Asymptotic linking of periodic orbits for diffeomorphisms of the two-disk

L. Alseda; S. B. Miled; J. M. Gambaudo; P. Mumbru

doi:https://doi.org/10.1088/0951-7715/6/5/001

Asymptotic linking of periodic orbits for diffeomorphisms of the two-disk

L. Alseda, S. B. Miled, J. M. Gambaudo, P. Mumbru

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

Abstract

Let f be a C1+ in orientation preserving diffeomorphism of the two-disk with positive topological entropy. The authors define for f an interval of topological invariants. Each point in this interval describes the way the elements of an infinite sequence of periodic orbits with arbitrarily large periods, are asymptotically linked one around the other.

Original language	English
Article number	001
Pages (from-to)	653-663
Journal	Nonlinearity
Volume	6
DOIs	https://doi.org/10.1088/0951-7715/6/5/001
Publication status	Published - 1 Dec 1993

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title = "Asymptotic linking of periodic orbits for diffeomorphisms of the two-disk",

abstract = "Let f be a C1+ in orientation preserving diffeomorphism of the two-disk with positive topological entropy. The authors define for f an interval of topological invariants. Each point in this interval describes the way the elements of an infinite sequence of periodic orbits with arbitrarily large periods, are asymptotically linked one around the other.",

author = "L. Alseda and Miled, {S. B.} and Gambaudo, {J. M.} and P. Mumbru",

year = "1993",

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AU - Alseda, L.

AU - Miled, S. B.

AU - Gambaudo, J. M.

AU - Mumbru, P.

PY - 1993/12/1

Y1 - 1993/12/1

N2 - Let f be a C1+ in orientation preserving diffeomorphism of the two-disk with positive topological entropy. The authors define for f an interval of topological invariants. Each point in this interval describes the way the elements of an infinite sequence of periodic orbits with arbitrarily large periods, are asymptotically linked one around the other.

AB - Let f be a C1+ in orientation preserving diffeomorphism of the two-disk with positive topological entropy. The authors define for f an interval of topological invariants. Each point in this interval describes the way the elements of an infinite sequence of periodic orbits with arbitrarily large periods, are asymptotically linked one around the other.

U2 - https://doi.org/10.1088/0951-7715/6/5/001

DO - https://doi.org/10.1088/0951-7715/6/5/001

M3 - Article

VL - 6

SP - 653

EP - 663

JO - Nonlinearity

JF - Nonlinearity

SN - 0951-7715

M1 - 001

ER -

Asymptotic linking of periodic orbits for diffeomorphisms of the two-disk

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