Class information for:
Level 2: HILBERTS 16TH PROBLEM//ISOCHRONOUS CENTER//CENTER FOCUS PROBLEM

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
1462 7242 19.5 40%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)


ID, lev.
above		 Publications Label for level above
613 11147 MEI SYMMETRY//MATH MECH MATH PHYS//CONSERVED QUANTITY

Classes in level below (level 1)


ID, lev. below Publications Label for level below
2408 2185 HILBERTS 16TH PROBLEM//ISOCHRONOUS CENTER//CENTER FOCUS PROBLEM
8356 1192 KOWALEVSKI TOP//NON INTEGRABILITY//MORALES RAMIS THEORY
11773 891 SUPERINTEGRABILITY//SUPERINTEGRABLE SYSTEMS//QUADRATIC ALGEBRAS
11856 885 GEODYSYC//LAMBDA SYMMETRIES//JACOBI LAST MULTIPLIER
14800 680 MOMENT MAPPING//UMR 8101//ENERGY MOMENTUM MAP
19416 442 FINITE DIMENSIONAL POISSON SYSTEMS//QUASI POLYNOMIAL SYSTEMS//HAMILTON POISSON SYSTEM
22932 308 LIE SYSTEMS//LIE SYSTEM//SUPERPOSITION RULE
23432 291 GEODESICALLY EQUIVALENT METRICS//PROJECTIVELY EQUIVALENT METRICS//PONCELET THEOREM
26444 209 SOLVABLE DYNAMICAL SYSTEMS//ISOCHRONOUS SYSTEMS//ISOCHRONOUS DYNAMICAL SYSTEMS
33438 91 SZEBEHELYS EQUATION//INVERSE PROBLEM OF DYNAMICS//T POPOVICIU NUMER ANAL
34573 68 ACTION ANGEL VARIABLES//AL KHURMAH BRANCH//BOBYLEV STEKLOV CASE

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 HILBERTS 16TH PROBLEM Author keyword 163 96% 1% 50
2 ISOCHRONOUS CENTER Author keyword 99 91% 1% 41
3 CENTER FOCUS PROBLEM Author keyword 96 93% 1% 37
4 ABELIAN INTEGRAL Author keyword 94 85% 1% 50
5 LIMIT CYCLE Author keyword 86 26% 4% 282
6 LIMIT CYCLES Author keyword 85 30% 3% 234
7 PERIOD FUNCTION Author keyword 78 83% 1% 44
8 POLYNOMIAL DIFFERENTIAL SYSTEM Author keyword 69 96% 0% 22
9 POLYNOMIAL VECTOR FIELD Author keyword 69 93% 0% 26
10 QUADRATIC VECTOR FIELDS Author keyword 65 95% 0% 21

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class		 LCSH search Wikipedia search
1 HILBERTS 16TH PROBLEM 163 96% 1% 50 Search HILBERTS+16TH+PROBLEM Search HILBERTS+16TH+PROBLEM
2 ISOCHRONOUS CENTER 99 91% 1% 41 Search ISOCHRONOUS+CENTER Search ISOCHRONOUS+CENTER
3 CENTER FOCUS PROBLEM 96 93% 1% 37 Search CENTER+FOCUS+PROBLEM Search CENTER+FOCUS+PROBLEM
4 ABELIAN INTEGRAL 94 85% 1% 50 Search ABELIAN+INTEGRAL Search ABELIAN+INTEGRAL
5 LIMIT CYCLE 86 26% 4% 282 Search LIMIT+CYCLE Search LIMIT+CYCLE
6 LIMIT CYCLES 85 30% 3% 234 Search LIMIT+CYCLES Search LIMIT+CYCLES
7 PERIOD FUNCTION 78 83% 1% 44 Search PERIOD+FUNCTION Search PERIOD+FUNCTION
8 POLYNOMIAL DIFFERENTIAL SYSTEM 69 96% 0% 22 Search POLYNOMIAL+DIFFERENTIAL+SYSTEM Search POLYNOMIAL+DIFFERENTIAL+SYSTEM
9 POLYNOMIAL VECTOR FIELD 69 93% 0% 26 Search POLYNOMIAL+VECTOR+FIELD Search POLYNOMIAL+VECTOR+FIELD
10 QUADRATIC VECTOR FIELDS 65 95% 0% 21 Search QUADRATIC+VECTOR+FIELDS Search QUADRATIC+VECTOR+FIELDS

