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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 tongue
Cantor set
Herman ring
Iterated function
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2013
2013
Absence of robust rigidity for circle maps with breaks
K. Khanin
,
S. Kocić
2013
Corpus ID: 58921280
Highly Cited
2011
Highly Cited
2011
First Steps Towards a Symplectic Dynamics
Barney Bramham
,
H. Hofer
2011
Corpus ID: 55693275
Many interesting physical systems have mathematical descriptions as finite-dimensional or infinite-dimensional Hamiltonian…
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2007
2007
Computing Arnol′d tongue scenarios
Frank Schilder
,
Bruce B. Peckham
Journal of Computational Physics
2007
Corpus ID: 383706
2003
2003
EURASIP Journal on Applied Signal Processing 2003:13, 1306–1316 c ○ 2003 Hindawi Publishing Corporation VLSI Design of a Variable-Length FFT/IFFT Processor for OFDM-Based Communication Systems
2003
Corpus ID: 2881082
Review
2000
Review
2000
Magnetic field lines, Hamiltonian dynamics, and nontwist systems
P. Morrison
2000
Corpus ID: 39010451
Magnetic field lines typically do not behave as described in the symmetrical situations treated in conventional physics textbooks…
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Highly Cited
1999
Highly Cited
1999
Asymptotic Statistics of Poincaré Recurrences in Hamiltonian Systems with Divided Phase Space
B. Chirikov
,
D. Shepelyansky
1999
Corpus ID: 40093598
By different methods we show that for dynamical chaos in the standard map with critical golden curve the Poincar\'e recurrences P…
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Highly Cited
1996
Highly Cited
1996
Area preserving nontwist maps: periodic orbits and transition to chaos
D. del-Castillo-Negrete
,
J. M. Greene
,
P. Morrison
1996
Corpus ID: 11592444
1996
1996
Prediction of Turbulent Flow and Heat Transfer in Rotating Square and Rectangular Smooth Channels
S. Dutta
,
M. Andrews
,
Je-Chin Han
1996
Corpus ID: 54005624
A two-equation turbulence model with additional terms for Coriolis and rotational buoyancy has been used for prediction of heat…
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Highly Cited
1992
Highly Cited
1992
Topological and differential-equation methods for surface intersections
G. Kriezis
,
N. Patrikalakis
,
Franz-Erich Wolter
Comput. Aided Des.
1992
Corpus ID: 29867966
Highly Cited
1989
Highly Cited
1989
Realizing rotation vectors for torus homeomorphisms
J. Franks
1989
Corpus ID: 122410507
We consider the rotation set p(F) for a lift F of a homeomorphism f: T2 -_ T2, which is homotopic to the identity. Our main…
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