Behavior of trajectories in localizing sets

DOI10.1134/S1064562418030146zbMath1396.37025MaRDI QIDQ1673701

Alexander P. Krishchenko

Publication date: 13 September 2018

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

zbMATH Keywords

complex dynamicscompact invariant setlocalizing set

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) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Generic properties, structural stability of dynamical systems (37C20)

Related Items (4)

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

• Localization of simple and complex dynamics in nonlinear systems
• Localization of hidden Chua's attractors
• Localizing sets and trajectory behavior
• Localization of compact invariant sets of discrete-time systems with disturbances
• Construction of Lyapunov functions by the method of localization of invariant compact sets
• On the global dynamics of a chronic myelogenous leukemia model
• Investigation of asymptotic stability of equilibria by localization of the invariant compact sets
• Localization of invariant compact sets of dynamical systems
• ON THE GLOBAL DYNAMICS OF THE OWEN–SHERRATT MODEL DESCRIBING THE TUMOR–MACROPHAGE INTERACTIONS
• LOCALIZATION OF COMPACT INVARIANT SETS OF DISCRETE-TIME NONLINEAR SYSTEMS
• An example of a wild strange attractor
• Deterministic Nonperiodic Flow
• From Wang–Chen System with Only One Stable Equilibrium to a New Chaotic System Without Equilibrium

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