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Random Perturbations of Canards

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Abstract

We consider the effect of random perturbations on canards. We find the appropriate size of the random perturbations to produce a random selection of a regular duck versus a headless duck. The appropriate limit theorem, in the appropriate topology, is proved.

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois at Urbana–Champaign, Urbana, IL, 61801, USA

    Richard B. Sowers

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  1. Richard B. Sowers
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Correspondence to Richard B. Sowers.

Additional information

This material is based upon work supported by the National Science Foundation under Grant Nos. 0305925 and 0604249. The author would also like to thank Professor Jeff Moehlis of the Department of Mechanical and Environmental Engineering at UC Santa Barbara for a number of useful discussions about canards.

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Sowers, R.B. Random Perturbations of Canards. J Theor Probab 21, 824–889 (2008). https://doi.org/10.1007/s10959-008-0150-1

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  • DOI: https://doi.org/10.1007/s10959-008-0150-1

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