Class information for:
Level 1: NONLOCAL EIGENVALUE PROBLEM//GIERER MEINHARDT SYSTEM//SEMICONDUCTOR PHOTOGRAPHIC SYSTEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
16026 677 27.4 55%


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
355 3       PERMANENCE//GLOBAL STABILITY//HOPF BIFURCATION 34946
1877 2             CROSS DIFFUSION//TRAVELING WAVE FRONTS//SPREADING SPEED 6010
16026 1                   NONLOCAL EIGENVALUE PROBLEM//GIERER MEINHARDT SYSTEM//SEMICONDUCTOR PHOTOGRAPHIC SYSTEM 677

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 NONLOCAL EIGENVALUE PROBLEM authKW 909566 3% 92% 22
2 GIERER MEINHARDT SYSTEM authKW 566715 3% 74% 17
3 SEMICONDUCTOR PHOTOGRAPHIC SYSTEM authKW 270616 1% 100% 6
4 GAAS PHOTODETECTOR authKW 225513 1% 100% 5
5 REACTION DIFFUSION SYSTEMS authKW 187134 9% 7% 63
6 IR IMAGE CONVERTER authKW 180410 1% 100% 4
7 N TYPE NDR authKW 180410 1% 100% 4
8 GIERER MEINHARDT MODEL authKW 162365 1% 60% 6
9 SPIKE SOLUTION authKW 162365 1% 60% 6
10 GRAY SCOTT MODEL authKW 146121 1% 36% 9

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 6260 38% 0% 260
2 Physics, Mathematical 4601 23% 0% 158
3 Physics, Fluids & Plasmas 2397 15% 0% 101
4 Mathematics 889 17% 0% 114
5 Physics, Multidisciplinary 703 16% 0% 109
6 Imaging Science & Photographic Technology 351 3% 0% 23
7 Physics, Applied 154 13% 0% 85
8 Mathematical & Computational Biology 85 2% 0% 16
9 Mathematics, Interdisciplinary Applications 47 2% 0% 16
10 Optics 34 4% 0% 30

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 KORTEWEG DEVRIES 101479 0% 75% 3
2 NONLINEAR STUDIES COMPUTAT 100446 1% 32% 7
3 BASIC COU E 45103 0% 100% 1
4 CIENCIAS EXACTAS NAT IAFE 45103 0% 100% 1
5 CORP DEV GRP MIZUHO KU 45103 0% 100% 1
6 DE AT SUBST ORGAN PELIGROSAS 45103 0% 100% 1
7 NONLINEAR SCI PL MATH 33155 1% 15% 5
8 KORTEWEG VRIES 32795 1% 18% 4
9 ROPPONMATSU CHUO KU 22550 0% 50% 1
10 MEME MEDIA 12381 1% 5% 5

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 IMAGING SCIENCE JOURNAL 17705 2% 2% 16
2 SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 10848 2% 2% 13
3 EUROPEAN JOURNAL OF APPLIED MATHEMATICS 9968 2% 2% 12
4 PHYSICA D-NONLINEAR PHENOMENA 9173 5% 1% 36
5 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 4869 3% 1% 20
6 JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 4760 1% 2% 7
7 JOURNAL OF DIFFERENTIAL EQUATIONS 4200 4% 0% 26
8 SIAM JOURNAL ON APPLIED MATHEMATICS 3755 3% 0% 17
9 PHYSICAL REVIEW E 3752 10% 0% 67
10 JOURNAL OF NONLINEAR SCIENCE 3494 1% 1% 7

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 NONLOCAL EIGENVALUE PROBLEM 909566 3% 92% 22 Search NONLOCAL+EIGENVALUE+PROBLEM Search NONLOCAL+EIGENVALUE+PROBLEM
2 GIERER MEINHARDT SYSTEM 566715 3% 74% 17 Search GIERER+MEINHARDT+SYSTEM Search GIERER+MEINHARDT+SYSTEM
3 SEMICONDUCTOR PHOTOGRAPHIC SYSTEM 270616 1% 100% 6 Search SEMICONDUCTOR+PHOTOGRAPHIC+SYSTEM Search SEMICONDUCTOR+PHOTOGRAPHIC+SYSTEM
4 GAAS PHOTODETECTOR 225513 1% 100% 5 Search GAAS+PHOTODETECTOR Search GAAS+PHOTODETECTOR
5 REACTION DIFFUSION SYSTEMS 187134 9% 7% 63 Search REACTION+DIFFUSION+SYSTEMS Search REACTION+DIFFUSION+SYSTEMS
6 IR IMAGE CONVERTER 180410 1% 100% 4 Search IR+IMAGE+CONVERTER Search IR+IMAGE+CONVERTER
7 N TYPE NDR 180410 1% 100% 4 Search N+TYPE+NDR Search N+TYPE+NDR
8 GIERER MEINHARDT MODEL 162365 1% 60% 6 Search GIERER+MEINHARDT+MODEL Search GIERER+MEINHARDT+MODEL
9 SPIKE SOLUTION 162365 1% 60% 6 Search SPIKE+SOLUTION Search SPIKE+SOLUTION
10 GRAY SCOTT MODEL 146121 1% 36% 9 Search GRAY+SCOTT+MODEL Search GRAY+SCOTT+MODEL

