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Rotation number

Known as: Map winding number 
In mathematics, the rotation number is an invariant of homeomorphisms of the circle.
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Papers overview

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2017
2017
  • 2017
  • Corpus ID: 149451090
With the improvement of process technology, Aluminum alloy is widely used in many industries. The function of aluminum alloy… 
2015
2015
One of the paramount stepping stones towards the long-term goal of undertaking human missions to Mars is the exploration of the… 
2014
2014
Three-dimensional IC (3D IC) exhibits various advantages over traditional two-dimensional IC (2D IC), including heterogeneous… 
2010
2010
Let Homeo(S1) represent the full group of homeomorphisms of the unit circle S1, and let A represent the set of subgroups of Homeo… 
2009
2009
We introduce the concepts of rotation numbers and rotation vectors for billiard maps. Our approach is based on the birkhoff… 
2008
2008
In 2008 Petersen posed a list of questions on the application of trans-quasiconformal Siegel surgery developed by Zakeri and… 
2008
2008
The study deals with the numerical simulation of dilute solid-fluid flow in a two-dimensional straight rotating channel using… 
1998
1998
Using the standard map as a model problem we have investigated the method of the twist angles (Contopoulos and Voglis 1997) to… 
1993
1993
We characterize the uniquely ergodic endomorphisms of the circle in terms of their periodic orbits