Class information for:
Level 1: ERGODIC INVARIANTS//ERGODIC PARAMETERS//GRADIENT HAMILTONIAN DECOMPOSITION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
34768 107 18.8 35%


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
10 4 OPTICS//PHYSICS, PARTICLES & FIELDS//PHYSICS, MULTIDISCIPLINARY 1131262
299 3       PHYSICS, MATHEMATICAL//JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS//BACKLUND TRANSFORMATION 41113
127 2             PHYSICS, MATHEMATICAL//BACKLUND TRANSFORMATION//SOLITON SOLUTION 23959
34768 1                   ERGODIC INVARIANTS//ERGODIC PARAMETERS//GRADIENT HAMILTONIAN DECOMPOSITION 107

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 INVARIANTS authKW 285380 1% 100% 1
2 ERGODIC PARAMETERS authKW 285380 1% 100% 1
3 GRADIENT HAMILTONIAN DECOMPOSITION authKW 285380 1% 100% 1
4 INT SCI CONPUTING address 285380 1% 100% 1
5 LIE SERIES TECHNIQUE authKW 285380 1% 100% 1
6 POLYNOMIAL NET authKW 285380 1% 100% 1
7 RESONANT NONFINEARITIES authKW 285380 1% 100% 1
8 SYNCHRINIZATION authKW 285380 1% 100% 1
9 SYNCHRONIZATION AND CORRELATION authKW 285380 1% 100% 1
10 ZENTRUM INTERDISZIPLINDRE FOR address 285380 1% 100% 1

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 1406 52% 0% 56
2 Physics, Mathematical 412 18% 0% 19
3 Mathematics, Interdisciplinary Applications 78 7% 0% 7
4 Radiology, Nuclear Medicine & Medical Imaging 28 7% 0% 8
5 Physics, Particles & Fields 22 6% 0% 6
6 Chemistry, Physical 20 12% 0% 13
7 Physics, Atomic, Molecular & Chemical 8 5% 0% 5
8 Mechanics 6 4% 0% 4
9 Mathematics, Applied 4 4% 0% 4
10 Engineering, General 3 2% 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 INT SCI CONPUTING 285380 1% 100% 1
2 ZENTRUM INTERDISZIPLINDRE FOR 285380 1% 100% 1
3 BESOR EXPT STN 47562 1% 17% 1
4 GRP FIS MATEMAT 45048 6% 3% 6
5 COMPLEXO INTERDISCIPLINAR 39359 2% 7% 2
6 COMPUTAT SCI METHODS GRP 23780 1% 8% 1
7 INT SCI COMP 18115 2% 3% 2
8 MECATRON 5094 1% 2% 1
9 IPFN 2051 1% 1% 1
10 DEEC 1913 1% 1% 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 STRAHLENTHERAPIE 15414 6% 1% 6
2 HADRONIC JOURNAL 5805 3% 1% 3
3 ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES 2306 7% 0% 7
4 LETTERE AL NUOVO CIMENTO 1425 3% 0% 3
5 AMERICAN JOURNAL OF MEDICAL TECHNOLOGY 1212 1% 0% 1
6 JOURNAL OF MATHEMATICAL PHYSICS 1139 7% 0% 8
7 PHYSICS LETTERS A 1054 10% 0% 11
8 INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS 938 5% 0% 5
9 LETTERS IN MATHEMATICAL PHYSICS 803 3% 0% 3
10 NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS 726 2% 0% 2

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 ERGODIC INVARIANTS 285380 1% 100% 1 Search ERGODIC+INVARIANTS Search ERGODIC+INVARIANTS
2 ERGODIC PARAMETERS 285380 1% 100% 1 Search ERGODIC+PARAMETERS Search ERGODIC+PARAMETERS
3 GRADIENT HAMILTONIAN DECOMPOSITION 285380 1% 100% 1 Search GRADIENT+HAMILTONIAN+DECOMPOSITION Search GRADIENT+HAMILTONIAN+DECOMPOSITION
4 LIE SERIES TECHNIQUE 285380 1% 100% 1 Search LIE+SERIES+TECHNIQUE Search LIE+SERIES+TECHNIQUE
5 POLYNOMIAL NET 285380 1% 100% 1 Search POLYNOMIAL+NET Search POLYNOMIAL+NET
6 RESONANT NONFINEARITIES 285380 1% 100% 1 Search RESONANT+NONFINEARITIES Search RESONANT+NONFINEARITIES
7 SYNCHRINIZATION 285380 1% 100% 1 Search SYNCHRINIZATION Search SYNCHRINIZATION
8 SYNCHRONIZATION AND CORRELATION 285380 1% 100% 1 Search SYNCHRONIZATION+AND+CORRELATION Search SYNCHRONIZATION+AND+CORRELATION
9 DYNAMICAL INTEGRATION 142689 1% 50% 1 Search DYNAMICAL+INTEGRATION Search DYNAMICAL+INTEGRATION
10 FOCUSING MAGNETIC FIELD 95125 1% 33% 1 Search FOCUSING+MAGNETIC+FIELD Search FOCUSING+MAGNETIC+FIELD

