Approximation of Hopf bifurcation |
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Authors: | C. Bernardi |
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Affiliation: | (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 |
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Abstract: | 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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Keywords: | AMS(MOS): 65 N 30 CR: 5.17 |
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