Bifurcations Leading to Nonlinear Oscillations in a 3D Piecewise Linear Memristor Oscillator

DOI10.1142/S0218127414300018zbMath1284.34085MaRDI QIDQ5407280

Marcelo Messias, Marluce da Cruz Scarabello

Publication date: 7 April 2014

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

zbMATH Keywords

nonlinear oscillationhomoclinic bifurcationheteroclinic bifurcationdiscontinuous piecewise linear systemsmemristor oscillatorFilippov conventions

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) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (6)

Analysis of the Dynamics of Piecewise Linear Memristors ⋮ On the Existence of Limit Cycles and Relaxation Oscillations in a 3D van der Pol-like Memristor Oscillator ⋮ On Discontinuous Piecewise Linear Models for Memristor Oscillators ⋮ Input–Output Characterization of the Dynamical Properties of Circuits with a Memelement ⋮ Prediction of period doubling bifurcations in harmonically forced memristor circuits ⋮ New method to analyze the invariant manifolds of memristor circuits

Cites Work

• A chaotic circuit based on Hewlett-Packard memristor
• EXPLICIT ODE REDUCTION OF MEMRISTIVE SYSTEMS
• TOPOLOGICAL ANALYSIS OF CHAOTIC SOLUTION OF A THREE-ELEMENT MEMRISTIVE CIRCUIT
• HOPF BIFURCATION FROM LINES OF EQUILIBRIA WITHOUT PARAMETERS IN MEMRISTOR OSCILLATORS
• BIFURCATION SETS OF SYMMETRICAL CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH THREE ZONES

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