Class information for: |
Basic class information |
Class id | #P | Avg. number of references |
Database coverage of references |
---|---|---|---|
19703 | 493 | 18.9 | 34% |
Hierarchy of classes |
The table includes all classes above and classes immediately below the current class. |
Cluster id | Level | Cluster label | #P |
---|---|---|---|
9 | 4 | COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS | 1247339 |
74 | 3 | AUTOMATION & CONTROL SYSTEMS//IEEE TRANSACTIONS ON AUTOMATIC CONTROL//AUTOMATICA | 82579 |
2787 | 2 | BIFURCATION CONTROL//NORMAL FORM//UNIT IND AUTOMAT | 3108 |
19703 | 1 | NORMAL FORM//UNIQUE NORMAL FORM//FURTHER REDUCTION | 493 |
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 | NORMAL FORM | authKW | 402993 | 16% | 8% | 81 |
2 | UNIQUE NORMAL FORM | authKW | 379361 | 1% | 88% | 7 |
3 | FURTHER REDUCTION | authKW | 247747 | 1% | 100% | 4 |
4 | NILPOTENT LINEAR PART | authKW | 247747 | 1% | 100% | 4 |
5 | PARAMETRIC NORMAL FORM | authKW | 247747 | 1% | 100% | 4 |
6 | THE SIMPLEST NORMAL FORM | authKW | 247747 | 1% | 100% | 4 |
7 | CONVENTIONAL NORMAL FORM | authKW | 185810 | 1% | 100% | 3 |
8 | FORMAL ORBITAL NORMAL FORM | authKW | 185810 | 1% | 100% | 3 |
9 | POINCARE DULAC NORMAL FORM | authKW | 140760 | 1% | 45% | 5 |
10 | HOPF ZERO SINGULARITY | authKW | 139356 | 1% | 75% | 3 |
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 | 5991 | 44% | 0% | 216 |
2 | Mathematics | 3195 | 35% | 0% | 174 |
3 | Mechanics | 2099 | 23% | 0% | 114 |
4 | Physics, Mathematical | 1374 | 15% | 0% | 75 |
5 | Mathematics, Interdisciplinary Applications | 733 | 9% | 0% | 45 |
6 | Engineering, Mechanical | 381 | 10% | 0% | 48 |
7 | Acoustics | 314 | 5% | 0% | 25 |
8 | Physics, Multidisciplinary | 118 | 9% | 0% | 43 |
9 | Engineering, General | 107 | 4% | 0% | 20 |
10 | Automation & Control Systems | 48 | 2% | 0% | 12 |
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 | AGAT UMR 8524 | 82581 | 0% | 67% | 2 |
2 | FAEA | 82581 | 0% | 67% | 2 |
3 | INVEST INGN ELECT ALFREDO DESAGES UNS CONICE | 82581 | 0% | 67% | 2 |
4 | ESCUELA POLITECHN SUPER | 61937 | 0% | 100% | 1 |
5 | INGN ELECT COMPUADORAS | 61937 | 0% | 100% | 1 |
6 | MATEMAT INFORMAT GRP MECAN ESPACIAL | 61937 | 0% | 100% | 1 |
7 | MATH COMP SCI PLICAT | 61937 | 0% | 100% | 1 |
8 | MTH EMILE PICARD | 61937 | 0% | 100% | 1 |
9 | UMR 5030GTA | 61937 | 0% | 100% | 1 |
10 | JA DIEUDONNE UMR 6621 | 49547 | 0% | 40% | 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 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 7582 | 5% | 0% | 26 |
2 | JOURNAL OF DIFFERENTIAL EQUATIONS | 4523 | 5% | 0% | 23 |
3 | DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS | 4403 | 2% | 1% | 8 |
4 | APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 4124 | 3% | 0% | 14 |
5 | DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS | 3318 | 1% | 1% | 7 |
6 | INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 3187 | 3% | 0% | 13 |
7 | ANNALES DE L INSTITUT FOURIER | 2838 | 2% | 0% | 10 |
8 | NONLINEARITY | 2289 | 2% | 0% | 11 |
9 | REGULAR & CHAOTIC DYNAMICS | 2281 | 1% | 1% | 5 |
10 | NONLINEAR DYNAMICS | 2093 | 3% | 0% | 13 |
