Global behaviour of the period function of the sum of two quasi-homogeneous vector fields

DOI10.1016/j.jmaa.2016.12.077zbMath1369.34046OpenAlexW2571461823MaRDI QIDQ509004

Armengol Gasull, Maria Jesus Alvarez, Rafel Prohens

Publication date: 8 February 2017

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

Full work available at URL: http://ddd.uab.cat/record/182499

zbMATH Keywords

planar polynomial vector fieldHamiltonian systemdegenerate critical pointperiod functioncritical periodcentre

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)

Related Items (4)

An example of chaotic dynamics for the motion of a charged particle in a magnetic field ⋮ Critical periods of the sum of two quasi-homogeneous Hamiltonian vector fields ⋮ An algorithm for providing the normal forms of spatial quasi-homogeneous polynomial differential systems ⋮ Some open problems in low dimensional dynamical systems

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