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Approximation of Hopf bifurcation

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Summary

We make several assumptions on a nonlinear evolution problem, ensuring the existence of a Hopf bifurcation. Under a fairly general approximation condition, we define a discrete problem which retains the bifurcation property and we prove an error estimate between the branches of exact and approximate periodic solutions.

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Authors and Affiliations

  1. Laboratoire Analyse Numérique (LA 189), Université P. et M. Curie, Tour 55-65-5ème étage, 4 place Jussieu, F-75230, Paris Cedex 05, France

    C. Bernardi

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  1. C. Bernardi
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Bernardi, C. Approximation of Hopf bifurcation. Numer. Math. 39, 15–37 (1982). https://doi.org/10.1007/BF01399309

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  • DOI: https://doi.org/10.1007/BF01399309

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