Differential Equations with Symbolic Computation

Editors: Wang, Dongming, Zheng, Zhiming (Eds.)

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Reviews: From the reviews:
“The book comprises 20 paper-like chapters written by different authors. … the presented topics are well covered by the contributions and since the information content of each chapter is further enhanced by a rich reference section, researchers and students pursuing the relevant subjects should not miss this book.” (Jan Chleboun, Applications of Mathematics, Vol. 56 (5), 2011)

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Table of contents (20 chapters)

Symbolic Computation of Lyapunov Quantities and the Second Part of Hilbert’s Sixteenth Problem

Lynch, Stephen

Pages 1-22

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Estimating Limit Cycle Bifurcations from Centers

Christopher, Colin

Pages 23-35

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Conditions of Infinity to be an Isochronous Center for a Class of Differential Systems

Huang, Wentao (et al.)

Pages 37-53

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Darboux Integrability and Limit Cycles for a Class of Polynomial Differential Systems

Giné, Jaume (et al.)

Pages 55-65

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Time-Reversibility in Two-Dimensional Polynomial Systems

Romanovski, Valery G. (et al.)

Pages 67-83

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On Symbolic Computation of the LCE of N-Dimensional Dynamical Systems

Ning, Shucheng (et al.)

Pages 85-107

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Symbolic Computation for Equilibria of Two Dynamic Models

Zhang, Weinian (et al.)

Pages 109-120

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Attractive Regions in Power Systems by Singular Perturbation Analysis

Jing, Zhujun (et al.)

Pages 121-142

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Algebraic Multiplicity and the Poincaré Problem

Lei, Jinzhi (et al.)

Pages 143-157

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Formalizing a Reasoning Strategy in Symbolic Approach to Differential Equations

Ma, Shilong

Pages 159-171

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Looking for Periodic Solutions of ODE Systems by the Normal Form Method

Edneral, Victor F.

Pages 173-200

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Algorithmic Reduction and Rational General Solutions of First Order Algebraic Differential Equations

Chen, Guoting (et al.)

Pages 201-212

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Factoring Partial Differential Systems in Positive Characteristic

Barkatou, Moulay A. (et al.)

Pages 213-238

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On the Factorization of Differential Modules

Wu, Min

Pages 239-254

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Continuous and Discrete Homotopy Operators and the Computation of Conservation Laws

Hereman, Willy (et al.)

Pages 255-290

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Partial and Complete Linearization of PDEs Based on Conservation Laws

Wolf, Thomas

Pages 291-306

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CONSLAW: A Maple Package to Construct the Conservation Laws for Nonlinear Evolution Equations

Yao, Ruo-Xia (et al.)

Pages 307-325

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Generalized Differential Resultant Systems of Algebraic ODEs and Differential Elimination Theory

Carrá Ferro, Giuseppa

Pages 327-341

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On “Good” Bases of Algebraico-Differential Ideals

Wu, Wen-tsün

Pages 343-350

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On the Construction of Groebner Basis of a Polynomial Ideal Based on Riquier—Janet Theory

Wu (Wen-tsün Wu), Wenjun

Pages 351-368

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