Dongming Wang & Zhiming Zheng 
Differential Equations with Symbolic Computation [PDF ebook] 

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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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Мова Англійська ● Формат PDF ● Сторінки 374 ● ISBN 9783764374297 ● Розмір файлу 11.7 MB ● Редактор Dongming Wang & Zhiming Zheng ● Видавець Springer Basel ● Місто Basel ● Країна CH ● Опубліковано 2006 ● Завантажувані 24 місяців ● Валюта EUR ● Посвідчення особи 2205637 ● Захист від копіювання Соціальний DRM

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