Multi-scroll hidden attractors and multi-wing hidden attractors in a 5-dimensional memristive system

• 来源期刊: 中国物理B（英文版）
• 关键词: multi-scroll hidden attractors multi-wing hidden attractors multiple lines equilibria no equilibrium
• 年，卷（期）: 2017,（11）
• 页码范围: 120-126
• 页数: 7页
• 语种: 英文
• DOI: 10.1088/1674-1056/26/11/110502

摘要

A novel 5-dimensional (5D) memristive chaotic system is proposed,in which multi-scroll hidden attractors and multiwing hidden attractors can be observed on different phase planes.The dynamical system has multiple lines of equilibria or no equilibrium when the system parameters are appropriately selected,and the multi-scroll hidden attractors and multi-wing hidden attractors have nothing to do with the system equilibria.Particularly,the numbers of multi-scroll hidden attractors and multi-wing hidden attractors are sensitive to the transient simulation time and the initial values.Dynamical properties of the system,such as phase plane,time series,frequency spectra,Lyapunov exponent,and Poincaré map,are studied in detail.In addition,a state feedback controller is designed to select multiple hidden attractors within a long enough simulation time.Finally,an electronic circuit is realized in Pspice,and the experimental results are in agreement with the numerical ones.