Class information for:
Level 1: CIRCLE HOMEOMORPHISM//ROTATION NUMBER//CRITICAL CIRCLE MAPS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8275 1272 21.3 46%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
197 3       CHAOS//INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS//PHYSICS, MATHEMATICAL 53660
386 2             ERGODIC THEORY AND DYNAMICAL SYSTEMS//NONLINEARITY//TOPOLOGICAL ENTROPY 16977
8275 1                   CIRCLE HOMEOMORPHISM//ROTATION NUMBER//CRITICAL CIRCLE MAPS 1272

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 CIRCLE HOMEOMORPHISM authKW 109726 1% 57% 8
2 ROTATION NUMBER authKW 96634 2% 15% 27
3 CRITICAL CIRCLE MAPS authKW 96017 0% 100% 4
4 CONJUGATING MAP authKW 72012 0% 100% 3
5 FEIGENBAUMS FUNCTIONAL EQUATION authKW 72012 0% 100% 3
6 CIRCLE DIFFEOMORPHISMS authKW 61897 1% 37% 7
7 DISSIPATIVE STANDARD MAP authKW 54008 0% 75% 3
8 ASYMMETRICAL ORBITS authKW 48008 0% 100% 2
9 CONSERVATIVE DYNAMIC SYSTEMS authKW 48008 0% 100% 2
10 DISSIPATIVE SPIN ORBIT PROBLEM authKW 48008 0% 100% 2

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Physics, Mathematical 20595 36% 0% 453
2 Physics, Multidisciplinary 8399 38% 0% 479
3 Mathematics, Applied 6613 29% 0% 371
4 Mathematics 2070 19% 0% 236
5 Mathematics, Interdisciplinary Applications 452 5% 0% 60
6 Physics, Atomic, Molecular & Chemical 334 8% 0% 97
7 Optics 286 8% 0% 97
8 Physics, Fluids & Plasmas 212 4% 0% 47
9 Mechanics 5 2% 0% 23
10 Astronomy & Astrophysics 3 2% 0% 28

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ANAL NON LINEARE GEOMETRIE 24004 0% 100% 1
2 ANDALUZ CIENICAS DE LA TIERRA 24004 0% 100% 1
3 CNRS D1169 24004 0% 100% 1
4 CNRSUMR AU 8524 24004 0% 100% 1
5 DIPT MATEMAT 24004 0% 100% 1
6 JLU GT JOINT THEORET SCI 24004 0% 100% 1
7 KOLLDZH STATE EDUC SCI 24004 0% 100% 1
8 LANDAU THEROET PHYS 24004 0% 100% 1
9 MATEMAT IMERL 24004 0% 100% 1
10 MEIOS POROSOS PROPRIEDADES TERMOFAS 24004 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 NONLINEARITY 40388 6% 2% 74
2 PHYSICA D-NONLINEAR PHENOMENA 22357 6% 1% 77
3 PHYSICA D 14226 2% 3% 21
4 PHYSICS LETTERS A 12570 10% 0% 131
5 COMMUNICATIONS IN MATHEMATICAL PHYSICS 9856 5% 1% 58
6 ERGODIC THEORY AND DYNAMICAL SYSTEMS 8361 2% 1% 29
7 PROGRESS OF THEORETICAL PHYSICS 6818 3% 1% 41
8 JOURNAL OF STATISTICAL PHYSICS 4586 3% 0% 39
9 CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY 2953 1% 1% 15
10 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 2907 2% 0% 26

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 CIRCLE HOMEOMORPHISM 109726 1% 57% 8 Search CIRCLE+HOMEOMORPHISM Search CIRCLE+HOMEOMORPHISM
2 ROTATION NUMBER 96634 2% 15% 27 Search ROTATION+NUMBER Search ROTATION+NUMBER
3 CRITICAL CIRCLE MAPS 96017 0% 100% 4 Search CRITICAL+CIRCLE+MAPS Search CRITICAL+CIRCLE+MAPS
4 CONJUGATING MAP 72012 0% 100% 3 Search CONJUGATING+MAP Search CONJUGATING+MAP
5 FEIGENBAUMS FUNCTIONAL EQUATION 72012 0% 100% 3 Search FEIGENBAUMS+FUNCTIONAL+EQUATION Search FEIGENBAUMS+FUNCTIONAL+EQUATION
6 CIRCLE DIFFEOMORPHISMS 61897 1% 37% 7 Search CIRCLE+DIFFEOMORPHISMS Search CIRCLE+DIFFEOMORPHISMS
7 DISSIPATIVE STANDARD MAP 54008 0% 75% 3 Search DISSIPATIVE+STANDARD+MAP Search DISSIPATIVE+STANDARD+MAP
8 ASYMMETRICAL ORBITS 48008 0% 100% 2 Search ASYMMETRICAL+ORBITS Search ASYMMETRICAL+ORBITS
9 CONSERVATIVE DYNAMIC SYSTEMS 48008 0% 100% 2 Search CONSERVATIVE+DYNAMIC+SYSTEMS Search CONSERVATIVE+DYNAMIC+SYSTEMS
10 DISSIPATIVE SPIN ORBIT PROBLEM 48008 0% 100% 2 Search DISSIPATIVE+SPIN+ORBIT+PROBLEM Search DISSIPATIVE+SPIN+ORBIT+PROBLEM

