一个新的三维类Lorenz系统的动力学分析及仿真
Dynamics analysis of a new three-dimensional Lorenzlike system
云南民族大学学报:自然科学版,2015,24(4):310-314

张旻 ZM

摘要


研究了一个新的三维自治类Lorenz系统,利用非线性动力学的相关理论分析了系统平衡点的稳定性以及Hopf分支,得到了系统发生Hopf 分支时参数应满足的临界条件.通过数值仿真,分析了在多组参数下系统的各类动力学行为,进一步验证了理论推导的正确性. A three-dimensional continuous autonomous chaotic system is presented,which is similar to the Lorenz system.The non-linear dynamical method is used to study the dynamical behaviors of the Lorenz-like system,and some basic dynamical properties of the system are studied by means of theoretical analysis,numerical simulation, Lyapunov exponent, bifurcation diagrams,phase diagram,Poincare mapping;the complex dynamical behaviors of the chaotic system are analyzed with different system parameters,and the results show that the chaotic system has abundant dynamical behaviors.

参考



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