Class information for:
Level 3: MEI SYMMETRY//MATH MECH MATH PHYS//CONSERVED QUANTITY

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
613 11147 19.7 39%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 4)


ID, lev.
above		 Publications Label for level above
11 991155 MATHEMATICS//MATHEMATICS, APPLIED//MATH

Classes in level below (level 2)


ID, lev.
below		 Publications Label for level below
1462 7242 HILBERTS 16TH PROBLEM//ISOCHRONOUS CENTER//CENTER FOCUS PROBLEM
2519 3366 MEI SYMMETRY//MATH MECH MATH PHYS//CONSERVED QUANTITY
3892 539 CUTTING ANGLE METHOD//LIPSCHITZ PROGRAMMING//NEWTONS 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 MEI SYMMETRY Author keyword 367 100% 1% 83
2 MATH MECH MATH PHYS Address 340 100% 1% 78
3 CONSERVED QUANTITY Author keyword 317 82% 2% 187
4 HILBERTS 16TH PROBLEM Author keyword 163 96% 0% 50
5 LIE SYMMETRY Author keyword 151 65% 1% 145
6 BIRKHOFFIAN SYSTEM Author keyword 113 92% 0% 45
7 REGULAR & CHAOTIC DYNAMICS Journal 109 38% 2% 225
8 NON NOETHER CONSERVED QUANTITY Author keyword 106 100% 0% 31
9 ISOCHRONOUS CENTER Author keyword 99 91% 0% 41
10 CENTER FOCUS PROBLEM Author keyword 96 93% 0% 37

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 MEI SYMMETRY 367 100% 1% 83 Search MEI+SYMMETRY Search MEI+SYMMETRY
2 CONSERVED QUANTITY 317 82% 2% 187 Search CONSERVED+QUANTITY Search CONSERVED+QUANTITY
3 HILBERTS 16TH PROBLEM 163 96% 0% 50 Search HILBERTS+16TH+PROBLEM Search HILBERTS+16TH+PROBLEM
4 LIE SYMMETRY 151 65% 1% 145 Search LIE+SYMMETRY Search LIE+SYMMETRY
5 BIRKHOFFIAN SYSTEM 113 92% 0% 45 Search BIRKHOFFIAN+SYSTEM Search BIRKHOFFIAN+SYSTEM
6 NON NOETHER CONSERVED QUANTITY 106 100% 0% 31 Search NON+NOETHER+CONSERVED+QUANTITY Search NON+NOETHER+CONSERVED+QUANTITY
7 ISOCHRONOUS CENTER 99 91% 0% 41 Search ISOCHRONOUS+CENTER Search ISOCHRONOUS+CENTER
8 CENTER FOCUS PROBLEM 96 93% 0% 37 Search CENTER+FOCUS+PROBLEM Search CENTER+FOCUS+PROBLEM
9 ABELIAN INTEGRAL 94 85% 0% 50 Search ABELIAN+INTEGRAL Search ABELIAN+INTEGRAL
10 LIMIT CYCLE 90 27% 3% 288 Search LIMIT+CYCLE Search LIMIT+CYCLE

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 FORM INVARIANCE 627 94% 2% 218
2 MEI SYMMETRY 456 99% 1% 99
3 LIE SYMMETRIES 345 76% 2% 239
4 HILBERTS 16TH PROBLEM 264 96% 1% 85
5 1ST INTEGRALS 256 72% 2% 202
6 ISOCHRONOUS CENTERS 167 98% 0% 44
7 CONSERVED QUANTITIES 167 64% 1% 162
8 LIMIT CYCLES 161 42% 3% 294
9 LIE SYMMETRY 157 91% 1% 64
10 VARIABLE MASS SYSTEM 138 100% 0% 38

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 109 38% 2% 225
2 JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 37 18% 2% 183
3 JOURNAL OF GEOMETRIC MECHANICS 29 41% 0% 54
4 INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS 18 13% 1% 133
5 REPORTS ON MATHEMATICAL PHYSICS 15 12% 1% 119
6 QUALITATIVE THEORY OF DYNAMICAL SYSTEMS 12 33% 0% 30
7 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%
Conservation Laws, Hierarchy of Dynamics and Explicit Integration of Nonholonomic Systems 2008 28 42 95%
THE PAINLEVE PROPERTY AND SINGULARITY ANALYSIS OF INTEGRABLE AND NON-INTEGRABLE SYSTEMS 1989 311 73 60%
Symmetry group classification of ordinary differential equations: Survey of some results 2007 32 50 86%
Isochronous dynamical systems 2011 9 13 100%
DIRECT METHODS FOR THE SEARCH OF THE 2ND INVARIANT 1987 270 52 75%
On some open problems in planar differential systems and Hilbert's 16th problem 2007 24 56 88%
Continuous symmetries of difference equations 2006 59 134 35%
PAINLEVE ANALYSIS, LIE SYMMETRIES, AND INTEGRABILITY OF COUPLED NONLINEAR OSCILLATORS OF POLYNOMIAL TYPE 1993 74 56 73%

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 MATH MECH MATH PHYS 340 100% 0.7% 78
2 GEODYSYC 32 88% 0.1% 15
3 RECH MATH 18 14% 1.0% 117
4 DYNAM SYST MECH CONTROL 18 89% 0.1% 8
5 GSIB 18 89% 0.1% 8
6 MATH PHYS ASTRON 17 30% 0.4% 47
7 MATEMAT 1 11 69% 0.1% 9
8 DIFFERENTIAL EQUAT CONTINUUM MECH PLICAT 10 17% 0.5% 54
9 MATH COMPUTAT PHYS 9 37% 0.2% 20
10 FSI VUT 8 100% 0.0% 5

Related classes at same level (level 3)


Rank Relatedness score Related classes
1 0.0000005615 BACKLUND TRANSFORMATION//CAMASSA HOLM EQUATION//NONLINEAR SCHRODINGER EQUATIONS
2 0.0000002883 PT SYMMETRY//SCHRODINGER OPERATORS//NIKIFOROV UVAROV METHOD
3 0.0000002118 MEROMORPHIC FUNCTIONS//STARLIKE FUNCTIONS//NEVANLINNA THEORY
4 0.0000001949 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS//CHAOS//SYNCHRONIZATION
5 0.0000001945 HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD
6 0.0000001907 MATHEMATICS//JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//ALGEBRAIC AND GEOMETRIC TOPOLOGY
7 0.0000001744 JOURNAL OF OPERATOR THEORY//C ALGEBRAS//C ALGEBRA
8 0.0000001405 PHYSICS, PARTICLES & FIELDS//PHYSICAL REVIEW D//JOURNAL OF HIGH ENERGY PHYSICS
9 0.0000001294 ENGINEERING, AEROSPACE//JOURNAL OF GUIDANCE CONTROL AND DYNAMICS//JOURNAL OF AIRCRAFT
10 0.0000001190 PHYSICAL REVIEW A//QUANTUM INFORMATION PROCESSING//INTERNATIONAL JOURNAL OF QUANTUM INFORMATION