Class information for:
Level 1: MASLOV TYPE INDEX//SECOND ORDER HAMILTONIAN SYSTEMS//HAMILTONIAN SYSTEMS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10976 1019 18.4 45%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
460 3       POSITIVE SOLUTION//MATHEMATICS, APPLIED//DIFFERENCE EQUATIONS 24500
905 2             POSITIVE SOLUTION//PERIODIC SOLUTION//FIXED POINT INDEX 11262
10976 1                   MASLOV TYPE INDEX//SECOND ORDER HAMILTONIAN SYSTEMS//HAMILTONIAN SYSTEMS 1019

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 MASLOV TYPE INDEX authKW 793170 3% 88% 30
2 SECOND ORDER HAMILTONIAN SYSTEMS authKW 701137 4% 60% 39
3 HAMILTONIAN SYSTEMS authKW 436938 14% 10% 145
4 CLOSED CHARACTERISTICS authKW 422100 2% 78% 18
5 BRAKE ORBITS authKW 396585 1% 88% 15
6 MINIMAL PERIOD authKW 342434 2% 57% 20
7 COMPACT CONVEX HYPERSURFACES authKW 329609 1% 100% 11
8 PERIODIC SOLUTION authKW 327915 18% 6% 187
9 SOBOLEVS INEQUALITY authKW 316469 3% 41% 26
10 SADDLE POINT THEOREM authKW 273696 3% 35% 26

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 41411 86% 0% 874
2 Mathematics, Applied 21690 58% 0% 586
3 Physics, Mathematical 23 2% 0% 21
4 Multidisciplinary Sciences 13 1% 0% 9
5 Mathematics, Interdisciplinary Applications 2 1% 0% 8
6 Automation & Control Systems 0 0% 0% 5
7 Mechanics 0 1% 0% 12
8 Computer Science, Software Engineering -0 0% 0% 5
9 Social Sciences, Mathematical Methods -0 0% 0% 1
10 Operations Research & Management Science -0 0% 0% 4

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 NANKAI MATH 96380 2% 13% 24
2 LPMC 45056 5% 3% 55
3 CHINAS OVERSEAS INTE TS 44944 0% 50% 3
4 MATH SCI COMP TECHNOL 44018 2% 6% 25
5 CHERN MATH 42038 2% 6% 25
6 PURE MATH COMBINATOR 41939 1% 20% 7
7 COMBINATOR MINIST EDUC 29964 0% 100% 1
8 CONTROL SCI ENGN POSTDOCTORAL FLOW STN 29964 0% 100% 1
9 DNEPROPETROVSK TRANSPORT SYST TECHNOL 29964 0% 100% 1
10 DOCTORAL COURSE MATH 29964 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 55967 15% 1% 150
2 JOURNAL OF DIFFERENTIAL EQUATIONS 27256 8% 1% 81
3 ADVANCED NONLINEAR STUDIES 22243 2% 4% 21
4 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 10714 9% 0% 87
5 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 8764 2% 2% 19
6 BOUNDARY VALUE PROBLEMS 7160 2% 1% 19
7 BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA 6389 2% 1% 21
8 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 5131 2% 1% 23
9 CHINESE ANNALS OF MATHEMATICS SERIES B 4551 2% 1% 16
10 TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 4124 1% 2% 9

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 MASLOV TYPE INDEX 793170 3% 88% 30 Search MASLOV+TYPE+INDEX Search MASLOV+TYPE+INDEX
2 SECOND ORDER HAMILTONIAN SYSTEMS 701137 4% 60% 39 Search SECOND+ORDER+HAMILTONIAN+SYSTEMS Search SECOND+ORDER+HAMILTONIAN+SYSTEMS
3 HAMILTONIAN SYSTEMS 436938 14% 10% 145 Search HAMILTONIAN+SYSTEMS Search HAMILTONIAN+SYSTEMS
4 CLOSED CHARACTERISTICS 422100 2% 78% 18 Search CLOSED+CHARACTERISTICS Search CLOSED+CHARACTERISTICS
5 BRAKE ORBITS 396585 1% 88% 15 Search BRAKE+ORBITS Search BRAKE+ORBITS
6 MINIMAL PERIOD 342434 2% 57% 20 Search MINIMAL+PERIOD Search MINIMAL+PERIOD
7 COMPACT CONVEX HYPERSURFACES 329609 1% 100% 11 Search COMPACT+CONVEX+HYPERSURFACES Search COMPACT+CONVEX+HYPERSURFACES
8 PERIODIC SOLUTION 327915 18% 6% 187 Search PERIODIC+SOLUTION Search PERIODIC+SOLUTION
9 SOBOLEVS INEQUALITY 316469 3% 41% 26 Search SOBOLEVS+INEQUALITY Search SOBOLEVS+INEQUALITY
10 SADDLE POINT THEOREM 273696 3% 35% 26 Search SADDLE+POINT+THEOREM Search SADDLE+POINT+THEOREM

