Period doubling is the boundary of chaos and of order in the C1-topology of interval maps

DOI10.1088/0951-7715/15/3/318zbMath1013.37036OpenAlexW2028766368MaRDI QIDQ3147381

Víctor Jiménez Lopéz

Publication date: 2002

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/15/3/318

zbMATH Keywords

doubling periodŠarkovskij orderingtype \(2^\infty\)

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15)

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A classification of explosions in dimension one

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