Driving-induced bistability in coupled chaotic attractors

被引：10

作者：

Agrawal, Manish ^{[1
]}

Prasad, Awadhesh ^{[2
]}

Ramaswamy, Ram ^{[3
]}

机构：

[1] Univ Delhi, Sri Aurobindo Coll, Dept Phys, New Delhi 110017, India

[2] Univ Delhi, Dept Phys & Astrophys, Delhi 110007, India

[3] Univ Hyderabad, Hyderabad 500046, Andhra Pradesh, India

来源：

PHYSICAL REVIEW E | 2013年 / 87卷 / 04期

关键词：

GENERALIZED SYNCHRONIZATION; PHASE SYNCHRONIZATION;

D O I：

10.1103/PhysRevE.87.042909

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 examine the effects of symmetry-preserving and -breaking interactions in a drive-response system where the response has an invariant symmetry in the absence of the drive. Subsequent to the onset of generalized synchronization, we find that there can be more than one stable attractor. Numerical as well as analytical results establish the presence of phase synchrony in such coexisting attractors. These results are robust to external noise.

引用

页数：5

共 24 条

[1] Generalized synchronization of chaos: The auxiliary system approach [J].

Abarbanel, HDI ;

Rulkov, NF ;

Sushchik, MM .

PHYSICAL REVIEW E, 1996, 53 (05) :4528-4535

[2]

[Anonymous], 1993, Theory and applications of coupled map lattices. Nonlinear science: theory and applications

[3]

[Anonymous], 1993, CHAOS DYNAMICAL SYST

[4] Yet another chaotic attractor [J].

Chen, GR ;

Ueta, T .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466

[5]

Ditto W, 2002, NATURE, V415, P736, DOI 10.1038/415736b

[6] STABILITY THEORY OF SYNCHRONIZED MOTION IN COUPLED-OSCILLATOR SYSTEMS [J].

FUJISAKA, H ;

YAMADA, T .

PROGRESS OF THEORETICAL PHYSICS, 1983, 69 (01) :32-47

[7] Bistable chaos without symmetry in generalized synchronization [J].

Guan, SG ;

Lai, CH ;

Wei, GW .

PHYSICAL REVIEW E, 2005, 71 (03)

[8] SYNCHRONOUS CHAOS IN COUPLED OSCILLATOR-SYSTEMS [J].

HEAGY, JF ;

CARROLL, TL ;

PECORA, LM .

PHYSICAL REVIEW E, 1994, 50 (03) :1874-1885

[9] Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems [J].

Kocarev, L ;

Parlitz, U .

PHYSICAL REVIEW LETTERS, 1996, 76 (11) :1816-1819

[10]

LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO

← 1 2 3 →