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 MENDES, RV , (2006) NETWORK DYNAMICS: TOOLS AND EXAMPLES.NONLINEAR DYNAMICS. VOL. 44. ISSUE 1-4. P. 181 -204 14 35% 2
2 MENDES, RV , (2011) ERGODIC PARAMETERS AND DYNAMICAL COMPLEXITY.CHAOS. VOL. 21. ISSUE 3. P. - 8 29% 1
3 GOLDSTEIN, PP , (2007) HINTS ON THE HIROTA BILINEAR METHOD.ACTA PHYSICA POLONICA A. VOL. 112. ISSUE 6. P. 1171-1184 5 42% 2
4 STEEB, WH , OEVEL, W , STRAMPP, W , (1984) ON THE INTEGRABILITY OF NONLINEAR DIRAC EQUATIONS.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 25. ISSUE 7. P. 2331-2335 10 53% 4
5 GRAUEL, A , (1985) SINH-GORDON EQUATION, PAINLEVE PROPERTY AND BACKLUND TRANSFORMATION.PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS. VOL. 132. ISSUE 2-3. P. 557-568 9 53% 10
6 MENDES, RV , (2005) TOOLS FOR NETWORK DYNAMICS.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. VOL. 15. ISSUE 4. P. 1185 -1213 13 15% 4
7 KHATER, AH , MOUSSA, MHM , ABDUL-AZIZ, SF , (2001) THE INVARIANT VARIATIONAL PRINCIPLE AND EXACT SOLUTIONS FOR THE GENERALIZED STURM-LIOUVILLE EQUATION AND LINEAR DIRAC SYSTEM.NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS. VOL. 116. ISSUE 10. P. 1203 -1215 5 42% 2
8 KHATER, AH , CALLEBAUT, DK , RAMADY, AG , ABDUL-AZIZ, SF , (1997) ON THE INVARIANT VARIATIONAL PRINCIPLE FOR STURM-LIOUVILLE EQUATION, LINEAR AND NONLINEAR DIRAC SYSTEM.NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS. VOL. 110. ISSUE 11. P. 1297 -1311 5 45% 0
9 EULER, N , STEEB, WH , (1989) LIE-SYMMETRY VECTOR-FIELDS FOR LINEAR AND NONLINEAR-WAVE EQUATIONS.INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS. VOL. 28. ISSUE 11. P. 1397-1403 4 80% 0
10 ULMER, W , (1985) ON A UNIFIED TREATMENT OF KINETICS AND DIFFUSION, AND A CONNECTION TO A NONLOCAL BOLTZMANN-EQUATION.INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY. VOL. 27. ISSUE 2. P. 203-218 4 80% 1

Classes with closest relation at Level 1


Rank Class id link
1 16080 DIFFERENTIAL GALOIS THEORY//NON INTEGRABILITY//DIFFERENTIAL GALOIS GROUP
2 25983 GLOBAL EMBEDDING//PROLONGATION STRUCTURE//COVARIANT PROLONGATION STRUCTURE
3 34747 ASYMPTOTIC ANALYSIS ON THE LATTICE//ASYMPTOTICALLY EXACT REDUCTION METHOD//BIATOMIC LATTICES
4 19541 ISOTHERMAL MAGNETOSTATIC ATMOSPHERES//SELF DUAL SU2//BARGMANN MICHEL TELEGDI EQUATIONS
5 3538 NONLINEAR SELF ADJOINTNESS//CONSERVATION LAWS//EQUIVALENCE TRANSFORMATIONS
6 24477 COSMO PARTICLE PHYS COSM//EFFECTIVE LOCALITY//FUNCTIONAL TECHNIQUES
7 34444 NEUTRAL AND CHARGE CURRENTS//CHARGE AND NEUTRAL CURRENTS//LEPTONIC PROCESSES
8 79 SOLITARY WAVE SOLUTION//EXP FUNCTION METHOD//NONLINEAR EVOLUTION EQUATIONS
9 9284 PAINLEVE EQUATIONS//ISOMONODROMIC DEFORMATIONS//PAINLEVE HIERARCHY
10 27936 FUS STUDIES PROGRAM//UFR MATH PU PL//2D CUBIC SCHRODINGER EQUATION

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