On the determination of the basin of attraction of discrete dynamical systems

DOI10.1080/10236190601135209zbMath1120.39018OpenAlexW2029984615MaRDI QIDQ3446983

Peter Giesl

Publication date: 27 June 2007

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190601135209

zbMATH Keywords

Lyapunov functionerror estimatesNewton's methodfixed pointbasin of attractionradial basis functionsdiscrete dynamical systemregion of convergence

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Discrete version of topics in analysis (39A12) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items

A Numerical Analyst’s View of the Lattice Boltzmann Method, On multistability behavior of unstable dissipative systems, Computation of Lyapunov functions for nonlinear discrete time systems by linear programming, Low-rank kernel approximation of Lyapunov functions using neural networks, Construction of a local and global Lyapunov function for discrete dynamical systems using radial basis functions, Numerical determination of the basin of attraction for exponentially asymptotically autonomous dynamical systems, Computation of continuous and piecewise affine Lyapunov functions for discrete-time systems, Dynamic programming using radial basis functions, Review on computational methods for Lyapunov functions

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