Limit Cycles in Discontinuous Planar Piecewise Linear Systems Separated by a Nonregular Line of Center–Center Type

DOI10.1142/S0218127421501364zbMath1479.34061OpenAlexW3185379420MaRDI QIDQ5008981

Jiang Yu, Cheng Wang, Qianqian Zhao

Publication date: 18 August 2021

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

Full work available at URL: https://doi.org/10.1142/s0218127421501364

zbMATH Keywords

limit cyclediscontinuous planar piecewise linear systemcenter-center typenonregular line

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 (4)

Limit Cycles in Discontinuous Piecewise Linear Planar Hamiltonian Systems Without Equilibrium Points ⋮ Existence of four-crossing-points limit cycles in planar sector-wise linear systems with saddle-saddle dynamics ⋮ Periodic trajectories in planar discontinuous piecewise linear systems with only centers and with a nonregular switching line ⋮ Impact limit cycles in the planar piecewise linear hybrid systems

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