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Mathematical Problems in Engineering
Volume 2017, Article ID 6504969, 13 pages
Research Article

Coexisting Oscillation and Extreme Multistability for a Memcapacitor-Based Circuit

1Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, China
2Department of Automation, Shanghai University, Shanghai 200072, China

Correspondence should be addressed to Xiaowei Wang; moc.361@gnaw_324arual

Received 6 September 2016; Revised 7 November 2016; Accepted 6 December 2016; Published 23 January 2017

Academic Editor: Mingshu Peng

Copyright © 2017 Guangyi Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The coexisting oscillations are observed with a memcapacitor-based circuit that consists of two linear inductors, two linear resistors, and an active nonlinear charge-controlled memcapacitor. We analyze the dynamics of this circuit and find that it owns an infinite number of equilibrium points and coexisting attractors, which means extreme multistability arises. Furthermore, we also show the stability of the infinite many equilibria and analyze the coexistence of fix point, limit cycle, and chaotic attractor in detail. Finally, an experimental result of the proposed oscillator via an analog electronic circuit is given.