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Random Perturbations of Canards

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  • Richard B. Sowers

    (University of Illinois at Urbana–Champaign)

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.

Suggested Citation

  • Richard B. Sowers, 2008. "Random Perturbations of Canards," Journal of Theoretical Probability, Springer, vol. 21(4), pages 824-889, December.
    • Handle: RePEc:spr:jotpro:v:21:y:2008:i:4:d:10.1007_s10959-008-0150-1
    DOI: 10.1007/s10959-008-0150-1
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    Cited by:

    1. Irina Bashkirtseva & Grigoriy Ivanenko & Dmitrii Mordovskikh & Lev Ryashko, 2023. "Canards Oscillations, Noise-Induced Splitting of Cycles and Transition to Chaos in Thermochemical Kinetics," Mathematics, MDPI, vol. 11(8), pages 1-9, April.
    2. Feibiao Zhan & Yingteng Zhang & Jian Song & Shenquan Liu, 2023. "Canard Mechanism and Rhythm Dynamics of Neuron Models," Mathematics, MDPI, vol. 11(13), pages 1-22, June.

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    Keywords

    Fenichel manifolds;

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