Approximating the basin of attraction of time-periodic ODEs by meshless collocation

DOI10.3934/DCDS.2009.25.1249zbMath1195.34076OpenAlexW2080356937MaRDI QIDQ1045779

Peter Giesl, Holger Wendland

Publication date: 16 December 2009

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

Full work available at URL: https://doi.org/10.3934/dcds.2009.25.1249

zbMATH Keywords

basin of attractionLyapunov functionsperiodic orbitperiodic differential equationsmeshless collocationradial basin function

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (6)

Robust approximation algorithms for the detection of attraction basins in dynamical systems ⋮ A Numerical Analyst’s View of the Lattice Boltzmann Method ⋮ Construction of a CPA contraction metric for periodic orbits using semidefinite optimization ⋮ Numerical determination of the basin of attraction for exponentially asymptotically autonomous dynamical systems ⋮ A High-Order, Analytically Divergence-Free Approximation Method for the Time-Dependent Stokes Problem ⋮ Review on computational methods for Lyapunov functions

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