Localizing sets and trajectory behavior

DOI10.1134/S1064562416050070zbMath1362.37049OpenAlexW2551214147MaRDI QIDQ512493

A. N. Kanatnikov, Alexander P. Krishchenko

Publication date: 27 February 2017

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562416050070

zbMATH Keywords

nonlinear systems\(\omega\)-limit setscompact invariant sets

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamics induced by flows and semiflows (37C10) Generic properties, structural stability of dynamical systems (37C20)

Related Items (7)

Localization of invariant compacts in multidimensional systems with phase control ⋮ Behavior of trajectories in localizing sets ⋮ Convergence dynamics in one eco-epidemiological model: self-healing and some related results ⋮ Behavior of trajectories of systems with nonnegative variables ⋮ Behavior of trajectories of time-invariant systems ⋮ Localizing sets and behavior of trajectories of time-varying systems ⋮ Behavior of trajectories of the Levinson-Smith equation

Cites Work

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• Localization of simple and complex dynamics in nonlinear systems
• Localization of invariant compact sets of discrete systems
• Localization of invariant compact sets of nonautonomous systems
• Localization of invariant compact sets of dynamical systems
• Unbounded dynamics and compact invariant sets of one Hamiltonian system defined by the minimally coupled field
• ON THE GLOBAL DYNAMICS OF THE OWEN–SHERRATT MODEL DESCRIBING THE TUMOR–MACROPHAGE INTERACTIONS
• An example of a wild strange attractor

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