Class information for: |
Basic class information |
| Class id | #P | Avg. number of references |
Database coverage of references |
|---|---|---|---|
| 37426 | 58 | 13.8 | 28% |
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 |
| 1287 | 2 | DIFFERENCE EQUATIONS//MILD SOLUTION//JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 8681 |
| 37426 | 1 | METHOD OF LYAPUNOV FUNCTIONALS CONSTRUCTION//MATH INFORMAT COMP//LYAPUNOV TYPE THEOREMS | 58 |
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 | METHOD OF LYAPUNOV FUNCTIONALS CONSTRUCTION | authKW | 2866376 | 12% | 78% | 7 |
| 2 | MATH INFORMAT COMP | address | 1203374 | 7% | 57% | 4 |
| 3 | LYAPUNOV TYPE THEOREMS | authKW | 1052956 | 3% | 100% | 2 |
| 4 | ABSOLUTE STABILITY WITH TIME DELAY | authKW | 526478 | 2% | 100% | 1 |
| 5 | ABSOLUTE STABILITY WITHIN HURWITZ SECTIONAL REGION | authKW | 526478 | 2% | 100% | 1 |
| 6 | DETERMINISTIC AND STOCHASTIC SYSTEMS | authKW | 526478 | 2% | 100% | 1 |
| 7 | GENERAL METHOD OF LYAPUNOV FUNCTIONAL CONSTRUCTION | authKW | 526478 | 2% | 100% | 1 |
| 8 | HIGHER MATH INFORMAT COMP | address | 526478 | 2% | 100% | 1 |
| 9 | LYAPUNOV FUNCTIONALS CONSTRUCTION METHOD | authKW | 526478 | 2% | 100% | 1 |
| 10 | NONLINEAR STOCHASTIC VOLTERRA DIFFERENCE EQUATIONS | authKW | 526478 | 2% | 100% | 1 |
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, Applied | 1134 | 55% | 0% | 32 |
| 2 | Automation & Control Systems | 477 | 19% | 0% | 11 |
| 3 | Mathematics | 358 | 34% | 0% | 20 |
| 4 | Multidisciplinary Sciences | 289 | 12% | 0% | 7 |
| 5 | Instruments & Instrumentation | 37 | 9% | 0% | 5 |
| 6 | Mathematics, Interdisciplinary Applications | 25 | 5% | 0% | 3 |
| 7 | Computer Science, Software Engineering | 10 | 3% | 0% | 2 |
| 8 | Statistics & Probability | 8 | 3% | 0% | 2 |
| 9 | Computer Science, Interdisciplinary Applications | 6 | 3% | 0% | 2 |
| 10 | Operations Research & Management Science | 2 | 2% | 0% | 1 |
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 | MATH INFORMAT COMP | 1203374 | 7% | 57% | 4 |
| 2 | HIGHER MATH INFORMAT COMP | 526478 | 2% | 100% | 1 |
| 3 | HIGHER MATH | 276666 | 21% | 4% | 12 |
| 4 | MOSCOW STATE ELECT MATH | 5914 | 2% | 1% | 1 |
| 5 | YANGTZE MATH | 2670 | 2% | 1% | 1 |
| 6 | DIPARTIMENTO INFORMAT PLICAZ | 1977 | 2% | 0% | 1 |
| 7 | CINVESTAV | 1691 | 5% | 0% | 3 |
| 8 | AUTOMAT CONTROL | 1296 | 5% | 0% | 3 |
| 9 | DIPARTIMENTO MATEMAT INFORMAT | 595 | 3% | 0% | 2 |
| 10 | MATH INFORMAT SCI | 257 | 3% | 0% | 2 |
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 | REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES | 21931 | 5% | 1% | 3 |
| 2 | SCIENTIA SINICA SERIES A-MATHEMATICAL PHYSICAL ASTRONOMICAL & TECHNICAL SCIENCES | 7479 | 5% | 0% | 3 |
