Initial-condition-switched boosting extreme multistability and mechanism analysis in a memcapacitive oscillator  

作　　者：Bei CHEN Quan XU Mo CHEN Huagan WU Bocheng BAO 

机构地区：[1]School of Microelectronics and Control Engineering,Changzhou University,Changzhou,213164,China

出　　处：《Frontiers of Information Technology & Electronic Engineering》2021年第11期1517-1531,共15页信息与电子工程前沿（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 51777016 and 61801054);the Natural Science Foundation of Jiangsu Province,China (No. BK20191451);the Natural Science Foundation of Changzhou,Jiangsu Province,China (No. CJ20190037);the Open Research Fund of Key Laboratory of MEMS of Ministry of Education;Southeast University,China。

摘　　要：Extreme multistability has seized scientists’ attention due to its rich diversity of dynamical behaviors and great flexibility in engineering applications. In this paper, a four-dimensional(4D) memcapacitive oscillator is built using four linear circuit elements and one nonlinear charge-controlled memcapacitor with a cosine inverse memcapacitance. The 4D memcapacitive oscillator possesses a line equilibrium set, and its stability periodically evolves with the initial condition of the memcapacitor. The 4D memcapacitive oscillator exhibits initial-condition-switched boosting extreme multistability due to the periodically evolving stability. Complex dynamical behaviors of period doubling/halving bifurcations, chaos crisis, and initial-condition-switched coexisting attractors are revealed by bifurcation diagrams, Lyapunov exponents, and phase portraits. Thereafter, a reconstructed system is derived via integral transformation to reveal the forming mechanism of the initial-condition-switched boosting extreme multistability in the memcapacitive oscillator. Finally, an implementation circuit is designed for the reconstructed system, and Power SIMulation(PSIM) simulations are executed to confirm the validity of the numerical analysis.

关 键 词：Extreme multistability Initial-condition-switched boosting Memcapacitive oscillator Mechanism analysis 

分 类 号：TN752[电子电信—电路与系统]