Skip to search formSkip to main contentSkip to account menu

Rotation number

Known as: Map winding number 
In mathematics, the rotation number is an invariant of homeomorphisms of the circle.
Wikipedia (opens in a new tab)

Related topics

Related topics

4 relations
Arnold tongueCantor setHerman ringIterated function

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2015
2015
Natural and artificial orbits around the Martian moon Phobos
One of the paramount stepping stones towards the long-term goal of undertaking human missions to Mars is the exploration of the… 
2015
2015
Statistical properties of Poincaré recurrences and Afraimovich-Pesin dimension for the circle map
2008
2008
On David type Siegel Disks of the Sine family
In 2008 Petersen posed a list of questions on the application of trans-quasiconformal Siegel surgery developed by Zakeri and… 
2007
2007
Transversely nonsimple knots
By proving a connected sum formula for the Legendrian invariant $\lambda_+$ in knot Floer homology we exhibit infinitely many… 
2007
2007
A new approach in the theory of ordinary differential equations with small parameter
A topological degree based averaging principle has been proposed by J. Mawhin in his PhD thesis [J. Mawhin, Le Probleme des… 
2004
2004
Computation of frequency locking regions for a discontinuous periodically forced reactor
2002
2002
Large-scale chaos for arbitrarily small perturbations in non-twist Hamiltonian systems
2000
2000
Pressure drop characteristics in a rotating smooth square channel with a sharp 180° bend
1998
1998
Twist angles: a method for distinguishing islands, tori and weak chaotic orbits. Comparison with other methods of analysis
Using the standard map as a model problem we have investigated the method of the twist angles (Contopoulos and Voglis 1997) to… 
1993
1993
A characterization of the uniquely ergodic endomorphisms of the circle
We characterize the uniquely ergodic endomorphisms of the circle in terms of their periodic orbits 
By clicking accept or continuing to use the site, you agree to the terms outlined in our Privacy Policy (opens in a new tab), Terms of Service (opens in a new tab), and Dataset License (opens in a new tab)