Initial State Dependent Nonsmooth Bifurcations in a Fractional-Order Memristive Circuit

DOI10.1142/S0218127418500918zbMath1395.34059OpenAlexW2883698508WikidataQ129501741 ScholiaQ129501741MaRDI QIDQ3176346

Yajuan Yu, Zaihua Wang

Publication date: 20 July 2018

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

Full work available at URL: https://doi.org/10.1142/s0218127418500918

zbMATH Keywords

stabilityChua's circuitnonsmooth systemtangent bifurcationfractional-order memristor

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) Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60) Fractional ordinary differential equations (34A08)

Related Items (4)

A simple fractional-order chaotic system based on memristor and memcapacitor and its synchronization application ⋮ A new fractional-order hyperchaotic memristor oscillator: dynamic analysis, robust adaptive synchronization, and its application to voice encryption ⋮ A Phasor Analysis Method for Charge-Controlled Memory Elements ⋮ Non-Smooth Bifurcation in Two Fractional-Order Memristive Circuits

Cites Work

• Suppressing chaos in a simplest autonomous memristor-based circuit of fractional order by periodic impulses
• Hidden extreme multistability in memristive hyperchaotic system
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Bifurcation phenomena in non-smooth dynamical systems
• Global dynamics of a vibro-impacting linear oscillator
• Modeling and Analysis of a Fractional-Order Generalized Memristor-Based Chaotic System and Circuit Implementation
• Neural Synaptic Weighting With a Pulse-Based Memristor Circuit
• Analysis of fractional differential equations
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