Differential Equations with Symbolic Computation

Bibliographic Details
Other Authors: Wang, Dongming (Editor), Zheng, Zhiming (Editor)
Format: eBook
Language:English
Published: Basel Birkhäuser 2005, 2005
Edition:1st ed. 2005
Series:Trends in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of 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
  • Attractive Regions in Power Systems by Singular Perturbation Analysis
  • Algebraic Multiplicity and the Poincaré Problem
  • Formalizing a Reasoning Strategy in Symbolic Approach to Differential Equations
  • Looking for Periodic Solutions of ODE Systems by the Normal Form Method
  • Algorithmic Reduction and Rational General Solutions of First Order Algebraic Differential Equations
  • Factoring Partial Differential Systems in Positive Characteristic
  • On the Factorization of Differential Modules
  • Continuous and Discrete Homotopy Operators and the Computation of Conservation Laws
  • Partial and Complete Linearization of PDEs Based on Conservation Laws
  • CONSLAW: A Maple Package to Construct the Conservation Laws for Nonlinear Evolution Equations
  • Generalized Differential Resultant Systems of Algebraic ODEs and Differential Elimination Theory
  • On “Good” Bases of Algebraico-Differential Ideals
  • On the Construction of Groebner Basis of a Polynomial Ideal Based on Riquier—Janet Theory