Class information for:
Level 1: RENORMALIZATION GROUP METHOD//INCLINED FILM FLOW//AMPLITUDE EQUATION

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
22105 393 23.1 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
244 3       MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP 46988
704 2             NAVIER STOKES EQUATIONS//GLOBAL ATTRACTOR//CAHN HILLIARD EQUATION 12952
22105 1                   RENORMALIZATION GROUP METHOD//INCLINED FILM FLOW//AMPLITUDE EQUATION 393

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 RENORMALIZATION GROUP METHOD authKW 514157 4% 44% 15
2 INCLINED FILM FLOW authKW 233092 1% 100% 3
3 AMPLITUDE EQUATION authKW 229286 3% 27% 11
4 DIFFUSIVE STABILITY authKW 174817 1% 75% 3
5 INTEGRAL BOUNDARY LAYER EQUATION authKW 155395 1% 100% 2
6 MULTIPLE SCALE PROBLEMS authKW 155395 1% 100% 2
7 RENORMGROUP SYMMETRY authKW 155395 1% 100% 2
8 FAST DIFFUSION LIMIT authKW 103595 1% 67% 2
9 LJAPOUNOV STABILITY authKW 103595 1% 67% 2
10 MODULATED FRONTS authKW 103595 1% 67% 2

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 Physics, Mathematical 5301 33% 0% 128
2 Mathematics, Applied 3789 39% 0% 154
3 Physics, Multidisciplinary 1029 24% 0% 96
4 Mathematics 479 16% 0% 64
5 Mechanics 299 10% 0% 41
6 Physics, Fluids & Plasmas 290 7% 0% 28
7 Mathematics, Interdisciplinary Applications 74 4% 0% 14
8 Multidisciplinary Sciences 22 2% 0% 6
9 Physics, Particles & Fields 9 3% 0% 10
10 Engineering, General 7 2% 0% 6

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 1 96209 5% 6% 21
2 ANAL DYNAM MODELLIERUNG 82793 2% 12% 9
3 BOGOLIUBOV THEOR 77697 0% 100% 1
4 CNRS UPR 14 77697 0% 100% 1
5 CRED RISK ANAL 77697 0% 100% 1
6 DIPARTIMENTO FIS IST NAZL FIS NUCL SEZ BOLOGNA 77697 0% 100% 1
7 GEN ORG SCI ENGN 77697 0% 100% 1
8 NAC COMP CIENT 77697 0% 100% 1
9 ANAL TECHNOL 36950 2% 7% 7
10 IADM 28250 1% 18% 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 JOURNAL OF NONLINEAR SCIENCE 12313 3% 2% 10
2 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 4343 3% 0% 12
3 SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 3978 2% 1% 6
4 COMMUNICATIONS IN MATHEMATICAL PHYSICS 3425 5% 0% 19
5 PROGRESS OF THEORETICAL PHYSICS 2959 4% 0% 15
6 STUDIES IN APPLIED MATHEMATICS 2517 2% 1% 6
7 JOURNAL OF DIFFERENTIAL EQUATIONS 2408 4% 0% 15
8 ASYMPTOTIC ANALYSIS 1635 1% 0% 5
9 NONLINEARITY 1517 2% 0% 8
10 PHYSICA D-NONLINEAR PHENOMENA 1465 3% 0% 11

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 RENORMALIZATION GROUP METHOD 514157 4% 44% 15 Search RENORMALIZATION+GROUP+METHOD Search RENORMALIZATION+GROUP+METHOD
2 INCLINED FILM FLOW 233092 1% 100% 3 Search INCLINED+FILM+FLOW Search INCLINED+FILM+FLOW
3 AMPLITUDE EQUATION 229286 3% 27% 11 Search AMPLITUDE+EQUATION Search AMPLITUDE+EQUATION
4 DIFFUSIVE STABILITY 174817 1% 75% 3 Search DIFFUSIVE+STABILITY Search DIFFUSIVE+STABILITY
5 INTEGRAL BOUNDARY LAYER EQUATION 155395 1% 100% 2 Search INTEGRAL+BOUNDARY+LAYER+EQUATION Search INTEGRAL+BOUNDARY+LAYER+EQUATION
6 MULTIPLE SCALE PROBLEMS 155395 1% 100% 2 Search MULTIPLE+SCALE+PROBLEMS Search MULTIPLE+SCALE+PROBLEMS
7 RENORMGROUP SYMMETRY 155395 1% 100% 2 Search RENORMGROUP+SYMMETRY Search RENORMGROUP+SYMMETRY
8 FAST DIFFUSION LIMIT 103595 1% 67% 2 Search FAST+DIFFUSION+LIMIT Search FAST+DIFFUSION+LIMIT
9 LJAPOUNOV STABILITY 103595 1% 67% 2 Search LJAPOUNOV+STABILITY Search LJAPOUNOV+STABILITY
10 MODULATED FRONTS 103595 1% 67% 2 Search MODULATED+FRONTS Search MODULATED+FRONTS

