BISTABILITY AND HYSTERESIS IN SYMMETRIC 3D PIECEWISE LINEAR OSCILLATORS WITH THREE ZONES

DOI10.1142/S0218127408022603zbMath1165.34345OpenAlexW2099904273MaRDI QIDQ5322596

Enrique Ponce, Javier Ros, Emilio Freire

Publication date: 21 July 2009

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

Full work available at URL: https://doi.org/10.1142/s0218127408022603

zbMATH Keywords

limit cyclesbifurcationpiecewise linear systemsbistability

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) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Bifurcations of singular points in dynamical systems (37G10) Discontinuous ordinary differential equations (34A36)

Related Items (6)

Fracture properties of graphite materials and analysis of crack growth under bending conditions ⋮ Theoretical analysis and photoelastic experiment on full-field stress from multi-concentrated forces on circumference ⋮ Periodic Orbit Bifurcations in Planar Hysteretic Systems without Equilibria ⋮ A multiple focus-center-cycle bifurcation in 4D discontinuous piecewise linear memristor oscillators ⋮ ON PERIODIC ORBITS OF 3D SYMMETRIC PIECEWISE LINEAR SYSTEMS WITH REAL TRIPLE EIGENVALUES ⋮ Hopf bifurcation at infinity in 3D relay systems

Uses Software

• Maple

Cites Work

• Unnamed Item
• Multistability, bistability and chaos control.
• A BIPARAMETRIC BIFURCATION IN 3D CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH TWO ZONES: APPLICATION TO CHUA'S CIRCUIT
• Designing non-linear single OP-AMP circuits: A cook-book approach
• The Focus-Center-Limit Cycle Bifurcation in Symmetric 3D Piecewise Linear Systems
• On simplifying and classifying piecewise-linear systems
• LIMIT CYCLE BIFURCATION FROM CENTER IN SYMMETRIC PIECEWISE-LINEAR SYSTEMS
• LIMIT CYCLE BIFURCATION IN 3D CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH TWO ZONES: APPLICATION TO CHUA'S CIRCUIT

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