Cover image for Differential Equations with Symbolic Computation
Differential Equations with Symbolic Computation
Title:
Differential Equations with Symbolic Computation
Author:
Wang, Dongming. editor.
ISBN:
9783764374297
Physical Description:
VIII, 374 p. online resource.
Series:
Trends in Mathematics
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.
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