Computation of Floquet Multipliers Using an Iterative Method for Variational Equations

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概要

• 論文の詳細を見る

• 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.

• （社）電子情報通信学会の論文
• 2009-05-01

著者

• Murashige Sunao

  Department Of Complex Systems Future University-hakodate

• NUREKI Yu

  Department of Complexity Science and Engineering, The University of Tokyo

• Nureki Yu

  Department Of Complexity Science And Engineering The University Of Tokyo

• Yu Nureki

  Department of Complexity Science and Engineering, The University of Tokyo

関連論文

• Computation of Floquet Multipliers Using an Iterative Method for Variational Equations
• Boundary　conditions　for　numerical　stability　analysis　of　periodic　solutions　of　ordinary　differential　equations
• A Practical Method of Numerical Calculation of the Mapping Degree(Numerical Analysis and Optimization)

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