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Giesl, Peter.

Construction of Global Lyapunov Functions Using Radial Basis Functions [electronic resource] / by Peter Giesl. - VIII, 171 p. online resource. - Lecture Notes in Mathematics, 1904 0075-8434 ; . - Lecture Notes in Mathematics, 1904 .

Lyapunov Functions -- Radial Basis Functions -- Construction of Lyapunov Functions -- Global Determination of the Basin of Attraction -- Application of the Method: Examples.

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.

ISBN: 9783540699095

Standard No.: 10.1007/978-3-540-69909-5 doi

Subjects--Topical Terms:
Differentiable dynamical systems.
Mathematics.
Differential Equations.
Dynamical Systems and Ergodic Theory.
Approximations and Expansions.
Ordinary Differential Equations.

LC Class. No.: QA313

Dewey Class. No.: 515.39 515.48