ON THE NUMBER OF LIMIT CYCLES FOR DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS IN ℝ2n WITH TWO ZONES

DOI10.1142/S0218127413500247zbMath1270.34044MaRDI QIDQ2845146

Jaume Llibre, Feng Rong

Publication date: 22 August 2013

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

zbMATH Keywords

limit cyclesaveraging methoddiscontinuous piecewise linear differential systems

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) Averaging method for ordinary differential equations (34C29) Discontinuous ordinary differential equations (34A36)

Related Items (3)

On the birth of limit cycles for non-smooth dynamical systems ⋮ Limit Cycles Induced by Threshold Nonlinearity in Planar Piecewise Linear Systems of Node-Focus or Node-Center Type ⋮ Existence of Chaotic Invariant Set in a Class of 4-Dimensional Piecewise Linear Dynamical Systems

Cites Work

• On the number of limit cycles in general planar piecewise linear systems
• On the limit cycles of a class of piecewise linear differential systems in \(\mathbb R^4\) with two zones
• Bifurcation of limit cycles from an \(n\)-dimensional linear center inside a class of piecewise linear differential systems
• On Hopf bifurcation in non-smooth planar systems
• Averaging methods for finding periodic orbits via Brouwer degree.
• Regularization of discontinuous vector fields in dimension three
• Planar systems of piecewise linear differential equations with a line of discontinuity
• The McKean's Caricature of the Fitzhugh--Nagumo Model I. The Space-Clamped System
• Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
• A periodically forced piecewise linear oscillator
• Robust Chaos

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