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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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Related topics

Related topics

4 relations
Arnold tongueCantor setHerman ringIterated function

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2019
2019
Periodic solutions of second order equations via rotation numbers
2013
2013
Absence of robust rigidity for circle maps with breaks
2013
2013
Critical invariant circles in asymmetric and multiharmonic generalized standard maps
Highly Cited
2011
Highly Cited
2011
First Steps Towards a Symplectic Dynamics
Many interesting physical systems have mathematical descriptions as finite-dimensional or infinite-dimensional Hamiltonian… 
2007
2007
Computing Arnol′d tongue scenarios
2007
2007
Transversely nonsimple knots
By proving a connected sum formula for the Legendrian invariant $\lambda_+$ in knot Floer homology we exhibit infinitely many… 
Review
2000
Review
2000
Magnetic field lines, Hamiltonian dynamics, and nontwist systems
Magnetic field lines typically do not behave as described in the symmetrical situations treated in conventional physics textbooks… 
Highly Cited
1999
Highly Cited
1999
Asymptotic Statistics of Poincaré Recurrences in Hamiltonian Systems with Divided Phase Space
By different methods we show that for dynamical chaos in the standard map with critical golden curve the Poincar\'e recurrences P… 
1996
1996
Renormalization of correlations and spectra of a strange non-chaotic attractor
We study a simple nonlinear mapping with a strange nonchaotic attractor characterized by a singular continuous power spectrum. We… 
Highly Cited
1992
Highly Cited
1992
Topological and differential-equation methods for surface intersections
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