10 research outputs found

    Perturbation of a Hopf bifurcation by an external time-periodic forcing

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    Infinite cascades of braids and smooth dynamical systems

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    Stable cycles with complicated structure

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    In experiments where two stable cycles come together to form one large stable cycle (which is essentially a combination of the first two) as a parameter is varied, small perturbations can lead to stable cycles with complicated structures. We describe this phenomenon and indicate the possible form of these complicated orbits.Dans des expériences où deux cycles stables se « collent » pour former un grand cycle stable (qui est essentiellement la combinaison des deux premiers) quand on varie un paramètre, de petites perturbations peuvent donner lieu à des cycles stables ayant une structure compliquée. Nous déerivons ce phénomène et indiquons quelle peut être la structure de ces orbites

    A Note on the Periods of Surface Homeomorphisms

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