Limit Cycles for Piecewise Linear Differential Systems via Poincaré–Miranda Theorem

DOI10.1007/978-3-030-25261-8_8zbMath1450.34023OpenAlexW2971563530MaRDI QIDQ5115106

Víctor Mañosa, Armengol Gasull

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-25261-8_8

zbMATH Keywords

piecewise linear systemnumber of limit cycles

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) Applications of operator theory to differential and integral equations (47N20) Discontinuous ordinary differential equations (34A36)

Cites Work

• On the number of limit cycles in general planar piecewise linear systems
• The discontinuous matching of two planar linear foci can have three nested crossing limit cycles
• Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem
• The Poincare-Miranda Theorem
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