THE TRAJECTORY SCALING FUNCTION FOR PERIOD DOUBLING BIFURCATIONS IN FLOWS

被引:1
|
作者
VIEIRA, MCD
GUNARATNE, GH
机构
[1] James Franck Institute, University of Chicago, Chicago, 60637, Illinois
关键词
Chaos; Duffing equation; flow; scaling function;
D O I
10.1007/BF01026575
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We extend the trajectory scaling function as defined for maps to flows whose dynamics is governed by ordinary differential equations. The results are obtained for the Duffing oscillator and are expected to be the same for other dissipative flows as well. © 1990 Plenum Publishing Corporation.
引用
收藏
页码:1245 / 1256
页数:12
相关论文
共 50 条
  • [41] Prediction of period doubling bifurcations in harmonically forced memristor circuits
    Innocenti, Giacomo
    Di Marco, Mauro
    Forti, Mauro
    Tesi, Alberto
    NONLINEAR DYNAMICS, 2019, 96 (02) : 1169 - 1190
  • [42] PERIOD-DOUBLING BIFURCATIONS IN STIMULATED RAMAN-SCATTERING
    NATH, A
    RAY, DS
    PHYSICAL REVIEW A, 1987, 35 (04): : 1959 - 1962
  • [43] A TYPICAL SCENARIO FOR THE TRANSITION TO CHAOS - THE CASCADE OF PERIOD DOUBLING BIFURCATIONS
    COULLET, P
    TRESSER, C
    JOURNAL DE MECANIQUE THEORIQUE ET APPLIQUEE, 1984, : 217 - 240
  • [44] ANOMALOUS PERIOD-DOUBLING BIFURCATIONS LEADING TO CHEMICAL TURBULENCE
    KURAMOTO, Y
    KOGA, S
    PHYSICS LETTERS A, 1982, 92 (01) : 1 - 4
  • [45] Period-doubling bifurcations of breathing solitons in dissipative systems
    Song, Lijun
    Wang, Hongyan
    Wu, Liang
    Li, Lu
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2011, 28 (01) : 86 - 88
  • [46] PERIOD-DOUBLING BIFURCATIONS IN DETUNED LASERS WITH INJECTED SIGNALS
    OTSUKA, K
    KAWAGUCHI, H
    PHYSICAL REVIEW A, 1984, 29 (05): : 2953 - 2956
  • [47] CHAOS AND PERIOD-DOUBLING BIFURCATIONS IN A SIMPLE ACOUSTIC SYSTEM
    KITANO, M
    YABUZAKI, T
    OGAWA, T
    PHYSICAL REVIEW LETTERS, 1983, 50 (10) : 713 - 716
  • [48] STABILIZATION OF PERIOD-DOUBLING BIFURCATIONS AND IMPLICATIONS FOR CONTROL OF CHAOS
    ABED, EH
    WANG, HO
    CHEN, RC
    PHYSICA D, 1994, 70 (1-2): : 154 - 164
  • [49] Prediction of period doubling bifurcations in harmonically forced memristor circuits
    Giacomo Innocenti
    Mauro Di Marco
    Mauro Forti
    Alberto Tesi
    Nonlinear Dynamics, 2019, 96 : 1169 - 1190
  • [50] BISTABILITY, PERIOD DOUBLING BIFURCATIONS AND CHAOS IN A PERIODICALLY FORCED OSCILLATOR
    PEREZ, R
    GLASS, L
    PHYSICS LETTERS A, 1982, 90 (09) : 441 - 443