A multiple focus-center-cycle bifurcation in 4D discontinuous piecewise linear memristor oscillators

DOI10.1007/s11071-018-4541-2zbMath1422.34134OpenAlexW2890864771MaRDI QIDQ2275005

Enrique Ponce, Javier Ros, A. Amador

Publication date: 2 October 2019

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-018-4541-2

zbMATH Keywords

bifurcationsperiodic orbitpiecewise linear systemsboundary equilibrium bifurcationextreme multistabilitymemristor oscillatorfocus-center-limit cycle bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36)

Related Items (4)

Hopf bifurcation at infinity in 3D symmetric piecewise linear systems. Application to a Bonhoeffer-van der Pol oscillator ⋮ Limit Cycles Induced by Threshold Nonlinearity in Planar Piecewise Linear Systems of Node-Focus or Node-Center Type ⋮ Prediction of period doubling bifurcations in harmonically forced memristor circuits ⋮ Hopf bifurcation at infinity in 3D relay systems

Cites Work

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• Computing accurate Poincaré maps
• The continuous matching of two stable linear systems can be unstable
• Hidden extreme multistability in memristive hyperchaotic system
• Memristor-based canonical Chua's circuit: extreme multistability in voltage-current domain and its controllability in flux-charge domain
• Unfolding the fold-Hopf bifurcation in piecewise linear continuous differential systems with symmetry
• The instantaneous local transition of a stable equilibrium to a chaotic attractor in piecewise-smooth systems of differential equations
• Piecewise-smooth dynamical systems. Theory and applications
• Discontinuity-induced bifurcations of equilibria in piecewise-smooth and impacting dynamical systems
• FOLLOWING A SADDLE-NODE OF PERIODIC ORBITS' BIFURCATION CURVE IN CHUA'S CIRCUIT
• NONHYPERBOLIC BOUNDARY EQUILIBRIUM BIFURCATIONS IN PLANAR FILIPPOV SYSTEMS: A CASE STUDY APPROACH
• Generating one to four-wing hidden attractors in a novel 4D no-equilibrium chaotic system with extreme multistability
• Coexisting multiple attractors and riddled basins of a memristive system
• The Focus-Center-Limit Cycle Bifurcation in Symmetric 3D Piecewise Linear Systems
• MEMRISTOR OSCILLATORS
• BISTABILITY AND HYSTERESIS IN SYMMETRIC 3D PIECEWISE LINEAR OSCILLATORS WITH THREE ZONES
• On simplifying and classifying piecewise-linear systems
• On Discontinuous Piecewise Linear Models for Memristor Oscillators
• BIFURCATION OF INVARIANT CONES IN PIECEWISE LINEAR HOMOGENEOUS SYSTEMS
• LIMIT CYCLE BIFURCATION IN 3D CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH TWO ZONES: APPLICATION TO CHUA'S CIRCUIT
• Global Phase Portraits of Memristor Oscillators

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