Discontinuity Induced Hopf and Neimark–Sacker Bifurcations in a Memristive Murali–Lakshmanan–Chua Circuit

DOI10.1142/S021812741730021XzbMath1370.34080arXiv1704.01167OpenAlexW2606725884MaRDI QIDQ5357160

A. Ishaq Ahamed, Muthusamy Lakshmanan

Publication date: 14 September 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.01167

zbMATH Keywords

Hopf bifurcationsnonhyperbolicityswitching manifoldsNeimark-Sacker bifurcationsdiscontinuity induced bifurcationsmemristive MLC circuitClarke's generalized differential

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Analytic circuit theory (94C05) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

Input–Output Characterization of the Dynamical Properties of Circuits with a Memelement ⋮ Dynamics of a coupled Chua's circuit with lossless transmission line ⋮ Sliding Bifurcations in the Memristive Murali–Lakshmanan–Chua Circuit and the Memristive Driven Chua Oscillator ⋮ Associate Submersions and Qualitative Properties of Nonlinear Circuits with Implicit Characteristics ⋮ Prediction of period doubling bifurcations in harmonically forced memristor circuits

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