Boundary Conditions for Numerical Stability Analysis of Periodic Solutions of Ordinary Differential Equations

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Author(s)

    • MURASHIGE Sunao
    • Department of Complex Systems, School of Systems Information Science, Future University-Hakodate

Abstract

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.

Journal

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

    IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences 91(4), 1162-1168, 2008-04-01

    The Institute of Electronics, Information and Communication Engineers

References:  8

Cited by:  1

Codes

  • NII Article ID (NAID)
    10026848814
  • NII NACSIS-CAT ID (NCID)
    AA10826239
  • Text Lang
    ENG
  • Article Type
    Journal Article
  • ISSN
    09168508
  • Data Source
    CJP  CJPref  IR  J-STAGE 
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