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Persistence of the Feigenbaum attractor in one-parameter families

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Publication:1586929
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DOI10.1007/S002200050739zbMath0983.37046OpenAlexW2111162345MaRDI QIDQ1586929

Heber Enrich, Eleonora Catsigeras

Publication date: 20 November 2000

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050739


zbMATH Keywords

homoclinic tangenciesFeigenbaum attractorsmall \(C^r\) perturbation


Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Universality and renormalization of dynamical systems (37E20) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)


Related Items (3)

A period-doubling cascade precedes chaos for planar maps ⋮ Modeling the scenarios of collapse of the commercial aquatic populations off the coast of Canada and Alaska ⋮ The real analytic Feigenbaum–Coullet–Tresser attractor in the disc







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