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Birkhäuser

Differential Equations with Symbolic Computation

  • Conference proceedings
  • © 2005

Overview

Editors:
  1. Dongming Wang

    1. School of Science, Beihang University, Beijing, China
      Laboratoire d’Informatique de Paris 6, Université Pierre et Marie Curie - CNRS, Paris, France

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    You can also search for this editor in PubMed   Google Scholar

  2. Zhiming Zheng

    1. School of Science, Beihang University, Beijing, China

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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

Part of the book series: Trends in Mathematics (TM)

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Table of contents (20 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

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

    • Stephen Lynch
    Pages 1-22

  3. Estimating Limit Cycle Bifurcations from Centers

    • Colin Christopher
    Pages 23-35

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

    • Wentao Huang, Yirong Liu
    Pages 37-53

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

    • Jaume Giné, Jaume Llibre
    Pages 55-65

  6. Time-Reversibility in Two-Dimensional Polynomial Systems

    • Valery G. Romanovski, Douglas S. Shafer
    Pages 67-83

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

    • Shucheng Ning, Zhiming Zheng
    Pages 85-107

  8. Symbolic Computation for Equilibria of Two Dynamic Models

    • Weinian Zhang, Rui Yan
    Pages 109-120

  9. Attractive Regions in Power Systems by Singular Perturbation Analysis

    • Zhujun Jing, Ruiqi Wang, Luonan Chen, Jin Deng
    Pages 121-142

  10. Algebraic Multiplicity and the Poincaré Problem

    • Jinzhi Lei, Lijun Yang
    Pages 143-157

  11. Formalizing a Reasoning Strategy in Symbolic Approach to Differential Equations

    • Shilong Ma
    Pages 159-171

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

    • Victor F. Edneral
    Pages 173-200

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

    • Guoting Chen, Yujie Ma
    Pages 201-212

  14. Factoring Partial Differential Systems in Positive Characteristic

    • Moulay A. Barkatou, Thomas Cluzeau, Jacques-Arthur Weil
    Pages 213-238

  15. On the Factorization of Differential Modules

    • Min Wu
    Pages 239-254

  16. Continuous and Discrete Homotopy Operators and the Computation of Conservation Laws

    • Willy Hereman, Michael Colagrosso, Ryan Sayers, Adam Ringler, Bernard Deconinck, Michael Nivala et al.
    Pages 255-290

  17. Partial and Complete Linearization of PDEs Based on Conservation Laws

    • Thomas Wolf
    Pages 291-306

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

    • Ruo-Xia Yao, Zhi-Bin Li
    Pages 307-325

  19. Generalized Differential Resultant Systems of Algebraic ODEs and Differential Elimination Theory

    • Giuseppa Carrá Ferro
    Pages 327-341

  20. On “Good” Bases of Algebraico-Differential Ideals

    • Wen-tsün Wu
    Pages 343-350
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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)

Editors and Affiliations

  • School of Science, Beihang University, Beijing, China

    Dongming Wang, Zhiming Zheng

  • Laboratoire d’Informatique de Paris 6, Université Pierre et Marie Curie - CNRS, Paris, France

    Dongming Wang

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