TY - BOOK ID - 5452405 TI - Construction of global Lyapunov functions using radial basis functions PY - 2007 SN - 9783540699071 3540699074 9786610853427 1280853425 3540699090 PB - Berlin ; Heidelberg ; New York : Springer, DB - UniCat KW - Lyapunov functions. KW - Radial basis functions. KW - Electronic books. -- local. KW - Lyapunov functions KW - Radial basis functions KW - Engineering & Applied Sciences KW - Mathematics KW - Physical Sciences & Mathematics KW - Applied Mathematics KW - Calculus KW - Mathematical Theory KW - Basis functions, Radial KW - Functions, Radial basis KW - Radial basis function method KW - Functions, Liapunov KW - Liapunov functions KW - Mathematics. KW - Approximation theory. KW - Dynamics. KW - Ergodic theory. KW - Differential equations. KW - Dynamical Systems and Ergodic Theory. KW - Approximations and Expansions. KW - Ordinary Differential Equations. KW - 517.91 Differential equations KW - Differential equations KW - Ergodic transformations KW - Continuous groups KW - Mathematical physics KW - Measure theory KW - Transformations (Mathematics) KW - Dynamical systems KW - Kinetics KW - Mechanics, Analytic KW - Force and energy KW - Mechanics KW - Physics KW - Statics KW - Theory of approximation KW - Functional analysis KW - Functions KW - Polynomials KW - Chebyshev systems KW - Math KW - Science KW - Approximation theory KW - Differentiable dynamical systems. KW - Differential Equations. KW - Differential dynamical systems KW - Dynamical systems, Differentiable KW - Dynamics, Differentiable KW - Global analysis (Mathematics) KW - Topological dynamics UR - https://www.unicat.be/uniCat?func=search&query=sysid:5452405 AB - 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. ER -