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 PURWINS, HG , STOLLENWERK, L , (2014) SYNERGETIC ASPECTS OF GAS-DISCHARGE: LATERAL PATTERNS IN DC SYSTEMS WITH A HIGH OHMIC BARRIER.PLASMA PHYSICS AND CONTROLLED FUSION. VOL. 56. ISSUE 12. P. - 61 51% 5
2 CHEN, W , WARD, MJ , (2011) THE STABILITY AND DYNAMICS OF LOCALIZED SPOT PATTERNS IN THE TWO-DIMENSIONAL GRAY-SCOTT MODEL.SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. VOL. 10. ISSUE 2. P. 582-666 43 75% 12
3 KOLOKOLNIKOV, T , WARD, MJ , WEI, JC , (2014) THE STABILITY OF STEADY-STATE HOT-SPOT PATTERNS FOR A REACTION-DIFFUSION MODEL OF URBAN CRIME.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. VOL. 19. ISSUE 5. P. 1373 -1410 32 78% 5
4 CHIRILUS-BRUCKNER, M , DOELMAN, A , VAN HEIJSTER, P , RADEMACHER, JDM , (2015) BUTTERFLY CATASTROPHE FOR FRONTS IN A THREE-COMPONENT REACTION-DIFFUSION SYSTEM.JOURNAL OF NONLINEAR SCIENCE. VOL. 25. ISSUE 1. P. 87 -129 24 86% 1
5 KOLOKOLNIKOV, T , WARD, MJ , WEI, JC , (2006) SLOW TRANSLATIONAL INSTABILITIES OF SPIKE PATTERNS IN THE ONE-DIMENSIONAL GRAY-SCOTT MODEL.INTERFACES AND FREE BOUNDARIES. VOL. 8. ISSUE 2. P. 185 -222 31 82% 3
6 SUN, WT , WARD, MJ , RUSSELL, R , (2005) THE SLOW DYNAMICS OF TWO-SPIKE SOLUTIONS FOR THE GRAY-SCOTT AND GIERER-MEINHARDT SYSTEMS: COMPETITION AND OSCILLATORY INSTABILITIES.SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. VOL. 4. ISSUE 4. P. 904 -953 29 85% 31
7 KOLOKOLNIKOV, T , WARD, MJ , WEI, J , (2006) ZIGZAG AND BREAKUP INSTABILITIES OF STRIPES AND RINGS IN THE TWO-DIMENSIONAL GRAY-SCOTT MODEL.STUDIES IN APPLIED MATHEMATICS. VOL. 116. ISSUE 1. P. 35 -95 30 81% 10
8 CHEN, W , WARD, MJ , (2009) OSCILLATORY INSTABILITIES AND DYNAMICS OF MULTI-SPIKE PATTERNS FOR THE ONE-DIMENSIONAL GRAY-SCOTT MODEL.EUROPEAN JOURNAL OF APPLIED MATHEMATICS. VOL. 20. ISSUE . P. 187-214 28 76% 19
9 DOELMAN, A , VEERMAN, F , (2015) AN EXPLICIT THEORY FOR PULSES IN TWO COMPONENT, SINGULARLY PERTURBED, REACTION-DIFFUSION EQUATIONS.JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS. VOL. 27. ISSUE 3-4. P. 555 -595 24 77% 1
10 WEI, JC , WINTER, M , (2008) STATIONARY MULTIPLE SPOTS FOR REACTION-DIFFUSION SYSTEMS.JOURNAL OF MATHEMATICAL BIOLOGY. VOL. 57. ISSUE 1. P. 53 -89 35 59% 25

Classes with closest relation at Level 1


Rank Class id link
1 14670 CURRENT DENSITY FILAMENT//GUNN EFFECT//HIGH FIELD DOMAIN
2 14755 RENORMALIZED FUNCTIONAL//EQUAL AREA CONDITION//ALLEN CAHN EQUATION
3 16501 PIGMENT PATTERN//GROWING DOMAIN//XANTHOPHORE
4 2614 SPIRAL WAVE//EXCITABLE MEDIA//EXCITABLE MEDIUM
5 6646 NONLINEAR PHYS CHEM UNIT//SERV CHIM PHYS BIOL THEOR//NONLINEAR CHEM DYNAM
6 25647 PROPAGATION FAILURE//LATTICE DIFFERENTIAL EQUATIONS//MIXED TYPE FUNCTIONAL DIFFERENTIAL EQUATIONS
7 8797 CROSS DIFFUSION//COEXISTENCE STATES//CROSS DIFFUSION SYSTEM
8 4592 DIELECTRIC BARRIER DISCHARGE//DIELECTRIC BARRIER DISCHARGE DBD//ATMOSPHERIC PRESSURE GLOW DISCHARGE
9 2602 QUASILINEAR SCHRODINGER EQUATION//VARIATIONAL METHODS//SCHRODINGER POISSON SYSTEM
10 18085 MULTIPLE DOUBLE LAYERS//ANODIC DOUBLE LAYER//IONIZATION WAVES

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