Class information for:
Level 2: ERGODIC THEORY AND DYNAMICAL SYSTEMS//NONLINEARITY//TOPOLOGICAL ENTROPY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
386 16977 21.4 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
3600 1                   ABSOLUTELY CONTINUOUS INVARIANT MEASURES//FROBENIUS PERRON OPERATOR//ERGODIC THEORY AND DYNAMICAL SYSTEMS 1947
6632 1                   INVERSE LIMIT//DISTRIBUTIONAL CHAOS//TOPOLOGICAL ENTROPY 1462
6860 1                   LORENTZ GAS//BILLIARDS//ESTAT MATEMAT LICADA COMPUTACAO 1435
8023 1                   DOMINATED SPLITTING//HOMOCLINIC CLASS//PARTIAL HYPERBOLICITY 1301
8275 1                   CIRCLE HOMEOMORPHISM//ROTATION NUMBER//CRITICAL CIRCLE MAPS 1272
9161 1                   KAM THEORY//ARNOLD DIFFUSION//KAM ITERATION 1182
11352 1                   LOSS MODULATION//TODA OSCILLATOR//MODE LOCKING PROCESS 988
13791 1                   WADA BASIN BOUNDARY//INTERTWINED BASINS//WADA BASINS 813
14916 1                   CONLEY INDEX//RIGOROUS NUMERICS//COMPUTER ASSISTED PROOF 742
15360 1                   LOCAL LYAPUNOV EXPONENT//LOCAL EXPANSION RATE//MEAN LYAPUNOV EXPONENT 717
15449 1                   STOCHASTIC SENSITIVITY//STOCHASTIC SENSITIVITY FUNCTION//TYPE II INTERMITTENCY 712
15600 1                   ORBIT FLIP//INCLINATION FLIP//T POINT 703
16171 1                   SHARKOVSKIIS THEOREM//VERTEX MAPS//INTERVAL MAPS 669
16933 1                   CANARDS//MIXED MODE OSCILLATIONS//SLOW FAST SYSTEM 626
17854 1                   RADIOTEKHNIKA I ELEKTRONIKA//JOURNAL OF COMMUNICATIONS TECHNOLOGY AND ELECTRONICS//CHAOTIC RADIO PULSE 579
18169 1                   STRANGE NONCHAOTIC ATTRACTORS//QUASIPERIODICALLY FORCED SYSTEMS//ARNOLD RESONANCE WEB 563
21424 1                   ROTATION SET//PSEUDO CIRCLE//TORUS HOMEOMORPHISMS 419
21525 1                   MORSE SMALE DIFFEOMORPHISM//MATH 4408//NMS SYSTEMS 415
25932 1                   MULTISCALE SIMULAT//GRP ETUD SYST NON LINEAI PLICAT//BVP OSCILLATOR 268
30731 1                   SMALE WILLIAMS SOLENOID//KOTELNIKOVS RADIOENGN ELECT//COVERING MOVE 164

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 ERGODIC THEORY AND DYNAMICAL SYSTEMS journal 400441 4% 31% 732
2 NONLINEARITY journal 233032 4% 20% 650
3 TOPOLOGICAL ENTROPY authKW 189343 1% 50% 210
4 PHYSICS, MATHEMATICAL WoSSC 149549 26% 2% 4493
5 CONLEY INDEX authKW 134891 1% 72% 104
6 MATHEMATICS, APPLIED WoSSC 134601 36% 1% 6056
7 KAM THEORY authKW 125277 1% 62% 113
8 MATHEMATICS WoSSC 124611 37% 1% 6358
9 DOMINATED SPLITTING authKW 118678 0% 97% 68
10 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS journal 102841 3% 13% 438

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 149549 26% 2% 4493
2 Mathematics, Applied 134601 36% 1% 6056
3 Mathematics 124611 37% 1% 6358
4 Physics, Multidisciplinary 27938 20% 1% 3356
5 Mathematics, Interdisciplinary Applications 12172 6% 1% 1102
6 Physics, Fluids & Plasmas 5896 5% 0% 861
7 Optics 1565 5% 0% 927
8 Physics, Atomic, Molecular & Chemical 549 4% 0% 614
9 Mechanics 502 3% 0% 504
10 Telecommunications 347 2% 0% 315

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 MATH 56624 22% 1% 3772
2 MATEMAT 31557 4% 3% 730
3 IMERL 29918 0% 56% 30
4 MATEMAT LICADA ANAL 26539 0% 18% 83
5 KOTELNIKOVS RADIOENGN ELECT 20898 0% 73% 16
6 KM FSV 20239 0% 87% 13
7 ESTAT MATEMAT LICADA COMPUTACAO 17999 0% 53% 19
8 ESTAT MATEMAT LICADA COMP 17624 0% 55% 18
9 NONLINEAR PHENOMENA COMPLEX SYST 16434 0% 13% 71
10 TOPOL 16362 0% 24% 38

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 ERGODIC THEORY AND DYNAMICAL SYSTEMS 400441 4% 31% 732
2 NONLINEARITY 233032 4% 20% 650
3 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 102841 3% 13% 438
4 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 102452 3% 10% 562
5 DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 72537 1% 31% 131
6 PHYSICA D-NONLINEAR PHENOMENA 50535 3% 7% 425
7 CHAOS 47026 2% 9% 310
8 SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 35491 1% 17% 118
9 REGULAR & CHAOTIC DYNAMICS 33153 1% 17% 112
10 COMMUNICATIONS IN MATHEMATICAL PHYSICS 29183 2% 5% 367

