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典型混沌系统的噪声诱导与增强同步
引用本文:邢丽芬,尚钢,刘杰.典型混沌系统的噪声诱导与增强同步[J].武汉科技学院学报,2010,23(1):18-23.
作者姓名:邢丽芬  尚钢  刘杰
作者单位:1. 武汉科技学院,非线性科学研究中心,湖北,武汉,430073
2. 武汉科技学院,理学院,湖北,武汉,430073
基金项目:the project of WUSE under grant,the Startup Found for NSFC in WUSE,the NSF of Hubei Province under grant,武汉科技学院校基金,国家级项目预研项目以及湖北省自然科学基金面上项目 
摘    要:研究了典型混沌系统在噪声影响下的完全同步问题,包括噪声诱导同步和噪声增强同步两种情形,并以新近提出的Liu混沌系统为例进行了讨论.进一步,本文还在一般的线性耦合框架下,针对混沌系统完全同步问题,详细讨论了噪声强度和耦合强度之间的关系.研究发现:噪声强度和耦合强度两因素对于实现混沌同步均起着积极的作用.数值仿真进一步证明了这一观点.

关 键 词:噪声诱导同步  噪声增强同步  完全同步  Liu混沌系统

Noise-induced and Noise-enhanced Synchronization of Typical Chaotic Systems
XING Li-fen,SHANG Gang,LIU Jie.Noise-induced and Noise-enhanced Synchronization of Typical Chaotic Systems[J].Journal of Wuhan Institute of Science and Technology,2010,23(1):18-23.
Authors:XING Li-fen  SHANG Gang  LIU Jie
Abstract:Complete synchronization phenomena between two chaotic systems under the influence of common distributed noise is investigated in this paper,including the case of noise-induced synchronization and the case of noise-enhanced synchronization.Explicit example of the newly proposed Liu chaotic system is presented for illustrations.Moreover,the relationship between the setting noise intensity and the given coupled strength against complete synchronization under traditional linear coupled scheme is also discussed in detail.Research shows that both the noise intensity and coupling strength play positive roles on chaos synchronization.The view is furtherly illustrated by numerical simulation experiments.
Keywords:noise-induced synchronization  noise-enhanced synchronization:complete synchronization  Liu chaotic system
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