Criteria for Hopf Bifurcations with Fixed Multiplicities

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

Abstract

The Hopf bifurcation theorem gives us a sufficient condition for that there is a Poincaré-Andronov-Hopf bifurcation by using prior assumptions on special coordinates. In 2020, Kruff and Walcher introduced a useful method to compute sufficient conditions for simple Poincaré-Andronov-Hopf bifurcations without such prior assumptions. In the paper, for multiple Hopf bifurcations, we generalize the method. The author has implemented the generalized method on the computer algebra system SageMath. The usefulness of the generalized method is illustrated by the implementation.

Original languageEnglish
Title of host publicationISSAC 2021 - Proceedings of the 2021 International Symposium on Symbolic and Algebraic Computation
PublisherAssociation for Computing Machinery
Pages147-154
Number of pages8
ISBN (Electronic)9781450383820
DOIs
Publication statusPublished - Jul 18 2021
Event46th International Symposium on Symbolic and Algebraic Computation, ISSAC 2021 - Virtual, Online, Russian Federation
Duration: Jul 18 2021Jul 23 2021

Publication series

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

Conference

Conference46th International Symposium on Symbolic and Algebraic Computation, ISSAC 2021
Country/TerritoryRussian Federation
CityVirtual, Online
Period7/18/217/23/21

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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