Local-Activity and Simultaneous Zero-Hopf Bifurcations Leading to Multistability in a Memristive Circuit

DOI10.1142/S0218127421300457zbMath1484.34118OpenAlexW4200498216MaRDI QIDQ5016855

Alisson de Carvalho Reinol, Marcelo Messias

Publication date: 13 December 2021

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

Full work available at URL: https://doi.org/10.1142/s0218127421300457

zbMATH Keywords

first integralperiodic oscillationmultistabilityzero-Hopf bifurcationinvariant algebraic surfacememristive circuitmemristive devicelocal-activity

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) Explicit solutions, first integrals of ordinary differential equations (34A05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45) Circuits in qualitative investigation and simulation of models (94C60)

Cites Work

• Control of multistability
• Unfolding the Threshold Switching Behavior of a Memristor
• MEMRISTOR HAMILTONIAN CIRCUITS
• A simple locally active memristor and its application in HR neurons
• HOPF BIFURCATION FROM LINES OF EQUILIBRIA WITHOUT PARAMETERS IN MEMRISTOR OSCILLATORS
• Coexisting multiple attractors and riddled basins of a memristive system
• Various Attractors, Coexisting Attractors and Antimonotonicity in a Simple Fourth-Order Memristive Twin-T Oscillator
• Nonlinear Dynamics of Memristor Oscillators
• Nonlinear Circuits and Systems with Memristors
• Averaging methods in nonlinear dynamical systems

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