Pseudo-abelian integrals on slow-fast Darboux systems
Copyright policy )Pseudo-abelian integrals on slow-fast Darboux systems
We study pseudo-abelian integrals associated with polynomial deformations of slow-fast Darboux integrable systems. Under some assumptions we prove local boundedness of the number of their zeros.
Bifurcation theory for ordinary differential equations, Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.), limit cycles, pseudo-abelian; slow-fast; Darboux system, Darboux integrability, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations, abelian integrals, Dynamical Systems (math.DS), slow-fast systems, pseudo-abelian integrals, FOS: Mathematics, Mathematics - Dynamical Systems, 34C07, 34C08, bifurcations
Bifurcation theory for ordinary differential equations, Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.), limit cycles, pseudo-abelian; slow-fast; Darboux system, Darboux integrability, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations, abelian integrals, Dynamical Systems (math.DS), slow-fast systems, pseudo-abelian integrals, FOS: Mathematics, Mathematics - Dynamical Systems, 34C07, 34C08, bifurcations
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).11 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!