Poincaré Maps of “ <”-Shape Planar Piecewise Linear Dynamical Systems with a Saddle

DOI10.1142/S0218127419501657zbMath1435.34026MaRDI QIDQ4973578

Qianqian Zhao, Jiang Yu

Publication date: 28 November 2019

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

zbMATH Keywords

limit cyclesaddle``\(<\)-shapediscontinuous planar piecewise linear dynamical system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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

Existence of four-crossing-points limit cycles in planar sector-wise linear systems with saddle-saddle dynamics ⋮ On the number of limit cycles bifurcating from the linear center with an algebraic switching curve ⋮ Periodic trajectories in planar discontinuous piecewise linear systems with only centers and with a nonregular switching line ⋮ Limit Cycles in Discontinuous Planar Piecewise Linear Systems Separated by a Nonregular Line of Center–Center Type

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