Hidden attractors and multistability in a modified Chua’s circuit

Published on Jan 1, 2021in Communications in Nonlinear Science and Numerical Simulation4.115
· DOI :10.1016/J.CNSNS.2020.105494
Ning Wang12
Estimated H-index: 12
(TJU: Tianjin University),
Guoshan Zhang13
Estimated H-index: 13
(TJU: Tianjin University)
+ 1 AuthorsHan Bao23
Estimated H-index: 23
(NUAA: Nanjing University of Aeronautics and Astronautics)
Sources
Abstract
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.
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