Details

Differential Equations with Symbolic Computation

Trends in Mathematics

von: Dongming Wang, Zhiming Zheng
149,79 €
Verlag:	Birkhäuser
Format:	PDF
Veröffentl.:	16.03.2006
ISBN/EAN:	9783764374297
Sprache:	englisch
Anzahl Seiten:	382

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Beschreibungen

Inhaltsverzeichnis

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.

Sonderbeitrag

First book on the interaction of differential equations and symbolic computation with rich contents on the qualitative analysis of differential systems Broad and extensive coverage of the current research topics in differential equations with symbolic computation A coherent and comprehensive volume of 20 chapters, written mostly by internationally recognized leading experts on the interdisciplinary subject Includes supplementary material: sn.pub/extras