On the isochronous center of planar piecewise polynomial potential systems

DOI10.1090/proc/15879zbMath1500.34017OpenAlexW4254754992MaRDI QIDQ3390657

Shaoqing Wang, Changjian Liu

Publication date: 25 March 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15879

zbMATH Keywords

isochronous centerpotential systempiecewise system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Discontinuous ordinary differential equations (34A36)

Cites Work

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• The period function of potential systems of polynomials with real zeros
• Periodic solutions of dry friction problems
• Nonexistence of isochronous centers in planar polynomial Hamiltonian systems of degree four
• Isochronicity for several classes of Hamiltonian systems
• New lower bound for the number of critical periods for planar polynomial systems
• Bifurcation of Critical Periods for Plane Vector Fields
• Isochronicity of plane polynomial Hamiltonian systems
• A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
• Inverse problems connected with periods of oscillations described by ẍ + g(x) = 0
• Isochronicity of a class of piecewise continuous oscillators

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