Class information for:
Level 1: KAM ITERATION//SPLITTING OF SEPARATRICES//AUBRY MATHER THEORY

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
7297 1307 23.2 41%


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 KAM ITERATION Author keyword 56 89% 2% 25
2 SPLITTING OF SEPARATRICES Author keyword 32 88% 1% 15
3 AUBRY MATHER THEORY Author keyword 27 70% 2% 23
4 KAM THEORY Author keyword 23 33% 4% 57
5 MAXIMIZING MEASURE Author keyword 21 90% 1% 9
6 ARNOLD DIFFUSION Author keyword 19 52% 2% 26
7 NON DEGENERACY CONDITION Author keyword 18 83% 1% 10
8 ERGODIC OPTIMIZATION Author keyword 15 82% 1% 9
9 LOWER DIMENSIONAL TORI Author keyword 12 86% 0% 6
10 MAXIMIZING PROBABILITY Author keyword 12 86% 0% 6

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 KAM ITERATION 56 89% 2% 25 Search KAM+ITERATION Search KAM+ITERATION
2 SPLITTING OF SEPARATRICES 32 88% 1% 15 Search SPLITTING+OF+SEPARATRICES Search SPLITTING+OF+SEPARATRICES
3 AUBRY MATHER THEORY 27 70% 2% 23 Search AUBRY+MATHER+THEORY Search AUBRY+MATHER+THEORY
4 KAM THEORY 23 33% 4% 57 Search KAM+THEORY Search KAM+THEORY
5 MAXIMIZING MEASURE 21 90% 1% 9 Search MAXIMIZING+MEASURE Search MAXIMIZING+MEASURE
6 ARNOLD DIFFUSION 19 52% 2% 26 Search ARNOLD+DIFFUSION Search ARNOLD+DIFFUSION
7 NON DEGENERACY CONDITION 18 83% 1% 10 Search NON+DEGENERACY+CONDITION Search NON+DEGENERACY+CONDITION
8 ERGODIC OPTIMIZATION 15 82% 1% 9 Search ERGODIC+OPTIMIZATION Search ERGODIC+OPTIMIZATION
9 LOWER DIMENSIONAL TORI 12 86% 0% 6 Search LOWER+DIMENSIONAL+TORI Search LOWER+DIMENSIONAL+TORI
10 MAXIMIZING PROBABILITY 12 86% 0% 6 Search MAXIMIZING+PROBABILITY Search MAXIMIZING+PROBABILITY

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 MINIMIZING MEASURES 140 87% 5% 68
2 SMALL DIVISOR PROBLEMS 58 80% 3% 36
3 IMPLICIT FUNCTION THEOREMS 46 72% 3% 36
4 LINDSTEDT SERIES 42 94% 1% 15
5 LAGRANGIAN SYSTEMS 41 37% 7% 90
6 SEPARATRICES 38 55% 4% 47
7 LOWER DIMENSIONAL TORI 35 72% 2% 28
8 INVARIANT TORI 35 37% 6% 75
9 ERGODIC OPTIMIZATION 29 88% 1% 14
10 WHISKERED TORI 26 100% 1% 11

Journals

Reviews


Title Publ. year Cit. Active
references		 % act. ref.
to same field
Partial preservation of frequencies in KAM theory 2006 19 44 84%
Geometry of Arnold Diffusion 2008 9 18 100%
Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows 2006 16 41 80%
Normal linear stability of quasi-periodic tori 2007 21 25 64%
ON THE GENERAL ONE-DIMENSIONAL XY MODEL: POSITIVE AND ZERO TEMPERATURE, SELECTION AND NON-SELECTION 2011 4 25 88%
A Renormalization proof of the KAM theorem for non-analytic perturbations 2007 4 9 89%
Methods for the analysis of the Lindstedt series for KAM tori and renormalizability in classical mechanics 1996 29 9 89%
TWISTLES SKAM TORI, QUASI-FLAT HOMOCLINIC INTERSECTIONS, AND OTHER CANCELLATIONS IN THE PERTURBATION-SERIES OF CERTAIN COMPLETELY INTEGRABLE HAMILTONIAN-SYSTEMS - A REVIEW 1994 53 7 57%
Lindstedt series for perturbations of isochronous systems: A review of the general theory 2002 6 8 100%
Construction of whiskers for the quasiperiodically forced pendulum 2007 1 6 100%

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 EA 2151 6 47% 0.7% 9
2 GEOMETR ANAL GRP 2 67% 0.2% 2
3 ANAL NON LINEAIRE GEOMETRIE EA 2151 2 36% 0.3% 4
4 MECAN CELESTE 2 43% 0.2% 3
5 DIFFERENTIAL EQUAT MATH ANAL 1 50% 0.2% 2
6 LMA EA 2151 1 50% 0.2% 2
7 REINE ANGEW MATH 1 18% 0.5% 6
8 EQUIPE MATH BESANCON 1 21% 0.4% 5
9 BUR LONGITUDES 1 25% 0.2% 3
10 OFF MATH 1 25% 0.2% 3

Related classes at same level (level 1)


Rank Relatedness score Related classes
1 0.0000183194 INFINITE DIMENSIONAL HAMILTONIAN SYSTEMS//QUASI PERIODIC SOLUTIONS//BIRKHOFF NORMAL FORM
2 0.0000155744 CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY//KIRKWOOD GAPS//CELESTIAL MECHANICS
3 0.0000152560 ROBUST TORI//ASSOC EURATOM MECI//ASSOC EURATOM ETAT BELGE FUS
4 0.0000123549 NONLINEAR SUPRATRANSMISSION//NONLINEAR BISTABILITY//SUPRATRANSMISSION
5 0.0000101875 ROTATION SET//PLANAR HOMEOMORPHISM//SURFACE HOMEOMORPHISMS
6 0.0000094753 BOUNDARY RIGIDITY//HARMONIC MANIFOLDS//GEODESIC RAY TRANSFORM
7 0.0000094137 STRANGE NONCHAOTIC ATTRACTORS//QUASIPERIODICALLY FORCED SYSTEMS//STRANGE NONCHAOTIC ATTRACTOR
8 0.0000084038 TYPE II INTERMITTENCY//CIRCLE DIFFEOMORPHISM//CIRCLE HOMEOMORPHISM
9 0.0000080100 GAUGE ORBIT SPACE//SYMMETRIC HAMILTONIAN SYSTEMS//SINGULAR SYMPLECTIC REDUCTION
10 0.0000070517 MOMENT MAPPING//UMR 8101//ENERGY MOMENTUM MAP