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 HILBERTS 16TH PROBLEM 264 96% 1% 85
2 ISOCHRONOUS CENTERS 167 98% 1% 44
3 LIMIT CYCLES 161 42% 4% 294
4 1ST INTEGRALS 141 58% 2% 163
5 ABELIAN INTEGRALS 110 78% 1% 72
6 C INFINITY SYMMETRIES 89 100% 0% 27
7 POLYNOMIAL VECTOR FIELDS 81 79% 1% 52
8 LINEAR ESTIMATE 80 100% 0% 25
9 KOWALEWSKI TOP 76 100% 0% 24
10 MULTISEPARABLE SUPERINTEGRABILITY 72 93% 0% 27

Journals


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 REGULAR & CHAOTIC DYNAMICS 32 22% 2% 129
2 JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 32 17% 2% 171
3 QUALITATIVE THEORY OF DYNAMICAL SYSTEMS 12 33% 0% 30
4 JOURNAL OF APPLIED ANALYSIS AND COMPUTATION 3 14% 0% 23

Reviews


Title Publ. year Cit. Active references % act. ref.
to same field
Classical and quantum superintegrability with applications 2013 28 121 83%
Hilbert's 16th problem and bifurcations of planar polynomial vector fields 2003 210 156 89%
Symmetry group classification of ordinary differential equations: Survey of some results 2007 32 50 86%
Isochronous dynamical systems 2011 9 13 100%
THE PAINLEVE PROPERTY AND SINGULARITY ANALYSIS OF INTEGRABLE AND NON-INTEGRABLE SYSTEMS 1989 311 73 60%
On some open problems in planar differential systems and Hilbert's 16th problem 2007 24 56 88%
DIRECT METHODS FOR THE SEARCH OF THE 2ND INVARIANT 1987 270 52 75%
The geometry of quadratic differential systems with a weak focus of second order 2006 12 20 100%
Generating finite dimensional integrable nonlinear dynamical systems 2013 3 44 68%
PAINLEVE ANALYSIS, LIE SYMMETRIES, AND INTEGRABILITY OF COUPLED NONLINEAR OSCILLATORS OF POLYNOMIAL TYPE 1993 74 56 68%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 GEODYSYC 32 88% 0.2% 15
2 GSIB 18 89% 0.1% 8
3 DIFFERENTIAL EQUAT CONTINUUM MECH PLICAT 10 17% 0.7% 54
4 MATH COMPUTAT PHYS 9 37% 0.3% 20
5 UMR 8101 8 27% 0.3% 25
6 VOLGO BRANCH 6 80% 0.1% 4
7 PROJET CAFE 6 71% 0.1% 5
8 DST NRF EXCELLENCE MATH STAT SCI 5 54% 0.1% 7
9 SEMINARUL GEOMETRIE TOPOL 5 54% 0.1% 7
10 J KEPLER ASTRON 4 34% 0.1% 10

Related classes at same level (level 2)


Rank Relatedness score Related classes
1 0.0000022211 MEI SYMMETRY//MATH MECH MATH PHYS//CONSERVED QUANTITY
2 0.0000016884 ORBIT FLIP//HOPF BIFURCATION//DOUBLE HOPF BIFURCATION
3 0.0000012579 BACKLUND TRANSFORMATION//CAMASSA HOLM EQUATION//EXP FUNCTION METHOD
4 0.0000007462 PT SYMMETRY//NIKIFOROV UVAROV METHOD//PSEUDOSPIN SYMMETRY
5 0.0000007108 CHAIR QUANTUM STAT FIELD THEORY//RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS//BOSE EINSTEIN DISTRIBUTION
6 0.0000006576 COMPLEX MONGE AMPERE OPERATOR//JACOBIAN CONJECTURE//PLURISUBHARMONIC FUNCTION
7 0.0000005820 HOMOCLINIC SOLUTIONS//SECOND ORDER HAMILTONIAN SYSTEMS//KAM ITERATION
8 0.0000005583 NATURAL PROCESS//MAXIMUM ENTROPY PRODUCTION//BRACHISTOCHRONE
9 0.0000005165 ALGEBRAIC BETHE ANSATZ//REFLECTION EQUATION//INTEGRABLE SPIN CHAINS VERTEX MODELS
10 0.0000004373 MATEMAT LICADA TECNOL INFORMAC//INTEGRAL ALGEBRAIC EQUATIONS//DIFFERENTIAL ALGEBRAIC EQUATION