Analytical expression for zero Lyapunov exponent of chaotic noised oscillators

被引：6
|
作者：
Hramov, Alexander E. [1 ,2 ]
Koronovskii, Alexey A. [1 ,2 ]
Kurovskaya, Maria K. [1 ]
Moskalenko, Olga I. [1 ,2 ]
机构：
[1] Saratov NG Chernyshevskii State Univ, Saratov 410012, Russia
[2] Saratov State Tech Univ, Saratov 410056, Russia
来源：
CHAOS SOLITONS & FRACTALS | 2015年 / 78卷
基金：
俄罗斯科学基金会;
关键词：
Lyapunov exponent; Chaotic oscillators; Noise; Synchronization; PHASE SYNCHRONIZATION; GENERALIZED SYNCHRONIZATION; SYNCHRONOUS BEHAVIOR; FRACTAL DIMENSION; INTERMITTENCY; UNIVERSALITY; ENTRAINMENT; TRANSITION; ENTROPY; SYSTEMS;
D O I：
10.1016/j.chaos.2015.07.016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to the analytical formula for zero Lyapunov exponent describing the dynamics of interacting chaotic systems with noise. The deduced analytical prediction is in a good agreement with the value of zero Lyapunov exponent obtained numerically for two unidirectionally coupled Rossler oscillators. We have shown that this good agreement is observed for a wide diapason of the values of the control parameters. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：118 / 123
页数：6
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