Neutrality Criteria for Stability Analysis of Dynamical Systems through Lorentz and Rossler Model Problems

作     者：Evgeniy Perevoznikov Olga Mikhailova 

作者机构：St.Petersburg State University of Trade and EconomicsPetersburgRussia 

出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)

年 卷 期：2015年第3卷第5期

页      面：569-576页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Nonlinear Dynamical Systems Stability Analysis Methods Dynamical Chaos Lorenz and Rossler Model Problems 

摘      要：Two methods of stability analysis of systems described by dynamical equations are being considered. They are based on an analysis of eigenvalues spectrum for the evolutionary matrix or the spectral equation and they allow determining the conditions of stability and instability, as well as the possibility of chaotic behavior of systems in case of a stability loss. The methods are illustrated for nonlinear Lorenz and Rossler model problems.