Limit Cycles of Piecewise-Continuous Differential Systems Formed by Linear and Quadratic Isochronous Centers II

DOI10.1142/S0218127422500912zbMath1504.34064OpenAlexW4281769841MaRDI QIDQ5083111

Tayeb Salhi, Jaume Llibre, Bilal Ghermoul

Publication date: 21 June 2022

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

Full work available at URL: https://doi.org/10.1142/s0218127422500912

zbMATH Keywords

limit cyclefirst integralcontinuous piecewise linear differential systemisochronous quadratic center

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)

Cites Work

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• Maximum number of limit cycles for certain piecewise linear dynamical systems
• Piecewise linear differential systems with only centers can create limit cycles?
• Piecewise-smooth dynamical systems. Theory and applications
• Mathematical problems
• Centennial History of Hilbert's 16th Problem
• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
• Limit Cycles of Continuous Piecewise Differential Systems Formed by Linear and Quadratic Isochronous Centers I

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