Class information for:
Level 1: LOCAL LYAPUNOV EXPONENT//LOCAL EXPANSION RATE//MEAN LYAPUNOV EXPONENT

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15360 717 21.8 55%


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
15360 1                   LOCAL LYAPUNOV EXPONENT//LOCAL EXPANSION RATE//MEAN LYAPUNOV EXPONENT 717

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 LOCAL LYAPUNOV EXPONENT authKW 202903 1% 53% 9
2 LOCAL EXPANSION RATE authKW 191635 1% 75% 6
3 MEAN LYAPUNOV EXPONENT authKW 170341 1% 67% 6
4 DRIVEN DAMPED PENDULUM authKW 127759 0% 100% 3
5 MULTIFRACTAL PARAMETERIZATION authKW 127759 0% 100% 3
6 A2B6 SEMICONDUCTOR FILMS authKW 85173 0% 100% 2
7 CHAOS VISCOSITY authKW 85173 0% 100% 2
8 METHODENVALIDIERUNG authKW 85173 0% 100% 2
9 NAHRMEDIENPRUFUNG authKW 85173 0% 100% 2
10 NIOBATE FERROELECTRIC CERAMICS authKW 85173 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, Multidisciplinary 7675 47% 0% 340
2 Physics, Mathematical 6333 26% 0% 190
3 Physics, Atomic, Molecular & Chemical 507 12% 0% 83
4 Optics 418 11% 0% 81
5 Physics, Fluids & Plasmas 344 6% 0% 42
6 Mathematics, Applied 178 8% 0% 54
7 Mathematics, Interdisciplinary Applications 128 3% 0% 25
8 Physics, Condensed Matter 48 7% 0% 47
9 Microscopy 2 0% 0% 2
10 Materials Science, Characterization, Testing 1 0% 0% 2

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 COAL DEPOSIT EXPLORAT PROBLEM 42586 0% 100% 1
2 DEUT HAUS USSES ARZNEI GEWURZ AROM FLA 42586 0% 100% 1
3 DIAGNOST X RAY UNIT 42586 0% 100% 1
4 GEMIE PROCEDES PLASMAS TRAITEMENTS SUR E 42586 0% 100% 1
5 KNEIPP WERKE 42586 0% 100% 1
6 MATEMAT COMPTACAO COGNICAO 42586 0% 100% 1
7 NAT UNDIG 42586 0% 100% 1
8 SEMINARANBIETERS 42586 0% 100% 1
9 THEORET PHYS PUSKIN U 57 42586 0% 100% 1
10 PL ANAL COMPLEX DYNAM SYST 39090 2% 7% 13

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 PROGRESS OF THEORETICAL PHYSICS 33533 9% 1% 68
2 JOURNAL OF STATISTICAL PHYSICS 10926 6% 1% 45
3 PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 6489 8% 0% 55
4 PHYSICS LETTERS A 4196 8% 0% 57
5 JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 3646 5% 0% 37
6 PHYSICAL REVIEW A 3352 10% 0% 73
7 PHARMAZEUTISCHE INDUSTRIE 3029 1% 1% 9
8 PHYSICA A 2160 1% 1% 6
9 PHYSICA D-NONLINEAR PHENOMENA 2146 3% 0% 18
10 PHYSICA D 2054 1% 1% 6

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 LOCAL LYAPUNOV EXPONENT 202903 1% 53% 9 Search LOCAL+LYAPUNOV+EXPONENT Search LOCAL+LYAPUNOV+EXPONENT
2 LOCAL EXPANSION RATE 191635 1% 75% 6 Search LOCAL+EXPANSION+RATE Search LOCAL+EXPANSION+RATE
3 MEAN LYAPUNOV EXPONENT 170341 1% 67% 6 Search MEAN+LYAPUNOV+EXPONENT Search MEAN+LYAPUNOV+EXPONENT
4 DRIVEN DAMPED PENDULUM 127759 0% 100% 3 Search DRIVEN+DAMPED+PENDULUM Search DRIVEN+DAMPED+PENDULUM
5 MULTIFRACTAL PARAMETERIZATION 127759 0% 100% 3 Search MULTIFRACTAL+PARAMETERIZATION Search MULTIFRACTAL+PARAMETERIZATION
6 A2B6 SEMICONDUCTOR FILMS 85173 0% 100% 2 Search A2B6+SEMICONDUCTOR+FILMS Search A2B6+SEMICONDUCTOR+FILMS
7 CHAOS VISCOSITY 85173 0% 100% 2 Search CHAOS+VISCOSITY Search CHAOS+VISCOSITY
8 METHODENVALIDIERUNG 85173 0% 100% 2 Search METHODENVALIDIERUNG Search METHODENVALIDIERUNG
9 NAHRMEDIENPRUFUNG 85173 0% 100% 2 Search NAHRMEDIENPRUFUNG Search NAHRMEDIENPRUFUNG
10 NIOBATE FERROELECTRIC CERAMICS 85173 0% 100% 2 Search NIOBATE+FERROELECTRIC+CERAMICS Search NIOBATE+FERROELECTRIC+CERAMICS

