Boundary　conditions　for　numerical　stability　analysis　of　periodic　solutions　of　ordinary　differential　equations

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概要

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• This paper considers numerical methods for stability analyses of periodic solutions of ordinary differential equations. Stability of a periodic solution can be determined by the corresponding monodromy matrix and its eigenvalues. Some commonly used numerical methods can produce inaccurate results of them in some cases, for example, near bifurcation points or when one of the eigenvalues is very large or very small. This work proposes a numerical method using a periodic boundary condition for vector fields, which preserves a critical property of the monodromy matrix. Numerical examples demonstrate effectiveness and a drawback of this method.

• The　Institute　of　Electronics,　Information　and　Communication　Engineersの論文
• 2008-04-01

著者

• Murashige Sunao

  Future Univ.‐hakodate Hakodate‐shi Jpn

• Murashige Sunao

  Department Of Complex Systems Future University-hakodate

• Murashige Sunao

  Department Of Complex Systems School Of Systems Information Science Future University-hakodate

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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