Melnikov analysis of a perturbed integrable non-Hamiltonian system

DOI10.1016/j.jmaa.2024.128095MaRDI QIDQ6198312

Peixing Yang, Jiang Yu

Publication date: 21 February 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

limit cyclesbifurcationsMelnikov functions

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) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Cites Work

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• Global bifurcation of limit cycles in a family of polynomial systems
• Limit cycles appearing from the perturbation of a system with a multiple line of critical points
• Limit cycles of cubic polynomial vector fields via the averaging theory
• The third order Melnikov function of a quadratic center under quadratic perturbations
• A relation between small amplitude and big limit cycles.
• Quadratic double centers and their perturbations
• The number of limit cycles from a cubic center by the Melnikov function of any order
• Limit cycles of a perturbed cubic polynomial differential center
• On the nonexistence, existence and uniqueness of limit cycles
• GLOBAL BIFURCATION OF LIMIT CYCLES IN A FAMILY OF MULTIPARAMETER SYSTEM
• On Second Order Bifurcations of Limit Cycles
• Successive derivatives of a first return map, application to the study of quadratic vector fields

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