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 KOVACS, Z , TEL, T , (1992) BIVARIATE THERMODYNAMICS OF MULTIFRACTALS AS AN EIGENVALUE PROBLEM.PHYSICAL REVIEW A. VOL. 45. ISSUE 4. P. 2270 -2284 68 73% 24
2 CSORDAS, A , GEZA, G , SZEPFALUSY, P , TEL, T , (1993) STATISTICAL PROPERTIES OF CHAOS DEMONSTRATED IN A CLASS OF ONE-DIMENSIONAL MAPS.CHAOS. VOL. 3. ISSUE 1. P. 31 -49 67 61% 26
3 SZEPFALUSY, P , TEL, T , VATTAY, G , (1991) THERMODYNAMICS OF LORENZ-TYPE MAPS.PHYSICAL REVIEW A. VOL. 43. ISSUE 2. P. 681-692 45 78% 6
4 SHIGEMATSU, H , (1990) STATISTICAL-THERMODYNAMIC APPROACH TO A CHAOTIC DYNAMIC SYSTEM - EXACTLY SOLVABLE EXAMPLES.JOURNAL OF STATISTICAL PHYSICS. VOL. 59. ISSUE 1-2. P. 257-297 35 85% 3
5 PENTEK, A , TOROCZKAI, Z , MAYER, DH , TEL, T , (1994) KAC MODEL FROM A DYNAMICAL-SYSTEMS POINT-OF-VIEW.PHYSICAL REVIEW E. VOL. 49. ISSUE 3. P. 2026 -2040 37 66% 1
6 FUJISAKA, H , INOUE, M , (1989) THERMODYNAMICS, TEMPORAL CORRELATIONS AND SCALING LAWS.PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT. VOL. . ISSUE 99. P. 82-94 34 89% 1
7 YOSHIDA, T , MIYAZAKI, S , MORI, H , KOBAYASHI, T , HORITA, T , HATA, H , (1989) THE Q-PHASE TRANSITION AND CRITICAL SCALING LAWS NEAR THE BAND-CRISIS POINT OF CHAOTIC ATTRACTORS.PROGRESS OF THEORETICAL PHYSICS. VOL. 82. ISSUE 5. P. 879-896 34 85% 10
8 YOSHIDA, T , MIYAZAKI, S , (1989) GLOBAL BIFURCATIONS AND FLUCTUATION SPECTRA OF LOCAL EXPANSION RATES IN NONLINEAR DYNAMIC-SYSTEMS.PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT. VOL. . ISSUE 99. P. 64-81 32 91% 3
9 JUST, W , FUJISAKA, H , (1992) ON THE SCALING LAWS OF HIGHER-ORDER Q-PHASE TRANSITIONS.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. VOL. 25. ISSUE 12. P. 3567-3592 26 96% 2
10 FUJISAKA, H , SHIBATA, H , (1991) NEW ASYMPTOTIC LAW GOVERNING OVERALL TEMPORAL CORRELATIONS IN CHAOTIC SYSTEMS - ENSEMBLE HOMOGENIZATION AND ORDER-Q POWER SPECTRUM.PROGRESS OF THEORETICAL PHYSICS. VOL. 85. ISSUE 2. P. 187-204 27 90% 15

Classes with closest relation at Level 1


Rank Class id link
1 15449 STOCHASTIC SENSITIVITY//STOCHASTIC SENSITIVITY FUNCTION//TYPE II INTERMITTENCY
2 13791 WADA BASIN BOUNDARY//INTERTWINED BASINS//WADA BASINS
3 8275 CIRCLE HOMEOMORPHISM//ROTATION NUMBER//CRITICAL CIRCLE MAPS
4 1362 CORRELATION DIMENSION//SURROGATE DATA//CHAOS
5 37179 PL MATH BIOSCI MED CAMBAM//CORRECTIONS TO GAUSSIAN BEHAVIOR//DIFFERENTIAL DELAY EQUATION DDE
6 6382 DIFFUSION LIMITED AGGREGATION//DLA//THIN CELLS
7 36119 FINE MAGNETIC PANICLES//MULTILEG LADDER//MULTILEG TUBE
8 6860 LORENTZ GAS//BILLIARDS//ESTAT MATEMAT LICADA COMPUTACAO
9 2811 HAUSDORFF DIMENSION//SELF SIMILAR SET//ITERATED FUNCTION SYSTEM
10 32107 AVOIDABLE SETS//RANDOM FIBONACCI SEQUENCE//RANDOM FIBONACCI SEQUENCES

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