AND CHAOTIC DYNAMICS IN THE LAKES | 2000年 / 502卷
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We generalize Chirikov's resonance-overlap criterion for the onset of global chaos in Hamiltonian systems to describe the onset of chaotic attractors in weakly dissipative systems.
引用
收藏
页码：443 / 449
页数：7
相关论文
共 50 条
  • [11] HIGH-DIMENSIONAL CHAOS IN DISSIPATIVE AND DRIVEN DYNAMICAL SYSTEMS
    Musielak, Z. E.
    Musielak, D. E.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2009, 19 (09): : 2823 - 2869
  • [12] General results on chaos suppression for biharmonically driven dissipative systems
    Chacón, R
    PHYSICS LETTERS A, 1999, 257 (5-6) : 293 - 300
  • [13] AN ALGEBRAIC CRITERION FOR THE ONSET OF CHAOS IN NONLINEAR DYNAMICAL-SYSTEMS
    UNAL, A
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1989, 13 (07) : 753 - 765
  • [14] Onset of chaos in the weakly dissipative two-dimensional complex Ginzburg-Landau equation
    Zaks, MA
    Nepomnyashchy, AA
    Malomed, BA
    PHYSICA SCRIPTA, 1996, T67 : 143 - 147
  • [15] Universality and scaling for the breakup of phase synchronization at the onset of chaos in a periodically driven Rossler oscillator
    Kuznetsov, SP
    Sataev, IR
    PHYSICAL REVIEW E, 2001, 64 (04): : 7
  • [16] Non-Floquet engineering in periodically driven dissipative open quantum systems
    Wang, Huan-Yu
    Zhao, Xiao-Ming
    Zhuang, Lin
    Liu, Wu-Ming
    JOURNAL OF PHYSICS-CONDENSED MATTER, 2022, 34 (36)
  • [17] General description for nonequilibrium steady states in periodically driven dissipative quantum systems
    Ikeda, Tatsuhiko N.
    Sato, Masahiro
    SCIENCE ADVANCES, 2020, 6 (27):
  • [18] Identification of minimal parameters for optimal suppression of chaos in dissipative driven systems
    Pedro J. Martínez
    Stefano Euzzor
    Jason A. C. Gallas
    Riccardo Meucci
    Ricardo Chacón
    Scientific Reports, 7
  • [19] Identification of minimal parameters for optimal suppression of chaos in dissipative driven systems
    Martinez, Pedro J.
    Euzzor, Stefano
    Gallas, Jason A. C.
    Meucci, Riccardo
    Chacon, Ricardo
    SCIENTIFIC REPORTS, 2017, 7
  • [20] Characterization of Faraday patterns and spatiotemporal chaos in parametrically driven dissipative systems
    Reyes, L. I.
    Perez, L. M.
    Pedraja-Rejas, L.
    Diaz, P.
    Mendoza, J.
    Bragard, J.
    Clerc, M. G.
    Laroze, D.
    CHAOS SOLITONS & FRACTALS, 2024, 186
12345