Existence and uniqueness of limit cycle in discontinuous planar differential systems

DOI10.1007/s12346-015-0141-4zbMath1345.34020OpenAlexW2048602301MaRDI QIDQ290291

Jitao Sun, Fangfang Jiang

Publication date: 1 June 2016

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-015-0141-4

zbMATH Keywords

stabilityexistenceuniquenessplanar systemsdiscontinuous systemsliding limit cycle

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36)

Related Items (5)

On the existence and uniqueness of a limit cycle for a Liénard system with a discontinuity line ⋮ Analysis of the Dynamics of Piecewise Linear Memristors ⋮ Qualitative analysis of crossing limit cycles in a class of discontinuous Liénard systems with symmetry ⋮ Crossing periodic orbits of nonsmooth Liénard systems and applications ⋮ Robust limit cycle control in a class of nonlinear discrete-time systems

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