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The basin of attraction of an equilibrium of an ordinary differential equation can be determined using a Lyapunov function. A new method to construct such a Lyapunov function using radial basis functions is presented in this volume intended for researchers and advanced students from both dynamical systems and radial basis functions. Besides an introduction to both areas and a detailed description of the method, it contains error estimates and many examples.
Author(s): Peter Giesl (auth.)
Series: Lecture Notes in Mathematics 1904
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2007
Language: English
Pages: 171
City: Berlin; New York
Tags: Dynamical Systems and Ergodic Theory; Approximations and Expansions; Ordinary Differential Equations