Computation of Floquet Multipliers Using an Iterative Method for Variational Equations

• NUREKI Yu

  Department of Complexity Science and Engineering, The University of Tokyo

• MURASHIGE Sunao

  Department of Complex Systems, Future University-Hakodate

Abstract

This paper proposes a new method to numerically obtain Floquet multipliers which characterize stability of periodic orbits of ordinary differential equations. For sufficiently smooth periodic orbits, we can compute Floquet multipliers using some standard numerical methods with enough accuracy. However, it has been reported that these methods may produce incorrect results under some conditions. In this work, we propose a new iterative method to compute Floquet multipliers using eigenvectors of matrix solutions of the variational equations. Numerical examples show effectiveness of the proposed method.

Journal

• IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

  IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E92-A (5), 1331-1338, 2009

  The Institute of Electronics, Information and Communication Engineers

Keywords

• numerical method
• stability
• ordinary differential equations
• periodic orbits
• Floquet multipliers

Details

• CRID: 1390282681286966144
• NII Article ID: 10026857663
• NII Book ID: AA10826239
• DOI: 10.1587/transfun.e92.a.1331
• ISSN: 17451337
• ISSN: 09168508
• HANDLE: 10445/4727
• Web Site: https://fun.repo.nii.ac.jp/records/5382
• Web Site: http://www.jstage.jst.go.jp/article/transfun/E92.A/5/E92.A_5_1331/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed