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Successive continuation for locating connecting orbits

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Abstract

A successive continuation method for locating connecting orbits in parametrized systems of autonomous ODEs is considered. A local convergence analysis is presented and several illustrative numerical examples are given.

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Authors and Affiliations

  1. Computer Science Department, Concordia University, Montreal, Quebec, Canada, H3G 1M8

    E. J. Doedel

  2. Department of Mathematical Sciences, University of Alabama in Huntsville, Huntsville, AL, 35899, USA

    M. J. Friedman & B. I. Kunin

Authors
  1. E. J. Doedel
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  2. M. J. Friedman
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  3. B. I. Kunin
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Doedel, E.J., Friedman, M.J. & Kunin, B.I. Successive continuation for locating connecting orbits. Numerical Algorithms 14, 103–124 (1997). https://doi.org/10.1023/A:1019152611342

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