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 O'MALLEY, RE , KIRKINIS, E , (2015) VARIATION OF PARAMETERS AND THE RENORMALIZATION GROUP METHOD.STUDIES IN APPLIED MATHEMATICS. VOL. 134. ISSUE 2. P. 215 -232 21 100% 0
2 CHIBA, H , (2009) EXTENSION AND UNIFICATION OF SINGULAR PERTURBATION METHODS FOR ODES BASED ON THE RENORMALIZATION GROUP METHOD.SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. VOL. 8. ISSUE 3. P. 1066 -1115 23 79% 11
3 KAI, Y , (2016) GLOBAL SOLUTIONS TO TWO NONLINEAR PERTURBED EQUATIONS BY RENORMALIZATION GROUP METHOD.PHYSICA SCRIPTA. VOL. 91. ISSUE 2. P. - 16 89% 0
4 HOLZER, M , KAPER, TJ , (2014) AN ANALYSIS OF THE RENORMALIZATION GROUP METHOD FOR ASYMPTOTIC EXPANSIONS WITH LOGARITHMIC SWITCHBACK TERMS.ADVANCES IN DIFFERENTIAL EQUATIONS. VOL. 19. ISSUE 3-4. P. 245 -282 17 85% 2
5 KIRKINIS, E , (2012) THE RENORMALIZATION GROUP: A PERTURBATION METHOD FOR THE GRADUATE CURRICULUM.SIAM REVIEW. VOL. 54. ISSUE 2. P. 374-388 20 71% 8
6 SCHNEIDER, G , (2001) BIFURCATION THEORY FOR DISSIPATIVE SYSTEMS ON UNBOUNDED CYLINDRICAL DOMAINS - AN INTRODUCTION TO THE MATHEMATICAL THEORY OF MODULATION EQUATIONS.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK. VOL. 81. ISSUE 8. P. 507-522 26 68% 4
7 GOTO, SI , (2007) RENORMALIZATION REDUCTIONS FOR SYSTEMS WITH DELAY.PROGRESS OF THEORETICAL PHYSICS. VOL. 118. ISSUE 2. P. 211 -227 22 67% 3
8 DULL, WP , (2012) A WAITING TIME PHENOMENON FOR MODULATIONS OF PATTERN IN REACTION-DIFFUSION SYSTEMS.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. VOL. 63. ISSUE 1. P. 1 -23 16 80% 0
9 TSUMURA, K , KIKUCHI, Y , KUNIHIRO, T , (2016) CAUSAL HYDRODYNAMICS FROM KINETIC THEORY BY DOUBLET SCHEME IN RENORMALIZATION-GROUP METHOD.PHYSICA D-NONLINEAR PHENOMENA. VOL. 336. ISSUE . P. 1 -27 17 65% 0
10 CHIBA, H , (2008) APPROXIMATION OF CENTER MANIFOLDS ON THE RENORMALIZATION GROUP METHOD.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 49. ISSUE 10. P. - 13 100% 9

Classes with closest relation at Level 1



Rank Class id link
1 35041 FERMIONIC SYSTEM//FLOPPING//FOUR LEVELS
2 16726 VORTEX SHEET//MUSKAT PROBLEM//CURVATURE SINGULARITY
3 15125 COMPLEX GINZBURG LANDAU EQUATION//GINZBURG LANDAU EQUATION//GENERALIZED GINZBURG LANDAU EQUATION
4 7764 EVANS FUNCTION//VISCOUS CONSERVATION LAWS//RAREFACTION WAVE
5 17607 CNRS URA 765//DEPARTURE FROM PARTIAL EQUILIBRIUM//FINITE MEMORY EFFECT
6 37179 PL MATH BIOSCI MED CAMBAM//CORRECTIONS TO GAUSSIAN BEHAVIOR//DIFFERENTIAL DELAY EQUATION DDE
7 27936 FUS STUDIES PROGRAM//UFR MATH PU PL//2D CUBIC SCHRODINGER EQUATION
8 22362 PHASE FIELD CRYSTAL//PHASE FIELD CRYSTAL MODEL//DYNAMICAL DENSITY FUNCTIONAL THEORY
9 26997 ATTRACTOR BIFURCATION//DYNAMIC TRANSITION THEORY//EXTENDED FISHER KOLMOGOROV EQUATION
10 25862 AVERAGING PRINCIPLE//GLUING CONDITIONS//ERGODIC AND STRONGLY MIXING PROCESSES

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