Some Applications of the Extended Bendixson-Dulac Theorem

DOI10.1007/978-3-642-38830-9_14zbMath1300.34067arXiv1305.3402OpenAlexW2951685912MaRDI QIDQ2875502

Hector J. Giacomini, Armengol Gasull

Publication date: 8 August 2014

Published in: Progress and Challenges in Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.3402

zbMATH Keywords

unified approachnumber of limit cycles

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) 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)

Related Items (9)

Analysis of 3D cobweb economic differential dynamic system based on supply-demand and price relationships ⋮ Global algebraic Poincaré-Bendixson annulus for the van der Pol system ⋮ Probability of existence of limit cycles for a family of planar systems ⋮ Number of limit cycles for planar systems with invariant algebraic curves ⋮ Random and non-random mating populations: evolutionary dynamics in meiotic drive ⋮ Effectiveness of the Bendixson-Dulac theorem ⋮ Fixed and moving limit cycles for Liénard equations ⋮ Some open problems in low dimensional dynamical systems ⋮ A Bendixon–Dulac theorem for some piecewise systems

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