Bao B C, Li Q D, Wang N, Xu Q
School of Information Science and Engineering, Changzhou University, Changzhou 213164, China.
Research Center of Analysis and Control for Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China.
Chaos. 2016 Apr;26(4):043111. doi: 10.1063/1.4946813.
Only using one-stage op-amp based negative impedance converter realization, a simplified Chua's diode with positive outer segment slope is introduced, based on which an improved Chua's circuit realization with more simpler circuit structure is designed. The improved Chua's circuit has identical mathematical model but completely different nonlinearity to the classical Chua's circuit, from which multiple attractors including coexisting point attractors, limit cycle, double-scroll chaotic attractor, or coexisting chaotic spiral attractors are numerically simulated and experimentally captured. Furthermore, with dimensionless Chua's equations, the dynamical properties of the Chua's system are studied including equilibrium and stability, phase portrait, bifurcation diagram, Lyapunov exponent spectrum, and attraction basin. The results indicate that the system has two symmetric stable nonzero node-foci in global adjusting parameter regions and exhibits the unusual and striking dynamical behavior of multiple attractors with multistability.
仅使用基于单级运算放大器的负阻抗变换器实现方式,引入了一种具有正外部段斜率的简化蔡氏二极管,并在此基础上设计了一种电路结构更为简单的改进型蔡氏电路实现方式。该改进型蔡氏电路具有与经典蔡氏电路相同的数学模型,但非线性特性完全不同,从中数值模拟并实验捕获了包括共存点吸引子、极限环、双涡卷混沌吸引子或共存混沌螺旋吸引子在内的多个吸引子。此外,利用无量纲蔡氏方程,研究了蔡氏系统的动力学特性,包括平衡点与稳定性、相图、分岔图、李雅普诺夫指数谱和吸引域。结果表明,该系统在全局调节参数区域具有两个对称稳定的非零节点焦点,并表现出具有多稳定性的多个吸引子的异常且显著的动力学行为。