NOISE-INDUCED SENSITIVITY TO THE INITIAL CONDITIONS IN STOCHASTIC DYNAMICAL-SYSTEMS

被引：8

作者：

VANDENBROECK, C ^{[1
]}

NICOLIS, G ^{[1
]}

机构：

[1] UNIV LIBRE BRUXELLES,B-1050 BRUSSELS,BELGIUM

来源：

PHYSICAL REVIEW E | 1993年 / 48卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.48.4845

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：

It is shown that the occurrence of a positive time-averaged Lyapunov exponent in a nonlinear system subject to noise, be it additive or multiplicative, does not necessarily imply deterministic chaos.

引用

页码：4845 / 4846

页数：2

共 50 条

[31] BIFURCATIONS IN STOCHASTIC DYNAMICAL-SYSTEMS WITH SIMPLE SINGULARITIES
JANECZKO, S
WAJNRYB, E
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1989, 31 (01) : 71 - 88
[32] OPTIMAL PARTITIONED FILTER OF STOCHASTIC DISTRIBUTED PARAMETER DYNAMICAL-SYSTEMS WITH UNKNOWN INITIAL STATE
WATANABE, K
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1983, 315 (5-6): : 347 - 385
[33] Noise-induced dynamical localization and delocalization
Tiwari, Vatsana
Bhakuni, Devendra Singh
Sharma, Auditya
PHYSICAL REVIEW B, 2022, 105 (16)
[34] VECTOR LYAPUNOV FUNCTIONS FOR STOCHASTIC DYNAMICAL-SYSTEMS
RASMUSSEN, RD
MICHEL, AN
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (02) : 250 - 254
[35] ON THE STABILITY IN THE QUADRATIC MEAN OF STOCHASTIC DYNAMICAL-SYSTEMS
BITSORIS, G
INTERNATIONAL JOURNAL OF CONTROL, 1985, 41 (04) : 1061 - 1075
[36] NONLINEAR STOCHASTIC DYNAMICAL-SYSTEMS IN PHYSICAL PROBLEMS
ADOMIAN, G
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 111 (01) : 105 - 113
[37] CONSERVED QUANTITIES AND SYMMETRY FOR STOCHASTIC DYNAMICAL-SYSTEMS
MISAWA, T
PHYSICS LETTERS A, 1994, 195 (3-4) : 185 - 189
[38] LYAPUNOV EXPONENTS AND SUPERSYMMETRY OF STOCHASTIC DYNAMICAL-SYSTEMS
GRAHAM, R
EUROPHYSICS LETTERS, 1988, 5 (02): : 101 - 106
[39] Noise-induced dynamical phase transitions in long-range systems
Chavanis, Pierre-Henri
Baldovin, Fulvio
Orlandini, Enzo
PHYSICAL REVIEW E, 2011, 83 (04):
[40] Stochastic resonance and noise-induced synchronization
Freund, JA
Neiman, AB
Schimansky-Geier, L
STOCHASTIC AND CHAOTIC DYNAMICS IN THE LAKES, 2000, 502 : 422 - 427

← 1 2 3 4 5 →