Class information for:
Level 2: HOMOCLINIC SOLUTIONS//SECOND ORDER HAMILTONIAN SYSTEMS//KAM ITERATION

Basic class information

ID Publications Average number
of references
Avg. shr. active
ref. in WoS
2162 4515 20.9 46%



Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)



ID, lev.
above
Publications Label for level above
219 46842 BACKLUND TRANSFORMATION//CAMASSA HOLM EQUATION//NONLINEAR SCHRODINGER EQUATIONS

Classes in level below (level 1)



ID, lev. below Publications Label for level below
7297 1307 KAM ITERATION//SPLITTING OF SEPARATRICES//AUBRY MATHER THEORY
11664 900 HOMOCLINIC SOLUTIONS//DISCRETE VARIATIONAL THEORY//MODERN BUSINESS MANAGEMENT
14368 708 MASLOV TYPE INDEX//COMPACT CONVEX HYPERSURFACES//CLOSED CHARACTERISTICS
17982 510 EXTENDED FISHER KOLMOGOROV EQUATION//EMBEDDED SOLITONS//TWO TIMESCALES PERTURBATION METHOD
18618 477 INFINITE DIMENSIONAL HAMILTONIAN SYSTEMS//QUASI PERIODIC SOLUTIONS//BIRKHOFF NORMAL FORM
19425 442 NONLINEAR SUPRATRANSMISSION//NONLINEAR BISTABILITY//SUPRATRANSMISSION
28282 171 MAXWELL DIRAC SYSTEM//NONLINEAR DIRAC EQUATION//SEMI CLASSICAL STATES

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 HOMOCLINIC SOLUTIONS Author keyword 97 70% 2% 80
2 SECOND ORDER HAMILTONIAN SYSTEMS Author keyword 83 94% 1% 30
3 KAM ITERATION Author keyword 69 93% 1% 26
4 DISCRETE VARIATIONAL THEORY Author keyword 64 100% 0% 21
5 MODERN BUSINESS MANAGEMENT Address 56 100% 0% 19
6 KAM THEORY Author keyword 55 48% 2% 83
7 MASLOV TYPE INDEX Author keyword 46 82% 1% 27
8 HAMILTONIAN SYSTEMS Author keyword 40 20% 4% 175
9 HOMOCLINIC SOLUTION Author keyword 38 62% 1% 40
10 SPLITTING OF SEPARATRICES Author keyword 32 88% 0% 15

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 HOMOCLINIC SOLUTIONS 97 70% 2% 80 Search HOMOCLINIC+SOLUTIONS Search HOMOCLINIC+SOLUTIONS
2 SECOND ORDER HAMILTONIAN SYSTEMS 83 94% 1% 30 Search SECOND+ORDER+HAMILTONIAN+SYSTEMS Search SECOND+ORDER+HAMILTONIAN+SYSTEMS
3 KAM ITERATION 69 93% 1% 26 Search KAM+ITERATION Search KAM+ITERATION
4 DISCRETE VARIATIONAL THEORY 64 100% 0% 21 Search DISCRETE+VARIATIONAL+THEORY Search DISCRETE+VARIATIONAL+THEORY
5 KAM THEORY 55 48% 2% 83 Search KAM+THEORY Search KAM+THEORY
6 MASLOV TYPE INDEX 46 82% 1% 27 Search MASLOV+TYPE+INDEX Search MASLOV+TYPE+INDEX
7 HAMILTONIAN SYSTEMS 40 20% 4% 175 Search HAMILTONIAN+SYSTEMS Search HAMILTONIAN+SYSTEMS
8 HOMOCLINIC SOLUTION 38 62% 1% 40 Search HOMOCLINIC+SOLUTION Search HOMOCLINIC+SOLUTION
9 SPLITTING OF SEPARATRICES 32 88% 0% 15 Search SPLITTING+OF+SEPARATRICES Search SPLITTING+OF+SEPARATRICES
10 NONLINEAR SUPRATRANSMISSION 30 100% 0% 12 Search NONLINEAR+SUPRATRANSMISSION Search NONLINEAR+SUPRATRANSMISSION

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 SUBHARMONIC SOLUTIONS 209 83% 3% 116
2 MINIMIZING MEASURES 140 87% 2% 68
3 KAM THEOREM 114 93% 1% 42
4 LOWER DIMENSIONAL TORI 92 92% 1% 36
5 MASLOV TYPE INDEX 77 77% 1% 53
6 HAMILTONIAN SYSTEMS 76 17% 9% 410
7 SMALL DIVISOR PROBLEMS 64 82% 1% 37
8 BIRKHOFF NORMAL FORM 50 84% 1% 27
9 IMPLICIT FUNCTION THEOREMS 50 74% 1% 37
10 R 2N 48 100% 0% 17

Journals

Reviews



Title Publ. year Cit. Active
references
% act. ref.
to same field
Periodic and subharmonic solutions for a 2nth-order difference equation involving p-Laplacian 2013 6 26 77%
The Fermi-Pasta-Ulam problem: Fifty years of progress 2005 92 48 44%
Geometry of Arnold Diffusion 2008 9 18 100%
Partial preservation of frequencies in KAM theory 2006 19 44 84%
Stationary states of nonlinear Dirac equations with general potentials 2008 21 18 44%
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%
ON SEMICLASSICAL GROUND STATES OF A NONLINEAR DIRAC EQUATION 2012 6 22 41%
Linear vertical vibrations of suspension bridges: A review of continuum models and some new results 2010 8 21 57%

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 MODERN BUSINESS MANAGEMENT 56 100% 0.4% 19
2 ORIENTAL SCI TECHNOL 23 64% 0.5% 23
3 EA 2151 10 58% 0.2% 11
4 MATH SCI COMP TECHNOL 7 13% 1.2% 54
5 ANAL NON LINEAIRE GEOMETRIE EA 2151 7 64% 0.2% 7
6 TECH PHYS PL MATH 4 17% 0.5% 23
7 MATH J LERAY 4 46% 0.1% 6
8 ANAL GEOMETRIE PLICATUMR 7539 3 50% 0.1% 5
9 NANKAI MATH 3 13% 0.5% 23
10 PACKAGING ENGN 3 11% 0.5% 24

Related classes at same level (level 2)



Rank Relatedness score Related classes
1 0.0000022035 ORBIT FLIP//HOPF BIFURCATION//DOUBLE HOPF BIFURCATION
2 0.0000021993 DISCRETE BREATHERS//CONDON DOMAINS//INTRINSIC LOCALIZED MODES
3 0.0000019824 CRITICAL SOBOLEV EXPONENT//P LAPLACIAN//NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
4 0.0000017744 POSITIVE SOLUTION//FIXED POINT THEOREMS//MONOTONE ITERATIVE TECHNIQUE
5 0.0000010244 NONLINEAR SCHRODINGER EQUATIONS//STRICHARTZ ESTIMATES//I METHOD
6 0.0000009070 ERGODIC THEORY AND DYNAMICAL SYSTEMS//NIELSEN NUMBERS//DOMINATED SPLITTING
7 0.0000008803 QUANTUM CHAOS//NANOELECT MAT//NONLINEAR DYNAM SYST
8 0.0000008729 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS//VIRTUAL KNOT//JONES POLYNOMIAL
9 0.0000008711 Z2K ACTION//PROJECTIVE SPACE BUNDLE//FIXED DATA
10 0.0000007989 JOURNAL OF GUIDANCE CONTROL AND DYNAMICS//RESTRICTED THREE BODY PROBLEM//CENTRAL CONFIGURATIONS