一个新类Lorenz混沌系统的动力学分析及电路仿真(英文)

Nonlinear dynamics and circuit implementation of a new Lorenz-like attractor

提出了一个新的三维自治类Lorenz系统,理论分析了该系统的非线性动力学特性.分析了系统在平衡点处的稳定性,以及产生Hopf分岔的条件.最后对该系统的一个混沌吸引子进行了数值仿真和实际电路模拟.

In this paper, a new three dimensional Lorenz-like chaotic system is reported. Nonlinear characteristic and basic dynamic properties of the three-dimensional autonomous system are studied by means of nonlinear dynamics theory, including the stability and the conditions for generating Hopf bifurcation of the equilibri- a. The chaotic system is not only demonstrated by numerical simulation but also verified with the electronic circuit.