Hidden attractors and multistability in a modified Chua's circuit

N Wang, G Zhang, NV Kuznetsov, H Bao - Communications in Nonlinear …, 2021 - Elsevier
Communications in Nonlinear Science and Numerical Simulation, 2021Elsevier
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 …
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.
Elsevier
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