Journal
NONLINEAR DYNAMICS
Volume 81, Issue 1-2, Pages 215-226Publisher
SPRINGER
DOI: 10.1007/s11071-015-1983-7
Keywords
Generalized memristor-based Chua's circuit; Coexisting bifurcation mode; Hidden attractor; Self-excited attractor
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Funding
- National Natural Science Foundations of China [51277017]
- Natural Science Foundations of Jiangsu Province [BK20120583]
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A novel memristive chaotic circuit is presented, which is derived from the classical Chua's circuit by substituting Chua's diode with a first-order memristive diode bridge. The dynamical characteristics with the variations of circuit parameters are investigated both theoretically and numerically. The research results indicate that this circuit has three determined equilibrium points and displays complex nonlinear phenomena including coexisting bifurcation modes and coexisting attractors. Specifically, with another parameter setting, the memristive Chua's circuit can generate hidden attractors and coexisting hidden attractors in a narrow parameter region. The phenomena of self-excited attractors and hidden attractors are experimentally captured from a physical circuit, which verify the numerical simulations.
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