Global Dynamics of Memristor Oscillator

DOI10.1142/S0218127416501984zbMath1352.34068MaRDI QIDQ2953756

Hebai Chen

Publication date: 6 January 2017

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

zbMATH Keywords

limit cyclefigure-eight loopmemristor oscillatorsingular continuum

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) Analytic circuit theory (94C05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (9)

Global dynamics of an asymmetry piecewise linear differential system: theory and applications ⋮ Global studies on a continuous planar piecewise linear differential system with three zones ⋮ Global dynamics of a degenerate planar piecewise linear differential system with three zones ⋮ Unnamed Item ⋮ A proof of Euzébio-Pazim-Ponce's conjectures for a degenerate planar piecewise linear differential system with three zones ⋮ At most two limit cycles in a piecewise linear differential system with three zones and asymmetry ⋮ Limit cycles in planar continuous piecewise linear systems ⋮ A degenerate planar piecewise linear differential system with three zones ⋮ Global Analysis of an Asymmetric Continuous Piecewise Linear Differential System with Three Linear Zones

Cites Work

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• Uniqueness and non-uniqueness of limit cycles for piecewise linear differential systems with three zones and no symmetry
• Limit cycles for planar piecewise linear differential systems via first integrals.
• Jump bifurcations in some degenerate planar piecewise linear differential systems with three zones
• Piecewise-smooth dynamical systems. Theory and applications
• On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry
• Qualitative theory of planar differential systems
• BIFURCATION SETS OF SYMMETRICAL CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH THREE ZONES
• Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
• Limit Cycle and Boundary Equilibrium Bifurcations in Continuous Planar Piecewise Linear Systems
• MEMRISTOR OSCILLATORS
• LIMIT CYCLE BIFURCATION FROM CENTER IN SYMMETRIC PIECEWISE-LINEAR SYSTEMS
• Global Phase Portraits of Memristor Oscillators

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