Determination of the area of exponential attraction in one-dimensional finite-time systems using meshless collocation

DOI10.3934/dcdsb.2018094zbMath1409.37035OpenAlexW2770543605WikidataQ128225414 ScholiaQ128225414MaRDI QIDQ1671119

Peter Giesl, James McMichen

Publication date: 6 September 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018094

zbMATH Keywords

error estimatefinite timecontraction metricmeshless collocationarea of exponential attraction

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability of solutions to ordinary differential equations (34D20) Stability theory for smooth dynamical systems (37C75) Numerical nonlinear stabilities in dynamical systems (65P40) Nonautonomous smooth dynamical systems (37C60)

Related Items (1)

Review on contraction analysis and computation of contraction metrics

Cites Work

• Unnamed Item
• Areas of attraction for nonautonomous differential equations on finite time intervals
• A unified approach to finite-time hyperbolicity which extends finite-time Lyapunov exponents
• Determination of the basin of attraction of a periodic orbit in two dimensions using meshless collocation
• Finite-time attractivity and bifurcation for nonautonomous differential equations
• On finite-time hyperbolicity
• Construction of a finite-time Lyapunov function by meshless collocation
• Attractivity and bifurcation for nonautonomous dynamical systems
• Error estimates for interpolation by compactly supported radial basis functions of minimal degree
• A definition of spectrum for differential equations on finite time
• Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
• On dichotomies for solutions of \(n\)-th order linear differential equations
• Do Finite-Size Lyapunov Exponents detect coherent structures?
• Meshless Collocation: Error Estimates with Application to Dynamical Systems
• Radial Basis Functions
• Finding finite-time invariant manifolds in two-dimensional velocity fields
• Ordinary Differential Equations with Applications
• Scattered Data Approximation

This page was built for publication: Determination of the area of exponential attraction in one-dimensional finite-time systems using meshless collocation