Monotone periodic orbits for torus homeomorphisms

Kamlesh Parwani

Monotone periodic orbits for torus homeomorphisms

Eastern Illinois University

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

Abstract

Let f be a homeomorphism of the torus isotopic to the identity and suppose that there exists a periodic orbit with a non-zero rotation vector (p/q,r/q), then f has a topologically monotone periodic orbit with the same rotation vector.

Original language	American English
Journal	Proceedings of the American Mathematical Society
Volume	133
State	Published - 2005

Disciplines

Mathematics

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Cite this

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title = "Monotone periodic orbits for torus homeomorphisms",

abstract = " Let f be a homeomorphism of the torus isotopic to the identity and suppose that there exists a periodic orbit with a non-zero rotation vector (p/q,r/q), then f has a topologically monotone periodic orbit with the same rotation vector.",

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year = "2005",

language = "American English",

volume = "133",

journal = "Proceedings of the American Mathematical Society",

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AU - Parwani, Kamlesh

PY - 2005

Y1 - 2005

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AB - Let f be a homeomorphism of the torus isotopic to the identity and suppose that there exists a periodic orbit with a non-zero rotation vector (p/q,r/q), then f has a topologically monotone periodic orbit with the same rotation vector.

M3 - Article

VL - 133

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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