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
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.
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
VIRTA submission year: 2021
JUFO rating: 1
