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Split Iteration Technique to Determine Hopf Bifurcation Points

Published: 22 August 2024 Publication History

Abstract

Determining Hopf bifurcation points is an important task in the study of nonlinear dynamic systems, but existing methods require a large amount of computation and have low ratios of success. In this study, we present a numerical method to determine Hopf bifurcation points: the Split Iteration Technique and prove its convergence. Compared with existing methods, this method results in much less computation and a much higher ratio of success.

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ICMAI '24: Proceedings of the 2024 9th International Conference on Mathematics and Artificial Intelligence
May 2024
134 pages
ISBN:9798400717284
DOI:10.1145/3670085
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

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Published: 22 August 2024

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  1. Hopf bifurcation points
  2. nonlinear dynamic systems
  3. split iteration technique

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