Class information for:
Level 1: INFINITE DIMENSIONAL HAMILTONIAN SYSTEMS//QUASI PERIODIC SOLUTIONS//BIRKHOFF NORMAL FORM

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
18618 477 19.5 46%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 2)


ID, lev.
above		 Publications Label for level above
2162 4515 HOMOCLINIC SOLUTIONS//SECOND ORDER HAMILTONIAN SYSTEMS//KAM ITERATION

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 INFINITE DIMENSIONAL HAMILTONIAN SYSTEMS Author keyword 20 66% 4% 19
2 QUASI PERIODIC SOLUTIONS Author keyword 10 31% 6% 27
3 BIRKHOFF NORMAL FORM Author keyword 7 39% 3% 14
4 NASH MOSER METHOD Author keyword 6 80% 1% 4
5 37K55 Author keyword 6 100% 1% 4
6 INFINITE DIMENSIONAL KAM THEORY Author keyword 6 100% 1% 4
7 NASH MOSER THEORY Author keyword 6 100% 1% 4
8 GROWTH OF SOBOLEV NORMS Author keyword 4 75% 1% 3
9 MATH J LERAY Address 4 46% 1% 6
10 KAM THEORY Author keyword 4 14% 5% 24

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 INFINITE DIMENSIONAL HAMILTONIAN SYSTEMS 20 66% 4% 19 Search INFINITE+DIMENSIONAL+HAMILTONIAN+SYSTEMS Search INFINITE+DIMENSIONAL+HAMILTONIAN+SYSTEMS
2 QUASI PERIODIC SOLUTIONS 10 31% 6% 27 Search QUASI+PERIODIC+SOLUTIONS Search QUASI+PERIODIC+SOLUTIONS
3 BIRKHOFF NORMAL FORM 7 39% 3% 14 Search BIRKHOFF+NORMAL+FORM Search BIRKHOFF+NORMAL+FORM
4 NASH MOSER METHOD 6 80% 1% 4 Search NASH+MOSER+METHOD Search NASH+MOSER+METHOD
5 37K55 6 100% 1% 4 Search 37K55 Search 37K55
6 INFINITE DIMENSIONAL KAM THEORY 6 100% 1% 4 Search INFINITE+DIMENSIONAL+KAM+THEORY Search INFINITE+DIMENSIONAL+KAM+THEORY
7 NASH MOSER THEORY 6 100% 1% 4 Search NASH+MOSER+THEORY Search NASH+MOSER+THEORY
8 GROWTH OF SOBOLEV NORMS 4 75% 1% 3 Search GROWTH+OF+SOBOLEV+NORMS Search GROWTH+OF+SOBOLEV+NORMS
9 KAM THEORY 4 14% 5% 24 Search KAM+THEORY Search KAM+THEORY
10 QUASI PERIODIC SOLUTION 3 22% 3% 14 Search QUASI+PERIODIC+SOLUTION Search QUASI+PERIODIC+SOLUTION

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 BIRKHOFF NORMAL FORM 50 84% 6% 27
2 HAMILTONIAN PERTURBATIONS 38 71% 6% 30
3 KAM THEOREM 30 64% 6% 29
4 SMALL CAUCHY DATA 30 100% 3% 12
5 ZOLL MANIFOLDS 30 100% 3% 12
6 LINEAR SCHRODINGER 17 70% 3% 14
7 QUASI PERIODIC SOLUTIONS 14 30% 8% 40
8 CANTOR FAMILIES 12 86% 1% 6
9 HIGHER DIMENSION 10 73% 2% 8
10 CUBIC SZEGO EQUATION 6 80% 1% 4

Journals

Reviews


Title Publ. year Cit. Active
references		 % act. ref.
to same field
Quasi-periodic solutions for quasi-periodically forced nonlinear Schrodinger equations with quasi-periodic inhomogeneous terms 2014 0 15 60%
On quantum averaging, quantum KAM, and quantum diffusion 2013 0 17 53%
Virial relations for nonlinear wave equations and nonexistence of almost periodic solutions 1996 0 15 67%

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 J LERAY 4 46% 1.3% 6
2 ANAL GEOMETRIE PLICATUMR 7539 3 50% 1.0% 5
3 ANAL NON LINEAIRE GEOMETRIE EA 2151 1 27% 0.6% 3
4 UMR CNRS 6629 1 14% 1.0% 5
5 ANALYSE GEOMETRIE PLICATUMR 7539 1 50% 0.2% 1
6 COMMUN CONTROL 1 50% 0.2% 1
7 MATH AGM 1 50% 0.2% 1
8 MATH NONLINER SCI 1 50% 0.2% 1
9 SCUOLA GALILEIANA STUDI SUPER 1 50% 0.2% 1
10 THEORET PROBLEMS MICROWORLD 1 50% 0.2% 1

Related classes at same level (level 1)


Rank Relatedness score Related classes
1 0.0000199212 MASLOV TYPE INDEX//COMPACT CONVEX HYPERSURFACES//CLOSED CHARACTERISTICS
2 0.0000183194 KAM ITERATION//SPLITTING OF SEPARATRICES//AUBRY MATHER THEORY
3 0.0000125847 NONLINEAR SUPRATRANSMISSION//NONLINEAR BISTABILITY//SUPRATRANSMISSION
4 0.0000107073 BOUNDED NONLINEARITIES//HYPERBOLIC DIFFERENTIAL INCLUSION//BV CURVES
5 0.0000075366 STRICHARTZ ESTIMATES//HARTREE EQUATION//ENERGY CRITICAL
6 0.0000074185 NON LOCAL HAMILTONIAN FIELD THEORY//EQUATION SECONDAIRE//ISOSPECTRAL THEORY
7 0.0000071459 BOURGAIN SPACE//BOUSSINESQ SYSTEMS//KORTEWEG DE VRIES EQUATION
8 0.0000068108 VORTEX SHEETS//VORTEX SHEET//MUSKAT PROBLEM
9 0.0000052842 DOUBLE OPERATOR INTEGRALS//MULTIPLE OPERATOR INTEGRALS//OPERATOR LIPSCHITZ FUNCTIONS
10 0.0000051292 DAMPED BOUSSINESQ EQUATION//EXISTENCE OF GLOBAL SOLUTION//DOUBLE DISPERSION EQUATION