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Coexistence of periods in a bifurcation |
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| Authors: | V. Botella-Soler J.A. Oteo J. Ros |
| Affiliation: | 1. Departament de Física Teòrica, Universitat de València, 46100 Burjassot, València, Spain;2. IFIC, Universitat de València-CSIC, 46100 Burjassot, València, Spain;1. Ecole National Superieure, 46 rue d''Ulm, 75230 Paris, France;2. Hopital de la Salpetriere, 47 bd. de l''Hopital, 75651 Paris Cedex 13, France;3. CNRS&Universite 7-Denis Diderot, 10 rue Alice Domon et Leonie Duquet, 75205 Paris Cedex 13, France |
| Abstract: | A particular type of order-to-chaos transition mediated by an infinite set of coexisting neutrally stable limit cycles of different periods is studied in the Varley–Gradwell–Hassell population model. We prove by an algebraic method that this kind of transition can only happen for a particular bifurcation parameter value. Previous results on the structure of the attractor at the transition point are here simplified and extended. |
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