Areas of attraction for nonautonomous differential equations on finite time intervals

DOI10.1016/j.jmaa.2011.12.051zbMath1239.34058OpenAlexW2087802293MaRDI QIDQ408247

Peter Giesl, Martin Rasmussen

Publication date: 29 March 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.12.051

zbMATH Keywords

domain of attractionattractivityfinite-time dynamicsnonautonomous differential equationBorg's criterion

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Nonautonomous smooth dynamical systems (37C60)

Related Items (12)

Finite-time attractivity for semilinear functional differential inclusions ⋮ Computation of Lyapunov functions for nonautonomous systems on finite time-intervals by linear programming ⋮ Determination of the area of exponential attraction in one-dimensional finite-time systems using meshless collocation ⋮ Review on contraction analysis and computation of contraction metrics ⋮ Finite-time attractivity of strong solutions for generalized nonlinear abstract Rayleigh-Stokes equations ⋮ Finite-time attractivity for diagonally dominant systems with off-diagonal delays ⋮ Finite-time attractivity for semilinear fractional differential equations ⋮ On areas of attraction and repulsion in finite time dynamical systems and their numerical approximation ⋮ Finite-time attractivity of solutions for a class of fractional differential inclusions with finite delay ⋮ Finite-time attractivity for semilinear tempered fractional wave equations ⋮ Finite-time stability analysis of a class of nonlinear time-varying systems: a numerical algorithm ⋮ Review on computational methods for Lyapunov functions

Cites Work

• Finite-time attractivity and bifurcation for nonautonomous differential equations
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• On the basin of attraction of limit cycles in periodic differential equations
• Attractivity and bifurcation for nonautonomous dynamical systems
• Nonautonomous finite-time dynamics
• Geometric theory of discrete nonautonomous dynamical systems
• Necessary conditions for a limit cycle and its basin of attraction.
• Linearization of hyperbolic finite-time processes
• A definition of spectrum for differential equations on finite time
• Borg's criterion for almost periodic differential equations
• Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
• More on finite-time hyperbolicity
• Lagrangian coherent structures in n-dimensional systems
• On Global Asymptotic Stability of Solutions of Differential Equations
• Finding finite-time invariant manifolds in two-dimensional velocity fields
• The basin of attraction of periodic orbits in nonsmooth differential equations
• Ordinary Differential Equations with Applications
• Dynamical Systems with a Certain Local Contraction Property.
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