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

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Differential Equations with Symbolic Computation

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

Abstract

We describe usage of the normal form method and corresponding computer algebra packages for building an approximation of local periodic solutions of nonlinear autonomous ordinary differential equations (ODEs). For illustration a number of systems are treated.

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Author information

Authors and Affiliations

  1. Skobeltsyn Institute of Nuclear Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia

    Victor F. Edneral

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  1. Victor F. Edneral
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Editor information

Editors and Affiliations

  1. School of Science, Beihang University, 37 Xueyuan Road, Beijing, 100083, China

    Dongming Wang  & Zhiming Zheng  & 

  2. Laboratoire d’Informatique de Paris 6, Université Pierre et Marie Curie - CNRS, 8, rue due Capitaine Scott, 75015, Paris, France

    Dongming Wang

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© 2005 Birkhhäuser Verlag Basel/Switzerland

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Edneral, V.F. (2005). Looking for Periodic Solutions of ODE Systems by the Normal Form Method. In: Wang, D., Zheng, Z. (eds) Differential Equations with Symbolic Computation. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7429-2_11

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