On the existence of a stable limit cycle to a piecewise linear system in R2

DOI10.1002/MMA.6151zbMath1458.34060OpenAlexW2999150354MaRDI QIDQ5120095

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Publication date: 9 September 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6151

zbMATH Keywords

limit cycleperiodic orbitpiecewise linear systemtranscendent equationperiod's estimation

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) 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)

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