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 | NORMAL FORM | 402993 | 16% | 8% | 81 | Search NORMAL+FORM | Search NORMAL+FORM |
2 | UNIQUE NORMAL FORM | 379361 | 1% | 88% | 7 | Search UNIQUE+NORMAL+FORM | Search UNIQUE+NORMAL+FORM |
3 | FURTHER REDUCTION | 247747 | 1% | 100% | 4 | Search FURTHER+REDUCTION | Search FURTHER+REDUCTION |
4 | NILPOTENT LINEAR PART | 247747 | 1% | 100% | 4 | Search NILPOTENT+LINEAR+PART | Search NILPOTENT+LINEAR+PART |
5 | PARAMETRIC NORMAL FORM | 247747 | 1% | 100% | 4 | Search PARAMETRIC+NORMAL+FORM | Search PARAMETRIC+NORMAL+FORM |
6 | THE SIMPLEST NORMAL FORM | 247747 | 1% | 100% | 4 | Search THE+SIMPLEST+NORMAL+FORM | Search THE+SIMPLEST+NORMAL+FORM |
7 | CONVENTIONAL NORMAL FORM | 185810 | 1% | 100% | 3 | Search CONVENTIONAL+NORMAL+FORM | Search CONVENTIONAL+NORMAL+FORM |
8 | FORMAL ORBITAL NORMAL FORM | 185810 | 1% | 100% | 3 | Search FORMAL+ORBITAL+NORMAL+FORM | Search FORMAL+ORBITAL+NORMAL+FORM |
9 | POINCARE DULAC NORMAL FORM | 140760 | 1% | 45% | 5 | Search POINCARE+DULAC+NORMAL+FORM | Search POINCARE+DULAC+NORMAL+FORM |
10 | HOPF ZERO SINGULARITY | 139356 | 1% | 75% | 3 | Search HOPF+ZERO+SINGULARITY | Search HOPF+ZERO+SINGULARITY |
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 | GAZOR, M , YU, P , (2010) FORMAL DECOMPOSITION METHOD AND PARAMETRIC NORMAL FORMS.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. VOL. 20. ISSUE 11. P. 3487 -3515 | 27 | 100% | 1 |
2 | GAZOR, M , MOAZENI, M , (2015) PARAMETRIC NORMAL FORMS FOR BOGDANOV-TAKENS SINGULARITY; THE GENERALIZED SADDLE-NODE CASE.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 35. ISSUE 1. P. 205 -224 | 23 | 88% | 0 |
3 | YU, P , LEUNG, AYT , (2007) NORMAL FORMS OF VECTOR FIELDS WITH PERTURBATION PARAMETERS AND THEIR APPLICATION.CHAOS SOLITONS & FRACTALS. VOL. 34. ISSUE 2. P. 564-579 | 23 | 100% | 4 |
4 | GAZOR, M , MOKHTARI, F , SANDERS, JA , (2013) NORMAL FORMS FOR HOPF-ZERO SINGULARITIES WITH NONCONSERVATIVE NONLINEAR PART.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 254. ISSUE 3. P. 1571-1581 | 19 | 95% | 3 |
5 | GAZOR, H , (2013) NORMAL FORM OF BOGDANOV-TAKENS: STYLES AND A HYPERNORMALIZATION METHOD.NONLINEAR DYNAMICS. VOL. 72. ISSUE 3. P. 499-505 | 20 | 87% | 1 |
6 | YU, P , GAZOR, M , (2008) INFINITE ORDER PARAMETRIC NORMAL FORM OF HOPF SINGULARITY.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. VOL. 18. ISSUE 11. P. 3393 -3408 | 22 | 88% | 3 |
7 | SANDERS, JA , (2003) NORMAL FORM THEORY AND SPECTRAL SEQUENCES.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 192. ISSUE 2. P. 536-552 | 21 | 100% | 23 |
8 | GAZOR, M , YU, P , (2012) SPECTRAL SEQUENCES AND PARAMETRIC NORMAL FORMS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 252. ISSUE 2. P. 1003 -1031 | 19 | 83% | 6 |
9 | GAZOR, M , MOKHTARI, F , (2013) VOLUME-PRESERVING NORMAL FORMS OF HOPF-ZERO SINGULARITY.NONLINEARITY. VOL. 26. ISSUE 10. P. 2809-2832 | 22 | 71% | 0 |
10 | YU, P , LEUNG, AYT , (2003) THE SIMPLEST NORMAL FORM OF HOPF BIFURCATION.NONLINEARITY. VOL. 16. ISSUE 1. P. 277-300 | 19 | 100% | 21 |
Classes with closest relation at Level 1 |