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 editorsWang, Ning; Zhang, Guoshan; Kuznetsov, Nikolay; Bao, Han

Journal or seriesCommunications in Nonlinear Science and Numerical Simulation

ISSN1007-5704

eISSN1878-7274

Publication year2021

Volume92

Article number105494

PublisherElsevier BV

Publication countryNetherlands

Publication languageEnglish

DOIhttps://doi.org/10.1016/j.cnsns.2020.105494

Publication open accessNot open

Publication channel open access

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


Abstract

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.


Keywordselectronic circuitsmathematical modelsdynamical systemsattractorschaos theory

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


Contributing organizations


Ministry reportingYes

Reporting Year2021

JUFO rating1


Last updated on 2024-26-03 at 09:19