Differential Equations with Symbolic Computation

Abstract

Presents tackling differential equations using advanced methods and software tools of symbolic computation. This book focuses on the symbolic-computational aspects of three kinds of fundamental problems in differential equations: transforming the equations, solving the equations, and studying the structure and properties of their solutions. Preliminaries; Preface; Contents; Symbolic Computation of Lyapunov Quantities and the Second Part of Hilbert's Sixteenth Problem; Estimating Limit Cycle Bifurcations from Centers; Conditions of Infinity to be an Isochronous Center for a Class of Differential Systems; Darboux Integrability and Limit Cycles for a Class of Polynomial Differential Systems; Time Reversibility in Two Dimensional Polynomial Systems; On Symbolic Computation of the LCE of N Dimensional Dynamical Systems; Symbolic Computation for Equilibria of Two Dynamic Models.