Class information for:
Level 1: HILBERTS 16TH PROBLEM//ISOCHRONOUS CENTER//CENTER FOCUS PROBLEM

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
2408 2185 18.4 43%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 2)


ID, lev.
above		 Publications Label for level above
1462 7242 HILBERTS 16TH PROBLEM//ISOCHRONOUS CENTER//CENTER FOCUS PROBLEM

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% 2% 50
2 ISOCHRONOUS CENTER Author keyword 99 91% 2% 41
3 CENTER FOCUS PROBLEM Author keyword 96 93% 2% 37
4 ABELIAN INTEGRAL Author keyword 94 85% 2% 50
5 LIMIT CYCLE Author keyword 85 26% 13% 280
6 LIMIT CYCLES Author keyword 82 30% 11% 230
7 PERIOD FUNCTION Author keyword 78 83% 2% 44
8 POLYNOMIAL DIFFERENTIAL SYSTEM Author keyword 69 96% 1% 22
9 POLYNOMIAL VECTOR FIELD Author keyword 69 93% 1% 26
10 ABELIAN INTEGRALS Author keyword 64 75% 2% 47

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% 2% 50 Search HILBERTS+16TH+PROBLEM Search HILBERTS+16TH+PROBLEM
2 ISOCHRONOUS CENTER 99 91% 2% 41 Search ISOCHRONOUS+CENTER Search ISOCHRONOUS+CENTER
3 CENTER FOCUS PROBLEM 96 93% 2% 37 Search CENTER+FOCUS+PROBLEM Search CENTER+FOCUS+PROBLEM
4 ABELIAN INTEGRAL 94 85% 2% 50 Search ABELIAN+INTEGRAL Search ABELIAN+INTEGRAL
5 LIMIT CYCLE 85 26% 13% 280 Search LIMIT+CYCLE Search LIMIT+CYCLE
6 LIMIT CYCLES 82 30% 11% 230 Search LIMIT+CYCLES Search LIMIT+CYCLES
7 PERIOD FUNCTION 78 83% 2% 44 Search PERIOD+FUNCTION Search PERIOD+FUNCTION
8 POLYNOMIAL DIFFERENTIAL SYSTEM 69 96% 1% 22 Search POLYNOMIAL+DIFFERENTIAL+SYSTEM Search POLYNOMIAL+DIFFERENTIAL+SYSTEM
9 POLYNOMIAL VECTOR FIELD 69 93% 1% 26 Search POLYNOMIAL+VECTOR+FIELD Search POLYNOMIAL+VECTOR+FIELD
10 ABELIAN INTEGRALS 64 75% 2% 47 Search ABELIAN+INTEGRALS Search ABELIAN+INTEGRALS

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% 4% 85
2 LIMIT CYCLES 154 41% 13% 288
3 ISOCHRONOUS CENTERS 134 96% 2% 43
4 ABELIAN INTEGRALS 110 78% 3% 72
5 LINEAR ESTIMATE 80 100% 1% 25
6 CUBIC SYSTEMS 68 84% 2% 37
7 POLYNOMIAL VECTOR FIELDS 66 74% 2% 49
8 POLYNOMIAL DIFFERENTIAL SYSTEMS 65 95% 1% 21
9 VECTOR FIELDS 50 17% 12% 271
10 HAMILTONIAN CENTERS 44 100% 1% 16

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 QUALITATIVE THEORY OF DYNAMICAL SYSTEMS 7 26% 1% 24
2 JOURNAL OF APPLIED ANALYSIS AND COMPUTATION 3 13% 1% 22

Reviews


Title Publ. year Cit. Active references % act. ref.
to same field
Hilbert's 16th problem and bifurcations of planar polynomial vector fields 2003 210 156 88%
On some open problems in planar differential systems and Hilbert's 16th problem 2007 24 56 84%
The geometry of quadratic differential systems with a weak focus of second order 2006 12 20 100%
GLOBAL CLASSIFICATION OF A CLASS OF CUBIC VECTOR FIELDS WHOSE CANONICAL REGIONS ARE PERIOD ANNULI 2011 3 19 100%
On the center problem for degenerate singular points of planar vector fields 2002 22 9 100%
Bifurcation sets of continuous piecewise linear systems with two zones 1998 61 4 50%
A study on the existence of limit cycles of a planar system with third-degree polynomials 2004 20 9 67%
THE JACOBI LAST MULTIPLIER AND ISOCHRONICITY OF LIENARD TYPE SYSTEMS 2013 1 22 68%
Bifurcation sets of symmetrical continuous piecewise linear systems with three zones 2002 10 6 83%
Bifurcation of limit cycles for a class of cubic polynomial system having a nilpotent singular point 2011 0 3 100%

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 UMR 6083 SCI TECH 4 75% 0.1% 3
2 UMR 6083 MATH PHYS THEOR 3 50% 0.2% 4
3 ANAL GEOMETRIE LICAT 2 67% 0.1% 2
4 UMS MEDICIS 658 2 67% 0.1% 2
5 MATH PHYS THEORUMR 6083 2 40% 0.2% 4
6 LIMB 1 15% 0.4% 9
7 LMIB MATH SYST SCI 1 50% 0.1% 2
8 MODELES PHYS MATH 1 100% 0.1% 2
9 SCI TECH MATH PHYS THEOR 1 100% 0.1% 2
10 THEORET PHYS MATH FIMAT 1 100% 0.1% 2

Related classes at same level (level 1)


Rank Relatedness score Related classes
1 0.0000145271 FINITE DIMENSIONAL POISSON SYSTEMS//QUASI POLYNOMIAL SYSTEMS//HAMILTON POISSON SYSTEM
2 0.0000118370 HOLOMORPHIC FOLIATION//HOLOMORPHIC FOLIATIONS//REDUCTION OF SINGULARITIES
3 0.0000110619 LIENARD SYSTEM//MULTIPLE DEVIATING ARGUMENTS//GENERALIZED LIENARD EQUATION
4 0.0000084596 UNIQUE NORMAL FORM//BIFURCATION CONTROL//NORMAL FORMS
5 0.0000064582 ORBIT FLIP//INCLINATION FLIP//CHUAS EQUATION
6 0.0000041855 METHOD OF INEQUALITIES//DISTURBANCE SPACE//MAXIMUM DYNAMIC ERROR
7 0.0000039719 GEODYSYC//LAMBDA SYMMETRIES//JACOBI LAST MULTIPLIER
8 0.0000037526 SOLVABLE DYNAMICAL SYSTEMS//ISOCHRONOUS SYSTEMS//ISOCHRONOUS DYNAMICAL SYSTEMS
9 0.0000033091 LIE SYSTEMS//LIE SYSTEM//SUPERPOSITION RULE
10 0.0000032888 BORDER COLLISION BIFURCATIONS//GRAZING BIFURCATIONS//IMPACT OSCILLATOR