Class information for:
Level 1: COMPACT INVARIANT SET//FINITE DIMENSIONAL POISSON SYSTEMS//QUASI POLYNOMIAL SYSTEMS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
20486 458 18.3 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
10 4 OPTICS//PHYSICS, PARTICLES & FIELDS//PHYSICS, MULTIDISCIPLINARY 1131262
299 3       PHYSICS, MATHEMATICAL//JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS//BACKLUND TRANSFORMATION 41113
1529 2             LIMIT CYCLE//ABELIAN INTEGRALS//ISOCHRONOUS CENTER 7469
20486 1                   COMPACT INVARIANT SET//FINITE DIMENSIONAL POISSON SYSTEMS//QUASI POLYNOMIAL SYSTEMS 458

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 COMPACT INVARIANT SET authKW 871154 3% 93% 14
2 FINITE DIMENSIONAL POISSON SYSTEMS authKW 533361 2% 100% 8
3 QUASI POLYNOMIAL SYSTEMS authKW 466691 2% 100% 7
4 RABINOVICH SYSTEM authKW 300012 1% 75% 6
5 HAMILTON POISSON SYSTEM authKW 277790 1% 83% 5
6 SEMINARUL GEOMETRIE TOPOL address 251289 2% 54% 7
7 DARBOUX POLYNOMIALS authKW 244442 2% 33% 11
8 CITEDI address 241967 3% 26% 14
9 JACOBI IDENTITIES authKW 238105 1% 71% 5
10 JACOBI PARTIAL DIFFERENTIAL EQUATIONS authKW 200010 1% 100% 3

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 8167 37% 0% 171
2 Mathematics, Applied 2708 31% 0% 142
3 Mathematics, Interdisciplinary Applications 2243 16% 0% 74
4 Physics, Multidisciplinary 1798 29% 0% 135
5 Mathematics 515 16% 0% 72
6 Mechanics 118 7% 0% 30
7 Geochemistry & Geophysics 54 4% 0% 17
8 Automation & Control Systems 34 2% 0% 10
9 Mathematical & Computational Biology 28 2% 0% 8
10 Physics, Fluids & Plasmas 26 2% 0% 11

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 SEMINARUL GEOMETRIE TOPOL 251289 2% 54% 7
2 CITEDI 241967 3% 26% 14
3 BLRW 66670 0% 100% 1
4 IBILCE SAO JOSE RIO PRETO 66670 0% 100% 1
5 MARINE FISHERIES SERV NE FISHERIES SCI 66670 0% 100% 1
6 MATEMAT ESTAT COMPUT 66670 0% 100% 1
7 MIRCEA PUTA 66670 0% 100% 1
8 PHILIPS IND ACT 66670 0% 100% 1
9 SEMINARUL GEOMET TOPOL 66670 0% 100% 1
10 SEMINURAL GEOMETRIE TOPOL 66670 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 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 19369 9% 1% 40
2 INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS 7367 3% 1% 12
3 BULLETIN DES SCIENCES MATHEMATIQUES 6629 2% 1% 11
4 DIFFERENTIAL EQUATIONS 5766 4% 0% 18
5 JOURNAL OF MATHEMATICAL PHYSICS 5094 8% 0% 35
6 PHYSICS LETTERS A 4888 11% 0% 49
7 PHYSICA D-NONLINEAR PHENOMENA 3769 4% 0% 19
8 BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS 2404 1% 1% 3
9 DYNAMICS AND STABILITY OF SYSTEMS 2182 0% 2% 2
10 JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 2015 5% 0% 22

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 COMPACT INVARIANT SET 871154 3% 93% 14 Search COMPACT+INVARIANT+SET Search COMPACT+INVARIANT+SET
2 FINITE DIMENSIONAL POISSON SYSTEMS 533361 2% 100% 8 Search FINITE+DIMENSIONAL+POISSON+SYSTEMS Search FINITE+DIMENSIONAL+POISSON+SYSTEMS
3 QUASI POLYNOMIAL SYSTEMS 466691 2% 100% 7 Search QUASI+POLYNOMIAL+SYSTEMS Search QUASI+POLYNOMIAL+SYSTEMS
4 RABINOVICH SYSTEM 300012 1% 75% 6 Search RABINOVICH+SYSTEM Search RABINOVICH+SYSTEM
5 HAMILTON POISSON SYSTEM 277790 1% 83% 5 Search HAMILTON+POISSON+SYSTEM Search HAMILTON+POISSON+SYSTEM
6 DARBOUX POLYNOMIALS 244442 2% 33% 11 Search DARBOUX+POLYNOMIALS Search DARBOUX+POLYNOMIALS
7 JACOBI IDENTITIES 238105 1% 71% 5 Search JACOBI+IDENTITIES Search JACOBI+IDENTITIES
8 JACOBI PARTIAL DIFFERENTIAL EQUATIONS 200010 1% 100% 3 Search JACOBI+PARTIAL+DIFFERENTIAL+EQUATIONS Search JACOBI+PARTIAL+DIFFERENTIAL+EQUATIONS
9 RIKITAKE TWO DYNAMO SYSTEM 200010 1% 100% 3 Search RIKITAKE+TWO+DYNAMO+SYSTEM Search RIKITAKE+TWO+DYNAMO+SYSTEM
10 INVARIANT ALGEBRAIC SURFACES 185190 1% 56% 5 Search INVARIANT+ALGEBRAIC+SURFACES Search INVARIANT+ALGEBRAIC+SURFACES

