BIFURCATION-ANALYSIS OF 2 COUPLED PERIODICALLY DRIVEN DUFFING OSCILLATORS

被引:82
作者
KOZLOWSKI, J [1 ]
PARLITZ, U [1 ]
LAUTERBORN, W [1 ]
机构
[1] TH DARMSTADT, INST ANGEW PHYS, D-64289 DARMSTADT, GERMANY
来源
PHYSICAL REVIEW E | 1995年 / 51卷 / 03期
关键词
D O I
10.1103/PhysRevE.51.1861
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
Bifurcation diagrams and phase diagrams of two coupled periodically driven identical Duffing oscillators are presented. It is shown that the global pattern of bifurcation curves in parameter space consists of repeated subpatterns similar to the superstructure observed for single, periodically driven, strictly dissipative oscillators The subpattern itself, however, is different from that of a single Duffing oscillator due, in particular, to Hopf bifurcations that are newly added to the bifurcation scenario. © 1995 The American Physical Society.
引用
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页码:1861 / 1867
页数:7
相关论文
共 29 条
[1]   THE DYNAMICS OF N-WEAKLY COUPLED IDENTICAL OSCILLATORS [J].
ASHWIN, P ;
SWIFT, JW .
JOURNAL OF NONLINEAR SCIENCE, 1992, 2 (01) :69-108
[2]   SYMMETRICAL CHAOS IN SYSTEMS OF 3 AND 4 FORCED OSCILLATORS [J].
ASHWIN, P .
NONLINEARITY, 1990, 3 (03) :603-617
[3]   INTERSECTING RESONANCES AND CHAOS IN A 3-OSCILLATOR MODEL .1. CLASSICAL-STUDIES [J].
ATKINS, KM ;
LOGAN, DE .
JOURNAL OF CHEMICAL PHYSICS, 1992, 97 (04) :2438-2450
[4]  
BAESENS C, 1991, PHYSICA D, V49, P337
[6]   A SOLVABLE MODEL OF COUPLED LIMIT-CYCLE OSCILLATORS EXHIBITING PARTIAL PERFECT SYNCHRONY AND NOVEL FREQUENCY-SPECTRA [J].
DAIDO, H .
PHYSICA D, 1993, 69 (3-4) :394-403
[7]   QUASI-ENTRAINMENT AND SLOW RELAXATION IN A POPULATION OF OSCILLATORS WITH RANDOM AND FRUSTRATED INTERACTIONS [J].
DAIDO, H .
PHYSICAL REVIEW LETTERS, 1992, 68 (07) :1073-1076
[8]   RUELLES ROTATION FREQUENCY FOR A SYMPLECTIC CHAIN OF DISSIPATIVE OSCILLATORS [J].
DRESSLER, U ;
LAUTERBORN, W .
PHYSICAL REVIEW A, 1990, 41 (12) :6702-6715
[9]   SYMMETRY PROPERTY OF THE LYAPUNOV SPECTRA OF A CLASS OF DISSIPATIVE DYNAMICAL-SYSTEMS WITH VISCOUS DAMPING [J].
DRESSLER, U .
PHYSICAL REVIEW A, 1988, 38 (04) :2103-2109
[10]  
EILENBERGER G, 1993, J PHYS A, V25, P6335