A stochastic model of synchronization for chaotic pendulums

被引：22

作者：

Baker, GL ^{[1
]}

Blackburn, JA

Smith, HJT

机构：

[1] Bryn Athyn Coll New Church, Div Math & Sci, Bryn Athyn, PA 19009 USA

[2] Wilfrid Laurier Univ, Dept Phys & Comp, Waterloo, ON N2L 3C5, Canada

[3] Univ Waterloo, Dept Phys, Waterloo, ON N2L 3G1, Canada

来源：

PHYSICS LETTERS A | 1999年 / 252卷 / 3-4期

关键词：

chaos; Markov process; theory; model;

D O I：

10.1016/S0375-9601(98)00891-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Uni-direcrionally coupled chaotic pendulums are studied with particular emphasis on the long term locking time distribution as a function of coupling strength. Numerical simulation data is analysed with a simple stochastic model that is also shown to satisfy a principle of maximum entropy, (C) 1999 Elsevier Science B.V.

引用

页码：191 / 197

页数：7

共 22 条

[1]

[Anonymous], 1996, CHAOTIC DYNAMICS

[2]

[Anonymous], PHYS REV A

[3] BUBBLING OF ATTRACTORS AND SYNCHRONIZATION OF CHAOTIC OSCILLATORS [J].

ASHWIN, P ;

BUESCU, J ;

STEWART, I .

PHYSICS LETTERS A, 1994, 193 (02) :126-139

[4] Inverting chaos: Extracting system parameters from experimental data [J].

Baker, GL ;

Gollub, JP ;

Blackburn, JA .

CHAOS, 1996, 6 (04) :528-533

[5] CONTROL OF THE CHAOTIC DRIVEN PENDULUM [J].

BAKER, GL .

AMERICAN JOURNAL OF PHYSICS, 1995, 63 (09) :832-838

[6] Intermittent synchronization in a pair of coupled chaotic pendula [J].

Baker, GL ;

Blackburn, JA ;

Smith, HJT .

PHYSICAL REVIEW LETTERS, 1998, 81 (03) :554-557

[7] Master-slave synchronization and the Lorenz equations [J].

Balmforth, N ;

Tresser, C ;

Worfolk, P ;

Wu, CW .

CHAOS, 1997, 7 (03) :392-394

[8] Synchronization of chaotic systems: Transverse stability of trajectories in invariant manifolds [J].

Brown, R ;

Rulkov, NF .

CHAOS, 1997, 7 (03) :395-413

[9] Control and synchronization of chaos in high dimensional systems: Review of some recent results [J].

Ding, MZ ;

Ding, EJ ;

Ditto, WL ;

Gluckman, B ;

In, V ;

Peng, JH ;

Spano, ML ;

Yang, WM .

CHAOS, 1997, 7 (04) :644-652

[10]

FELLER W, 1968, INTRO PROBABILITY TH, V1, P203

← 1 2 3 →