Differential Equations with Symbolic Computation

Front Cover
Springer Science & Business Media, Aug 15, 2005 - Mathematics - 374 pages
0 Reviews

This book presents the state-of-the-art in tackling differential equations using advanced methods and software tools of symbolic computation. It 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.

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Symbolic Computation of Lyapunov Quantities and the Second Part of Hilberts Sixteenth Problem
1
Estimating Limit Cycle Bifurcations from Centers
23
Conditions of Infinity to be an Isochronous Center for a Class of Differential Systems
37
Darboux Integrability and Limit Cycles for a Class of Polynomial Differential Systems
55
TimeReversibility in TwoDimensional Polynomial Systems
67
On Symbolic Computation of the LCE of NDimensional Dynamical Systems
85
Symbolic Computation for Equilibria of Two Dynamic Models
109
Attractive Regions in Power Systems by Singular Perturbation Analysis
121
Algorithmic Reduction and Rational General Solutions of First Order Algebraic Differential Equations
201
Factoring Partial Differential Systems in Positive Characteristic
213
On the Factorization of Differential Modules
239
Continuous and Discrete Homotopy Operators and the Computation of Conservation Laws
255
Partial and Complete Linearization of PDEs Based on Conservation Laws
291
A Maple Package to Construct the Conservation Laws for Nonlinear Evolution Equations
307
Generalized Differential Resultant Systems of Algebraic ODEs and Differential Elimination Theory
327
On Good Bases of AlgebraicoDifferential Ideals
343

Algebraic Multiplicity and the Poincare Problem
143
Formalizing a Reasoning Strategy in Symbolic Approach to Differential Equations
159
Looking for Periodic Solutions of ODE Systems by the Normal Form Method
173
On the Construction of Groebner Basis of a Polynomial Ideal Based on RiquierJanet Theory
351
Index
369
Copyright

Other editions - View all

Common terms and phrases

References to this book

Bibliographic information