| 3 | APPLIED MATHEMATICS LETTERS | 6390 | 14% | 0% | 8 |
| 4 | DIFFERENTIAL EQUATIONS | 3525 | 9% | 0% | 5 |
| 5 | AUTOMATION AND REMOTE CONTROL | 3506 | 9% | 0% | 5 |
| 6 | AVTOMATIKA | 3113 | 2% | 1% | 1 |
| 7 | DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2225 | 5% | 0% | 3 |
| 8 | STOCHASTICS AND DYNAMICS | 1365 | 2% | 0% | 1 |
| 9 | ADVANCES IN DIFFERENCE EQUATIONS | 985 | 3% | 0% | 2 |
| 10 | DYNAMIC SYSTEMS AND APPLICATIONS | 835 | 2% | 0% | 1 |
Author Key Words |
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 | SHAIKHET, L , (2010) SOME NEW ASPECTS OF LYAPUNOV-TYPE THEOREMS FOR STOCHASTIC DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE.SIAM JOURNAL ON CONTROL AND OPTIMIZATION. VOL. 48. ISSUE 7. P. 4481 -4499 | 14 | 82% | 10 |
| 2 | SHAIKHET, L , (2011) ABOUT AN UNSOLVED STABILITY PROBLEM FOR A STOCHASTIC DIFFERENCE EQUATION WITH CONTINUOUS TIME.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. VOL. 17. ISSUE 3. P. 441 -444 | 8 | 100% | 4 |
| 3 | SHAIKHET, L , (2006) SOME NEW ASPECT OF LYAPUNOV TYPE THEOREMS FOR STOCHASTIC DIFFERENCE EQUATIONS WITH CONTINUOUS TIME.ASIAN JOURNAL OF CONTROL. VOL. 8. ISSUE 1. P. 76-81 | 9 | 100% | 4 |
| 4 | SHAIKHET, L , (2005) GENERAL METHOD OF LYAPUNOV FUNCTIONALS CONSTRUCTION IN STABILITY INVESTIGATIONS OF NONLINEAR STOCHASTIC DIFFERENCE EQUATIONS WITH CONTINUOUS TIME.STOCHASTICS AND DYNAMICS. VOL. 5. ISSUE 2. P. 175-188 | 10 | 91% | 6 |
| 5 | PATERNOSTER, B , SHAIKHET, L , (2007) MEAN SQUARE SUMMABILITY OF SOLUTION OF STOCHASTIC DIFFERENCE SECOND-KIND VOLTERRA EQUATION WITH SMALL NONLINEARITY.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - | 7 | 100% | 1 |
| 6 | SHAIKHET, LE , (2004) CONSTRUCTION OF LYAPUNOV FUNCTIONALS FOR STOCHASTIC DIFFERENCE EQUATIONS WITH CONTINUOUS TIME.MATHEMATICS AND COMPUTERS IN SIMULATION. VOL. 66. ISSUE 6. P. 509-521 | 6 | 100% | 12 |
| 7 | LUO, JW , SHAIKHET, L , (2007) STABILITY IN PROBABILITY OF NONLINEAR STOCHASTIC VOLTERRA DIFFERENCE EQUATIONS WITH CONTINUOUS VARIABLE.STOCHASTIC ANALYSIS AND APPLICATIONS. VOL. 25. ISSUE 6. P. 1151-1165 | 5 | 100% | 1 |
| 8 | SANTONJA, FJ , SHAIKHET, L , (2012) ANALYSING SOCIAL EPIDEMICS BY DELAYED STOCHASTIC MODELS.DISCRETE DYNAMICS IN NATURE AND SOCIETY. VOL. . ISSUE . P. - | 8 | 53% | 1 |
| 9 | SHAIKHET, L , (2006) ABOUT STABILITY OF A DIFFERENCE ANALOGUE OF A NONLINEAR INTEGRO-DIFFERENTIAL EQUATION OF CONVOLUTION TYPE.APPLIED MATHEMATICS LETTERS. VOL. 19. ISSUE 11. P. 1216-1221 | 5 | 100% | 0 |
| 10 | KOLMANOVSKII, V , SHAIKHET, L , (2002) CONSTRUCTION OF LYAPUNOV FUNCTIONALS FOR STOCHASTIC HEREDITARY SYSTEMS: A SURVEY OF SOME RECENT RESULTS.MATHEMATICAL AND COMPUTER MODELLING. VOL. 36. ISSUE 6. P. 691-716 | 7 | 70% | 28 |
Classes with closest relation at Level 1 |