Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 92, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2020.105494
Keywords
Chua's diode; Chua's circuit; Chaos; Hidden attractor; Initial condition; Multistability; Attraction basin
Categories
Funding
- National Natural Science Foundation of China [61473202]
- Russian Science Foundation [19-41-02002, 202006250146]
- China Scholarship Council
- Russian Science Foundation [19-41-02002] Funding Source: Russian Science Foundation
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This paper investigates a modified Chua circuit and observes the coexistence of hidden attractors and coexisting attractors, exploring their attraction basins. The results demonstrate that hidden attractors have very small basins of attraction.
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. (C) 2020 Elsevier B.V. All rights reserved.
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