Algebraic approach to the classification of centers in trigonometric Cherkas systems

DOI10.1090/proc/14285zbMath1433.34045OpenAlexW2808721831WikidataQ129637216 ScholiaQ129637216MaRDI QIDQ5384812

Claudia Valls

Publication date: 26 June 2019

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

Full work available at URL: https://doi.org/10.1090/proc/14285

zbMATH Keywords

center problemtrigonometric polynomialalgebraic solutions to transcendental equationstrigonometric Cherkas equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34)

Cites Work

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• On the number of limit cycles for perturbed pendulum equations
• A simple solution of some composition conjectures for Abel equations
• On general algebraic mechanisms for producing centers in polynomial differential systems
• Limit cycles and chaos in equations of the pendulum type
• An algebraic approach to the classification of centers in polynomial Liénard systems
• The classification of reversible cubic systems with center
• The center-focus problem for a system with homogeneous nonlinearities in the case of zero eigenvalues of the linear part
• Center problem for trigonometric Liénard systems
• On the explicit solvability of certain transcendental equations
• An explicit bound of the number of vanishing double moments forcing composition
• Limit Cycles in the Josephson Equation
• Universal centres and composition conditions

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