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Differential Equations with Symbolic Computation

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Cover of 'Differential Equations with Symbolic Computation'

Table of Contents

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    Book Overview
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    Chapter 1 Symbolic Computation of Lyapunov Quantities and the Second Part of Hilbert’s Sixteenth Problem
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    Chapter 2 Estimating Limit Cycle Bifurcations from Centers
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    Chapter 3 Conditions of Infinity to be an Isochronous Center for a Class of Differential Systems
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    Chapter 4 Darboux Integrability and Limit Cycles for a Class of Polynomial Differential Systems
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    Chapter 5 Time-Reversibility in Two-Dimensional Polynomial Systems
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    Chapter 6 On Symbolic Computation of the LCE of N -Dimensional Dynamical Systems
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    Chapter 7 Symbolic Computation for Equilibria of Two Dynamic Models
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    Chapter 8 Attractive Regions in Power Systems by Singular Perturbation Analysis
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    Chapter 9 Algebraic Multiplicity and the Poincaré Problem
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    Chapter 10 Formalizing a Reasoning Strategy in Symbolic Approach to Differential Equations
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    Chapter 11 Looking for Periodic Solutions of ODE Systems by the Normal Form Method
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    Chapter 12 Algorithmic Reduction and Rational General Solutions of First Order Algebraic Differential Equations
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    Chapter 13 Factoring Partial Differential Systems in Positive Characteristic
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    Chapter 14 On the Factorization of Differential Modules
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    Chapter 15 Continuous and Discrete Homotopy Operators and the Computation of Conservation Laws
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    Chapter 16 Partial and Complete Linearization of PDEs Based on Conservation Laws
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    Chapter 17 CONSLAW: A Maple Package to Construct the Conservation Laws for Nonlinear Evolution Equations
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    Chapter 18 Generalized Differential Resultant Systems of Algebraic ODEs and Differential Elimination Theory
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    Chapter 19 On “Good” Bases of Algebraico-Differential Ideals
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    Chapter 20 On the Construction of Groebner Basis of a Polynomial Ideal Based on Riquier—Janet Theory
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Citations

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Title
Differential Equations with Symbolic Computation
Published by
Birkhäuser Basel, January 2005
DOI 10.1007/3-7643-7429-2
ISBNs
978-3-76-437429-7, 978-3-76-437368-9
Authors

Wang, Dongming, Zheng, Zhiming

Editors

Wang, Dongming, Zheng, Zhiming

Mendeley readers

The data shown below were compiled from readership statistics for 5 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 5 100%

Demographic breakdown

Readers by professional status Count As %
Researcher 1 20%
Student > Ph. D. Student 1 20%
Professor > Associate Professor 1 20%
Student > Doctoral Student 1 20%
Student > Master 1 20%
Other 0 0%
Readers by discipline Count As %
Physics and Astronomy 3 60%
Mathematics 1 20%
Unspecified 1 20%