A1 Journal article (refereed)
Hidden attractors and multistability in a modified Chua’s circuit (2021)

Wang, N., Zhang, G., Kuznetsov, N., & Bao, H. (2021). Hidden attractors and multistability in a modified Chua’s circuit. Communications in Nonlinear Science and Numerical Simulation, 92, Article 105494. https://doi.org/10.1016/j.cnsns.2020.105494

JYU authors or editors

Publication details

All authors or editors: Wang, Ning; Zhang, Guoshan; Kuznetsov, Nikolay; Bao, Han

Journal or series: Communications in Nonlinear Science and Numerical Simulation

ISSN: 1007-5704

eISSN: 1878-7274

Publication year: 2021

Volume: 92

Article number: 105494

Publisher: Elsevier BV

Publication country: Netherlands

Publication language: English

DOI: https://doi.org/10.1016/j.cnsns.2020.105494

Publication open access: Not open

Publication channel open access:

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/71572


The first hidden chaotic attractor was discovered in a dimensionless piecewise-linear Chua’s system with a special Chua’s diode. But designing such physical Chua’s circuit is a challenging task due to the distinct slopes of Chua’s diode. In this paper, a modified Chua’s circuit is implemented using a 5-segment piecewise-linear Chua’s diode. In particular, the coexisting phenomena of hidden attractors and three point attractors are noticed in the entire period-doubling bifurcation route. Attraction basins of different coexisting attractors are explored. It is demonstrated that the hidden attractors have very small basins of attraction not being connected with any fixed point. The PSIM circuit simulations and DSP-assisted experiments are presented to illustrate the existence of hidden attractors and coexisting attractors.

Keywords: electronic circuits; mathematical models; dynamical systems; attractors; chaos theory

Free keywords: Chua’s diode; Chua’s circuit; chaos; hidden attractor; initial condition; multistability; attraction basin

Contributing organizations

Ministry reporting: Yes

Reporting Year: 2021

JUFO rating: 1

Last updated on 2022-20-09 at 15:53