【摘要】 研究三阶微分方程模型的混沌性判据.研究方法主要采用待定系数法,讨论了三阶微分方程模型的同宿轨、异宿轨的存在性,以及对于不同参数其存在不同意义下的混沌吸引子.在理论分析过程中,结合什尔尼科夫引理验证其有斯梅尔马蹄映射意义下的混沌.更多还原

【Abstract】 Numerical analysis for nonlinear chaotic Lorenz-type System is considered which exhibits different chaotic attractors with different eqilibrias for some parameters. The existence of heteroclinic orbits and homoclinic orbits of Sil’nikov type in a chaotic system is proved by using the undetermined coefficient method. As a result,the Sil’nikov criterion guarantees that the system has Smale horseshoes.更多还原