Class information for: |
Basic class information |
Hierarchy of classes |
The table includes all classes above and classes immediately below the current class. |
| Cluster id | Level | Cluster label | #P |
|---|---|---|---|
| 14 | 4 | MATHEMATICS//MATHEMATICS, APPLIED//MATH | 912822 |
| 587 | 3 | PROPER ORTHOGONAL DECOMPOSITION//SIAM JOURNAL ON CONTROL AND OPTIMIZATION//DISTRIBUTED PARAMETER SYSTEMS | 15113 |
| 2773 | 2 | CONTROL SETS//OPTIMAL CONTROL//OCCUPATIONAL MEASURES | 3387 |
| 20644 | 1 | INVARIANCE ENTROPY//LIE SEMIGROUPS//SEMI SIMPLE LIE GROUPS | 475 |
Terms with highest relevance score |
| rank | Category | termType | chi_square | shrOfCwithTerm | shrOfTermInClass | termInClass |
|---|---|---|---|---|---|---|
| 1 | INVARIANCE ENTROPY | authKW | 603181 | 2% | 91% | 10 |
| 2 | LIE SEMIGROUPS | authKW | 442328 | 2% | 67% | 10 |
| 3 | SEMI SIMPLE LIE GROUPS | authKW | 422536 | 2% | 58% | 11 |
| 4 | INVARIANT CONTROL SETS | authKW | 398101 | 1% | 100% | 6 |
| 5 | CHAIN CONTROL SETS | authKW | 212319 | 1% | 80% | 4 |
| 6 | SEMIGROUP ACTION | authKW | 207330 | 2% | 31% | 10 |
| 7 | EQUIVALENT FLOWS | authKW | 199050 | 1% | 100% | 3 |
| 8 | HOMOTOPY OF TRAJECTORIES | authKW | 199050 | 1% | 100% | 3 |
| 9 | MONOTONIC HOMOTOPY | authKW | 199050 | 1% | 100% | 3 |
| 10 | FLAG MANIFOLDS | authKW | 183802 | 3% | 21% | 13 |
Web of Science journal categories |
| chi_square_rank | Category | chi_square | shrOfCwithTerm | shrOfTermInClass | termInClass |
|---|---|---|---|---|---|
| 1 | Mathematics | 16124 | 79% | 0% | 374 |
| 2 | Mathematics, Applied | 2227 | 28% | 0% | 132 |
| 3 | Automation & Control Systems | 1957 | 14% | 0% | 65 |
| 4 | Operations Research & Management Science | 31 | 2% | 0% | 11 |
| 5 | Mathematics, Interdisciplinary Applications | 24 | 2% | 0% | 10 |
| 6 | Physics, Mathematical | 12 | 2% | 0% | 10 |
| 7 | History & Philosophy of Science | 4 | 0% | 0% | 2 |
| 8 | Robotics | 1 | 0% | 0% | 1 |
| 9 | Computer Science, Cybernetics | 1 | 0% | 0% | 1 |
| 10 | Statistics & Probability | 1 | 1% | 0% | 4 |
Address terms |
| chi_square_rank | term | chi_square | shrOfCwithTerm | shrOfTermInClass | termInClass |
|---|---|---|---|---|---|
| 1 | R SALEM | 99522 | 1% | 50% | 3 |
| 2 | MATH ANGEW STAT | 88462 | 1% | 33% | 4 |
| 3 | AUTOMAT UER PHYS | 66350 | 0% | 100% | 1 |
| 4 | CINCIAS INTE AS PONTAL | 66350 | 0% | 100% | 1 |
| 5 | GEOMETRIE DIFFERENTIELLE PLICAT | 66350 | 0% | 100% | 1 |
| 6 | JSW JAIGARH PORT LTD | 66350 | 0% | 100% | 1 |
| 7 | NONLINEAR ANAL MATH MODELING | 66350 | 0% | 100% | 1 |
| 8 | NONLINEAR ANAL MATH MODELLING | 66350 | 0% | 100% | 1 |
| 9 | NONLINEAR ANALYSIS MATH MODELLING | 66350 | 0% | 100% | 1 |
| 10 | TOPOL GEOMETRY | 34238 | 1% | 13% | 4 |
Journals |
| chi_square_rank | term | chi_square | shrOfCwithTerm | shrOfTermInClass | termInClass |
|---|---|---|---|---|---|
| 1 | JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 81967 | 5% | 5% | 24 |
| 2 | SEMIGROUP FORUM | 57013 | 9% | 2% | 45 |
| 3 | JOURNAL OF LIE THEORY | 29644 | 4% | 2% | 19 |
| 4 | JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 6816 | 1% | 1% | 7 |
| 5 | MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 5070 | 1% | 1% | 6 |
| 6 | FORUM MATHEMATICUM | 4038 | 2% | 1% | 9 |
| 7 | SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2972 | 3% | 0% | 13 |
| 8 | MONATSHEFTE FUR MATHEMATIK | 2827 | 2% | 0% | 10 |
| 9 | INDAGATIONES MATHEMATICAE-NEW SERIES | 2591 | 1% | 1% | 7 |
| 10 | ANNALES DE L INSTITUT FOURIER | 2460 | 2% | 0% | 9 |
Author Key Words |
| chi_square_rank | term | chi_square | shrOfCwithTerm | shrOfTermInClass | termInClass | LCSH search | Wikipedia search |
|---|---|---|---|---|---|---|---|
| 1 | INVARIANCE ENTROPY | 603181 | 2% | 91% | 10 | Search INVARIANCE+ENTROPY | Search INVARIANCE+ENTROPY |
| 2 | LIE SEMIGROUPS | 442328 | 2% | 67% | 10 | Search LIE+SEMIGROUPS | Search LIE+SEMIGROUPS |
| 3 | SEMI SIMPLE LIE GROUPS | 422536 | 2% | 58% | 11 | Search SEMI+SIMPLE+LIE+GROUPS | Search SEMI+SIMPLE+LIE+GROUPS |
| 4 | INVARIANT CONTROL SETS | 398101 | 1% | 100% | 6 | Search INVARIANT+CONTROL+SETS | Search INVARIANT+CONTROL+SETS |
| 5 | CHAIN CONTROL SETS | 212319 | 1% | 80% | 4 | Search CHAIN+CONTROL+SETS | Search CHAIN+CONTROL+SETS |
| 6 | SEMIGROUP ACTION | 207330 | 2% | 31% | 10 | Search SEMIGROUP+ACTION | Search SEMIGROUP+ACTION |
| 7 | EQUIVALENT FLOWS | 199050 | 1% | 100% | 3 | Search EQUIVALENT+FLOWS | Search EQUIVALENT+FLOWS |
| 8 | HOMOTOPY OF TRAJECTORIES | 199050 | 1% | 100% | 3 | Search HOMOTOPY+OF+TRAJECTORIES | Search HOMOTOPY+OF+TRAJECTORIES |
| 9 | MONOTONIC HOMOTOPY | 199050 | 1% | 100% | 3 | Search MONOTONIC+HOMOTOPY | Search MONOTONIC+HOMOTOPY |
| 10 | FLAG MANIFOLDS | 183802 | 3% | 21% | 13 | Search FLAG+MANIFOLDS | Search FLAG+MANIFOLDS |
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. |
Classes with closest relation at Level 1 |