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

DOI10.1142/S0218127422500031zbMath1497.34056OpenAlexW4207025883MaRDI QIDQ5064566

Tayeb Salhi, Bilal Ghermoul, Jaume Llibre

Publication date: 16 March 2022

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

Full work available at URL: https://doi.org/10.1142/s0218127422500031

zbMATH Keywords

limit cyclesfirst integralscontinuous piecewise linear differential systemsisochronous quadratic centers

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) Explicit solutions, first integrals of ordinary differential equations (34A05) 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

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

Cites Work

• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item