Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 28, Issue 2, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127418500190
Keywords
Active diode pair based Chua's circuit; two stable node-foci; coexisting multiple attractors; multistability
Funding
- National Natural Science Foundations of China [51607013, 11602035, 61601062, 51777016]
- Natural Science Foundations of Jiangsu Province, China [BK20160282]
- Postgraduate Research & Practice Innovation Program of Jiangsu Province, China [KYCX17_2083]
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This paper focuses on the coexistence of multiple attractors in an active diode pair based Chua's circuit with smooth nonlinearity. With dimensionless equations, dynamical properties, including boundness of system orbits and stability distributions of two nonzero equilibrium points, are investigated, and complex coexisting behaviors of multiple kinds of disconnected attractors of stable point attractors, limit cycles and chaotic attractors are numerically revealed. The results show that unlike the classical Chua's circuit, the proposed circuit has two stable nonzero node-foci for the specified circuit parameters, thereby resulting in the emergence of multistability phenomenon. Based on two general impedance converters, the active diode pair based Chua's circuit with an adjustable inductor and an adjustable capacitor is made in hardware, from which coexisting multiple attractors are conveniently captured.
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