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 KRISHCHENKO, AP , (2016) GLOBAL ASYMPTOTIC STABILITY ANALYSIS BY THE LOCALIZATION METHOD OF INVARIANT COMPACT SETS.DIFFERENTIAL EQUATIONS. VOL. 52. ISSUE 11. P. 1403 -1410 20 95% 0
2 HERNANDEZ-BERMEJO, B , (2008) CHARACTERIZATION, GLOBAL ANALYSIS AND INTEGRABILITY OF A FAMILY OF POISSON STRUCTURES.PHYSICS LETTERS A. VOL. 372. ISSUE 7. P. 1009-1017 23 88% 1
3 KANATNIKOV, AN , (2015) LOCALIZATION OF INVARIANT COMPACT SETS IN DIFFERENTIAL INCLUSIONS.DIFFERENTIAL EQUATIONS. VOL. 51. ISSUE 11. P. 1425 -1431 16 100% 0
4 HERNANDEZ-BERMEJO, B , (2011) GENERALIZATION OF THE SEPARATION OF VARIABLES IN THE JACOBI IDENTITIES FOR FINITE-DIMENSIONAL POISSON SYSTEMS.PHYSICS LETTERS A. VOL. 375. ISSUE 19. P. 1972 -1975 20 83% 1
5 HERNANDEZ-BERMEJO, B , (2012) NEW GLOBAL SOLUTIONS OF THE JACOBI PARTIAL DIFFERENTIAL EQUATIONS.PHYSICA D-NONLINEAR PHENOMENA. VOL. 241. ISSUE 7. P. 764 -774 26 62% 1
6 HERNANDEZ-BERMEJO, B , (2008) GENERALIZATION OF SOLUTIONS OF THE JACOBI PDES ASSOCIATED TO TIME REPARAMETRIZATIONS OF POISSON SYSTEMS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 344. ISSUE 2. P. 655 -666 24 65% 2
7 HERNANDEZ-BERMEJO, B , (2006) CHARACTERIZATION AND GLOBAL ANALYSIS OF A FAMILY OF POISSON STRUCTURES.PHYSICS LETTERS A. VOL. 355. ISSUE 2. P. 98-103 21 72% 2
8 KRISHCHENKO, AP , (2015) LOCALIZATION OF SIMPLE AND COMPLEX DYNAMICS IN NONLINEAR SYSTEMS.DIFFERENTIAL EQUATIONS. VOL. 51. ISSUE 11. P. 1432 -1439 13 87% 1
9 KANATNIKOV, AN , KRISHCHENKO, AP , (2011) LOCALIZATION OF COMPACT INVARIANT SETS OF DISCRETE-TIME NONLINEAR SYSTEMS.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. VOL. 21. ISSUE 7. P. 2057 -2065 14 88% 7
10 EMEL'YANOV, SV , KANATNIKOV, AN , KRISHCHENKO, AP , (2016) LOCALIZATION OF INVARIANT COMPACT SETS OF FAMILIES OF DISCRETE-TIME SYSTEMS.DOKLADY MATHEMATICS. VOL. 93. ISSUE 2. P. 241 -242 11 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 16080 DIFFERENTIAL GALOIS THEORY//NON INTEGRABILITY//DIFFERENTIAL GALOIS GROUP
2 30193 KCC THEORY//JACOBI STABILITY//VOLTERRA HAMILTON SYSTEMS
3 2324 LIMIT CYCLE//ABELIAN INTEGRALS//ISOCHRONOUS CENTER
4 3776 HIDDEN ATTRACTOR//HYPERCHAOS//CIRCUIT IMPLEMENTATION
5 33509 SCALING AND SQUARING TECHNIQUE//DC POWER CONVERSION//STATIC INVERTER
6 10630 LIE SYSTEM//GEODYSYC//SUPERPOSITION RULE
7 13969 CARRYING SIMPLEX//MONOTONE SKEW PRODUCT SEMIFLOWS//EXPONENTIAL SEPARATION
8 32967 NONLINEAR DYNAM SYST//ATOMIC FRACTALS//NONLINEAR DYNAM SCI
9 22542 NONEQUILIBRIUM THERMODYNAMICS//EXCELLENCE POLYMER SCI ENGN//LAGRANGIAN TO EULERIAN TRANSFORMATION
10 30536 DESIGN TECHNOL ELECT SYST//PL MATH INFORMAT CONTROL//PERMANENT MAGNET SYNCHRONOUS MOTOR

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