Criteria for Hopf Bifurcations with Fixed Multiplicities

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

抄録

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.

本文言語英語
ホスト出版物のタイトルISSAC 2021 - Proceedings of the 2021 International Symposium on Symbolic and Algebraic Computation
出版社Association for Computing Machinery
ページ147-154
ページ数8
ISBN(電子版)9781450383820
DOI
出版ステータス出版済み - 7 18 2021
イベント46th International Symposium on Symbolic and Algebraic Computation, ISSAC 2021 - Virtual, Online, ロシア連邦
継続期間: 7 18 20217 23 2021

出版物シリーズ

名前Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC

会議

会議46th International Symposium on Symbolic and Algebraic Computation, ISSAC 2021
国/地域ロシア連邦
CityVirtual, Online
Period7/18/217/23/21

All Science Journal Classification (ASJC) codes

  • 数学 (全般)

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