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Mathematics

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2006

Periodic orbits

Articles 1 - 4 of 4

Full-Text Articles in Physical Sciences and Mathematics

Simple Braids For Surface Homeomorphisms, Kamlesh Parwani Dec 2006

Simple Braids For Surface Homeomorphisms, Kamlesh Parwani

Faculty Research and Creative Activity

Let S be a compact, oriented surface with negative Euler characteristic and f:S→S be a homeomorphism isotopic to the identity. If there exists a periodic orbit with a non-zero rotation vector (p→,q), then there exists a simple braid with the same rotation vector.

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Simple Braids For Surface Homeomorphisms, Kamlesh Parwani Dec 2006

Simple Braids For Surface Homeomorphisms, Kamlesh Parwani

Faculty Research and Creative Activity

Let S be a compact, oriented surface with negative Euler characteristic and f:S→S be a homeomorphism isotopic to the identity. If there exists a periodic orbit with a non-zero rotation vector (p→,q), then there exists a simple braid with the same rotation vector.

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Simple Braids For Surface Homeomorphisms, Kamlesh Parwani Dec 2006

Simple Braids For Surface Homeomorphisms, Kamlesh Parwani

Kamlesh Parwani

Let S be a compact, oriented surface with negative Euler characteristic and f:S→S be a homeomorphism isotopic to the identity. If there exists a periodic orbit with a non-zero rotation vector (p→,q), then there exists a simple braid with the same rotation vector.

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An Extension Of Sharkovsky’S Theorem To Periodic Difference Equations, Ziyad Alsharawi, James Angelos, Saber Elaydi, Leela Rakesh Apr 2006

An Extension Of Sharkovsky’S Theorem To Periodic Difference Equations, Ziyad Alsharawi, James Angelos, Saber Elaydi, Leela Rakesh

Mathematics Faculty Research

We present an extension of Sharkovsky’s Theorem and its converse to periodic difference equations. In addition, we provide a simple method for constructing a p-periodic difference equation having an r-periodic geometric cycle with or without stability properties.

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