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 SCHECHTER, M , PIPAN, J , (2014) NON-AUTONOMOUS SECOND ORDER HAMILTONIAN SYSTEMS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 257. ISSUE 2. P. 351 -373 81 86% 4
2 ZHANG, DZ , (2015) MINIMAL PERIOD PROBLEMS FOR BRAKE ORBITS OF NONLINEAR AUTONOMOUS REVERSIBLE SEMIPOSITIVE HAMILTONIAN SYSTEMS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 35. ISSUE 5. P. 2227 -2272 31 94% 2
3 WANG, Q , LIU, CG , (2016) A NEW INDEX THEORY FOR LINEAR SELF-ADJOINT OPERATOR EQUATIONS AND ITS APPLICATIONS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 260. ISSUE 4. P. 3749 -3784 24 100% 0
4 DUAN, HG , LONG, YM , WANG, W , (2016) THE ENHANCED COMMON INDEX JUMP THEOREM FOR SYMPLECTIC PATHS AND NON-HYPERBOLIC CLOSED GEODESICS ON FINSLER MANIFOLDS.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. VOL. 55. ISSUE 6. P. - 26 84% 1
5 ZHANG, DZ , (2014) SYMMETRIC PERIOD SOLUTIONS WITH PRESCRIBED MINIMAL PERIOD FOR EVEN AUTONOMOUS SEMIPOSITIVE HAMILTONIAN SYSTEMS.SCIENCE CHINA-MATHEMATICS. VOL. 57. ISSUE 1. P. 81 -96 24 96% 3
6 LI, C , OU, ZQ , WU, DL , (2015) ON THE EXISTENCE OF MINIMAL PERIODIC SOLUTIONS FOR A CLASS OF SECOND-ORDER HAMILTONIAN SYSTEMS.APPLIED MATHEMATICS LETTERS. VOL. 43. ISSUE . P. 44 -48 24 96% 0
7 TANG, CL , WU, XP , (2010) SOME CRITICAL POINT THEOREMS AND THEIR APPLICATIONS TO PERIODIC SOLUTION FOR SECOND ORDER HAMILTONIAN SYSTEMS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 248. ISSUE 4. P. 660-692 28 88% 18
8 DUAN, HG , (2016) TWO ELLIPTIC CLOSED GEODESICS ON POSITIVELY CURVED FINSLER SPHERES.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 260. ISSUE 12. P. 8388 -8402 23 92% 0
9 LI, L , SCHECHTER, M , (2016) EXISTENCE SOLUTIONS FOR SECOND ORDER HAMILTONIAN SYSTEMS.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. VOL. 27. ISSUE . P. 283 -296 20 91% 2
10 DUAN, HG , LIU, H , (2016) CLOSED GEODESICS ON POSITIVELY CURVED FINSLER 3-SPHERES.ADVANCED NONLINEAR STUDIES. VOL. 16. ISSUE 1. P. 159 -171 22 92% 0

Classes with closest relation at Level 1


Rank Class id link
1 13872 HOMOCLINIC SOLUTIONS//DISCRETE VARIATIONAL THEORY//MODERN BUSINESS MANAGEMENT
2 1427 P LAPLACIAN//CRITICAL GROUPS//FUCIK SPECTRUM
3 5901 JOURNAL OF SYMPLECTIC GEOMETRY//FLOER HOMOLOGY//CONTACT HOMOLOGY
4 6703 PERIODIC SOLUTION//DEVIATING ARGUMENT//BOUNDEDNESS OF SOLUTIONS
5 31607 NON LOCAL HAMILTONIAN FIELD THEORY//CONLEY MOSER CONDITION//COULOMBIAN AND NEWTONIAN FLUIDS
6 11322 CENTRAL CONFIGURATIONS//N BODY PROBLEM//SPATIAL CENTRAL CONFIGURATIONS
7 32243 LOCAL MINIMAX METHOD//MULTIPLE SADDLE POINTS//GNGA
8 33519 WEAK QUASI PERIODIC SOLUTION//NONLINEAR DUFFING EQUATIONS//ADVANCED RETARDED DIFFERENTIAL EQUATIONS
9 2602 QUASILINEAR SCHRODINGER EQUATION//VARIATIONAL METHODS//SCHRODINGER POISSON SYSTEM
10 16561 EQUIVARIANT DEGREE//INDEX BUNDLE//BOUNDING FUNCTIONS

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