Poincaré Bifurcations Induced by a Nonregular Point on the Discontinuity Boundary in a Family of Planar Piecewise Linear Differential Systems

DOI10.1142/S0218127421500760zbMath1493.34123OpenAlexW3157817094MaRDI QIDQ4990659

Song-Mei Huan, Lei Wang, Tiantian Wu

Publication date: 31 May 2021

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

Full work available at URL: https://doi.org/10.1142/s0218127421500760

zbMATH Keywords

planar piecewise linear systemsnonregular pointPoincaré bifurcation of limit cyclessection map

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) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36)

Related Items (2)

Existence of four-crossing-points limit cycles in planar sector-wise linear systems with saddle-saddle dynamics ⋮ On the number of limit cycles in general planar piecewise linear differential systems with two zones having two real equilibria

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