Limit sets within curves where trajectories converge to

DOI10.1016/j.aml.2017.01.005zbMath1418.37047OpenAlexW2572654610MaRDI QIDQ518479

Ming Cao, Pouria Ramazi, Hildeberto Jardón-Kojakhmetov

Publication date: 28 March 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.01.005

zbMATH Keywords

convergencelimit setPoincaré-Bendixson theorem

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) 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) Generic properties, structural stability of dynamical systems (37C20) Stability theory for smooth dynamical systems (37C75)

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• A remark on the flow near a compact invariant set
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