ON THE INTEGRABILITY OF QUASIHOMOGENEOUS AND RELATED PLANAR VECTOR FIELDS
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Publication:4653826
DOI10.1142/S021812740300700XzbMath1077.34033MaRDI QIDQ4653826
Publication date: 8 March 2005
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Symmetries, invariants of ordinary differential equations (34C14) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamics induced by flows and semiflows (37C10)
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Classification and counting of planar quasi-homogeneous differential systems through their weight vectors ⋮ A method for obtaining first integrals and integrating factors of autonomous systems and application to Euler-Poisson equations ⋮ Singularity analysis in planar vector fields ⋮ Classification of global phase portrait of planar quintic quasi-homogeneous coprime polynomial systems ⋮ Centers of quasi-homogeneous polynomial differential equations of degree three ⋮ Bifurcation of limit cycles and center problem for \(p : q\) homogeneous weight systems ⋮ One-parameter Lie groups and inverse integrating factors of \(n\)-th order autonomous systems ⋮ Center of planar quintic quasi-homogeneous polynomial differential systems ⋮ On the integrability of quasihomogeneous systems and quasidegenerate infinity systems ⋮ Analytic nilpotent centers with analytic first integral ⋮ Planar semi-quasi homogeneous polynomial differential systems with a given degree ⋮ Global dynamics of planar quasi-homogeneous differential systems ⋮ Classification of global phase portraits of planar quartic quasi-homogeneous polynomial differential systems ⋮ Criteria on the existence of limit cycles in planar polynomial differential systems
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