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 CHANDRE, C , JAUSLIN, HR , (2002) RENORMALIZATION-GROUP ANALYSIS FOR THE TRANSITION TO CHAOS IN HAMILTONIAN SYSTEMS.PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS. VOL. 365. ISSUE 1. P. 1-64 54 84% 31
2 DE LA LLAVE, R , OLVERA, A , PETROV, NP , (2011) COMBINATION LAWS FOR SCALING EXPONENTS AND RELATION TO THE GEOMETRY OF RENORMALIZATION OPERATORS THE PRINCIPLE OF APPROXIMATE COMBINATION OF SCALING EXPONENTS.JOURNAL OF STATISTICAL PHYSICS. VOL. 143. ISSUE 5. P. 889 -920 39 89% 1
3 KHANIN, K , KHMELEV, D , (2003) RENORMALIZATIONS AND RIGIDITY THEORY FOR CIRCLE HOMEOMORPHISMS WITH SINGULARITIES OF THE BREAK TYPE.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 235. ISSUE 1. P. 69 -124 41 93% 24
4 GAIDASHEV, DG , (2011) PERIOD DOUBLING RENORMALIZATION FOR AREA-PRESERVING MAPS AND MILD COMPUTER ASSISTANCE IN CONTRACTION MAPPING PRINCIPLE.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. VOL. 21. ISSUE 11. P. 3217-3230 32 94% 2
5 KUZNETSOV, SP , KUZNETSOV, AP , SATAEV, IR , (2005) MULTIPARAMETER CRITICAL SITUATIONS, UNIVERSALITY AND SCALING IN TWO-DIMENSIONAL PERIOD-DOUBLING MAPS.JOURNAL OF STATISTICAL PHYSICS. VOL. 121. ISSUE 5-6. P. 697 -748 57 59% 16
6 GAIDASHEV, D , JOHNSON, T , (2016) SPECTRAL PROPERTIES OF RENORMALIZATION FOR AREA-PRESERVING MAPS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 36. ISSUE 7. P. 3651 -3675 25 100% 0
7 CELLETTI, A , CHIERCHIA, L , (2007) KAM STABILITY AND CELESTIAL MECHANICS.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 187. ISSUE 878. P. 1 -+ 48 58% 10
8 GAIDASHEV, D , KOCH, H , (2011) PERIOD DOUBLING IN AREA-PRESERVING MAPS: AN ASSOCIATED ONE-DIMENSIONAL PROBLEM.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 31. ISSUE . P. 1193-1228 27 90% 3
9 GAIDASHEV, D , JOHNSON, T , MARTENS, M , (2016) RIGIDITY FOR INFINITELY RENORMALIZABLE AREA-PRESERVING MAPS.DUKE MATHEMATICAL JOURNAL. VOL. 165. ISSUE 1. P. 129 -159 23 85% 1
10 ADOUANI, A , (2016) CONJUGATION BETWEEN CIRCLE MAPS WITH SEVERAL BREAK POINTS.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 36. ISSUE . P. 2351 -2383 19 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 15449 STOCHASTIC SENSITIVITY//STOCHASTIC SENSITIVITY FUNCTION//TYPE II INTERMITTENCY
2 24887 NONTWIST MAPS//ROBUST TORI//DEGENERATE RESONANCES
3 16171 SHARKOVSKIIS THEOREM//VERTEX MAPS//INTERVAL MAPS
4 18169 STRANGE NONCHAOTIC ATTRACTORS//QUASIPERIODICALLY FORCED SYSTEMS//ARNOLD RESONANCE WEB
5 9161 KAM THEORY//ARNOLD DIFFUSION//KAM ITERATION
6 15360 LOCAL LYAPUNOV EXPONENT//LOCAL EXPANSION RATE//MEAN LYAPUNOV EXPONENT
7 25932 MULTISCALE SIMULAT//GRP ETUD SYST NON LINEAI PLICAT//BVP OSCILLATOR
8 13791 WADA BASIN BOUNDARY//INTERTWINED BASINS//WADA BASINS
9 13940 ANNNI MODEL//CHIRAL XY MODEL//CI TRANSITION
10 23995 ITERATIVE ROOT//ITERATIVE FUNCTIONAL EQUATION//ITERATION SEMIGROUP

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