Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 28, Issue 8, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127418501055
Keywords
Coexisting pinched hysteresis loops; memristor; twin local activity domains; edge of chaos; unstable limit cycle; subcritical Hopf bifurcation
Funding
- National Natural Science Foundation of China [61473177, 61473178, 61573008]
- postgraduate science and technology innovation project [SDKDYC180231]
- Hong Kong Research Grants Council under the GRF Grant [CityU 11200317]
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This paper proposes a new type of memristor with two distinct stable pinched hysteresis loops and twin symmetrical local activity domains, named as a bistable bi-local active memristor. A detailed and comprehensive analysis of the memristor and its associated oscillator system is carried out to verify its dynamic behaviors based on nonlinear circuit theory and Hopf bifurcation theory. The local-activity domains and the edge-of-chaos domains of the memristor, which are both symmetric with respect to the origin, are confirmed by utilizing the mathematical cogent theory. Finally, the subcritical Hopf bifurcation phenomenon is identified in the subcritical Hopf bifurcation region of the memristor.
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