The Focus-Center-Limit Cycle Bifurcation in Discontinuous Planar Piecewise Linear Systems Without Sliding

DOI10.1007/978-3-642-38830-9_21zbMath1323.34054OpenAlexW984189479MaRDI QIDQ2875510

Javier Ros, Enrique Ponce, Elísabet Vela

Publication date: 8 August 2014

Published in: Progress and Challenges in Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-38830-9_21

zbMATH Keywords

canonical formpiecewise linear systemreturn mapWien Bridge oscillator

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36)

Related Items (6)

The boundary focus-saddle bifurcation in planar piecewise linear systems. application to the analysis of memristor oscillators ⋮ Bifurcations from a center at infinity in 3D piecewise linear systems with two zones ⋮ Uniqueness and non-uniqueness of limit cycles for piecewise linear differential systems with three zones and no symmetry ⋮ Two limit cycles in Liénard piecewise linear differential systems ⋮ Limit Cycle and Boundary Equilibrium Bifurcations in Continuous Planar Piecewise Linear Systems ⋮ Planar Filippov Systems with Maximal Crossing Set and Piecewise Linear Focus Dynamics

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