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 TOPOLOGICAL ENTROPY 189343 1% 50% 210 Search TOPOLOGICAL+ENTROPY Search TOPOLOGICAL+ENTROPY
2 CONLEY INDEX 134891 1% 72% 104 Search CONLEY+INDEX Search CONLEY+INDEX
3 KAM THEORY 125277 1% 62% 113 Search KAM+THEORY Search KAM+THEORY
4 DOMINATED SPLITTING 118678 0% 97% 68 Search DOMINATED+SPLITTING Search DOMINATED+SPLITTING
5 HOMOCLINIC CLASS 91630 0% 100% 51 Search HOMOCLINIC+CLASS Search HOMOCLINIC+CLASS
6 PARTIAL HYPERBOLICITY 91080 0% 85% 60 Search PARTIAL+HYPERBOLICITY Search PARTIAL+HYPERBOLICITY
7 CANARDS 82471 0% 71% 65 Search CANARDS Search CANARDS
8 INTERVAL MAPS 81423 0% 68% 67 Search INTERVAL+MAPS Search INTERVAL+MAPS
9 INVARIANT TORI 80636 0% 58% 77 Search INVARIANT+TORI Search INVARIANT+TORI
10 INVERSE LIMIT 79676 1% 47% 94 Search INVERSE+LIMIT Search INVERSE+LIMIT

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 DETTMANN, CP , (2014) DIFFUSION IN THE LORENTZ GAS.COMMUNICATIONS IN THEORETICAL PHYSICS. VOL. 62. ISSUE 4. P. 521 -540 126 74% 10
2 LI, J , YE, XD , (2016) RECENT DEVELOPMENT OF CHAOS THEORY IN TOPOLOGICAL DYNAMICS.ACTA MATHEMATICA SINICA-ENGLISH SERIES. VOL. 32. ISSUE 1. P. 83 -114 69 100% 2
3 VAN STRIEN, S , (2010) ONE-DIMENSIONAL DYNAMICS IN THE NEW MILLENNIUM.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 27. ISSUE 2. P. 557 -588 78 92% 4
4 GONCHENKO, SV , GONEHENKO, AS , OVSYANNIKOV, II , TURAEV, DV , (2013) EXAMPLES OF LORENZ-LIKE ATTRACTORS IN HENON-LIKE MAPS.MATHEMATICAL MODELLING OF NATURAL PHENOMENA. VOL. 8. ISSUE 5. P. 48 -70 65 93% 3
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 83 86% 16
6 ZHANG, YX , (2013) STRANGE NONCHAOTIC ATTRACTORS WITH WADA BASINS.PHYSICA D-NONLINEAR PHENOMENA. VOL. 259. ISSUE . P. 26-36 61 97% 0
7 ROLDAN, E , DEVALCARCEL, GJ , VILASECA, R , CORBALAN, R , MARTINEZ, VJ , GILMORE, R , (1997) THE DYNAMICS OF OPTICALLY PUMPED MOLECULAR LASERS. ON ITS RELATION WITH THE LORENZ-HAKEN MODEL.QUANTUM AND SEMICLASSICAL OPTICS. VOL. 9. ISSUE 1. P. R1 -R35 106 88% 5
8 ARAUJO, V , GALATOLO, S , PACIFICO, MJ , (2014) STATISTICAL PROPERTIES OF LORENZ-LIKE FLOWS, RECENT DEVELOPMENTS AND PERSPECTIVES.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. VOL. 24. ISSUE 10. P. - 60 95% 0
9 LESSARD, JP , JAMES, JDM , RANSFORD, J , (2016) AUTOMATIC DIFFERENTIATION FOR FOURIER SERIES AND THE RADII POLYNOMIAL APPROACH.PHYSICA D-NONLINEAR PHENOMENA. VOL. 334. ISSUE . P. 174 -186 58 87% 1
10 SEOANE, JM , SANJUAN, MAF , (2013) NEW DEVELOPMENTS IN CLASSICAL CHAOTIC SCATTERING.REPORTS ON PROGRESS IN PHYSICS. VOL. 76. ISSUE 1. P. - 101 50% 22

Classes with closest relation at Level 2


Rank Class id link
1 2775 JULIA SET//MANDELBROT SET//FRACTAL INTERPOLATION FUNCTIONS
2 219 CHAOS//CHAOTIC SYSTEM//INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
3 1519 STOCHASTIC AVERAGING//BORDER COLLISION BIFURCATION//NONLINEAR ENERGY SINK
4 1098 HAUSDORFF DIMENSION//ERGODIC THEORY AND DYNAMICAL SYSTEMS//MATHEMATICS
5 1685 QUANTUM CHAOS//PHYSICS, MATHEMATICAL//NONLINEAR DYNAM SYST
6 3494 RIGGED HILBERT SPACE//STUDIES STAT MECH COMPLEX SYST//SUBDYNAMICS
7 2047 NIELSEN NUMBER//MATHEMATICS//TEICHMULLER SPACE
8 2541 ROTATING PACKED BED//MICROMIXING//CHAOTIC ADVECTION
9 2434 HAMILTON JACOBI EQUATION//MEAN FIELD GAMES//VISCOSITY SOLUTIONS
10 1174 DOUBLE DIFFUSIVE CONVECTION//FARADAY WAVES//UGC ADV STUDIES FLUID MECH

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