期刊
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
卷 228, 期 10, 页码 1995-2009出版社
SPRINGER HEIDELBERG
DOI: 10.1140/epjst/e2019-800238-0
关键词
-
资金
- National Natural Science Foundations of China [61671245, 51607013, 51777016, 61601062]
This paper presents a memristive hyper-jerk system with smooth hyperbolic tangent memductance nonlinearity. Such a smooth memductance nonlinearity can cause the system to possess a line equilibrium therein, leading to the emergence of extreme multistability with coexisting infinitely many attractors due to the existence of a zero eigenvalue. To illustrate the stability mechanism, the dimensionality reduction model of the memristive hyper-jerk system is obtained using state variable mapping (SVM) method and several isolated equilibria are yielded from the dimensionality reduction model. As a consequence, the initial-dependent extreme multistability in the memristive hyperjerk system is converted into the initial-related parameter-dependent dynamics in the dimensionality reduction model and the stability mechanism analysis is thereby executed. Furthermore, PSIM circuit simulations based on a physical circuit are performed to confirm the coexisting infinitely many attractors.
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