How to compute the Melnikov vector ?

Alaan Goriely, Michael Tabor

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

It is shown that transverse homoclinic intersections such as the ones described by the Melnikov theory can be computed by a local analysis of the complex-Time singularities of the solutions. This provides a new algorithmic procedure to compute homoclinic intersections in n-dimensions once the homoclinic manifold is known. It also gives new insights on the singularity structure of integrable and nonintegrable systems.

Original languageEnglish (US)
Title of host publicationProceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC 1994
PublisherAssociation for Computing Machinery
Pages205-210
Number of pages6
ISBN (Electronic)0897916387
DOIs
StatePublished - Aug 1 1994
Event1994 International Symposium on Symbolic and Algebraic Computation, ISSAC 1994 - Oxford, United Kingdom
Duration: Jul 20 1994Jul 22 1994

Publication series

NameProceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC
VolumePart F129423

Other

Other1994 International Symposium on Symbolic and Algebraic Computation, ISSAC 1994
CountryUnited Kingdom
CityOxford
Period7/20/947/22/94

ASJC Scopus subject areas

  • Mathematics(all)

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  • Cite this

    Goriely, A., & Tabor, M. (1994). How to compute the Melnikov vector ? In Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC 1994 (pp. 205-210). (Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC; Vol. Part F129423). Association for Computing Machinery. https://doi.org/10.1145/190347.190418