Chaos Synchronization in Lorenz System

• 作者: Ayub Khan Prempal Singh
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: DYNAMICAL Systems CHAOS SYNCHRONIZATION LYAPUNOV Function Positive Definite POLYNOMIALS
• 年，卷（期）: yysxyw_2015,（11）
• 页码范围: 1864-1872
• 页数: 9页
• 分类号: O1

摘要

In this paper, we analyze chaotic dynamics of nonlinear systems and study chaos synchronization of Lorenz system. We extend our study by discussing other methods available in literature. We propose a theorem followed by a lemma in general and another one for a particular case of Lorenz system. Numerical simulations are given to verify the proposed theorems.