scientific article; zbMATH DE number 6921563

zbMath1406.37005MaRDI QIDQ4581914

Hossein Movasati, Marco Uribe

Publication date: 21 August 2018

Full work available at URL: https://impa.br/wp-content/uploads/2017/08/31CBM_06.pdf

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zbMATH Keywords

bifurcationlimit cycleHilbert's sixteenth problempolynomial and analytic vector fieldsAbelian and iterated integrals

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

Related Items (3)

The local period function for Hamiltonian systems with applications ⋮ Limit cycle enumeration in random vector fields ⋮ Center conditions: Pull-back of differential equations

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