Class information for:
Level 1: PROPAGATION FAILURE//LATTICE DIFFERENTIAL EQUATIONS//MIXED TYPE FUNCTIONAL DIFFERENTIAL EQUATIONS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
25647 276 24.1 53%



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
25647 1                   PROPAGATION FAILURE//LATTICE DIFFERENTIAL EQUATIONS//MIXED TYPE FUNCTIONAL DIFFERENTIAL EQUATIONS 276

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 PROPAGATION FAILURE authKW 1968123 9% 68% 26
2 LATTICE DIFFERENTIAL EQUATIONS authKW 787453 4% 65% 11
3 MIXED TYPE FUNCTIONAL DIFFERENTIAL EQUATIONS authKW 746782 3% 75% 9
4 SPATIALLY DISCRETE authKW 331905 1% 100% 3
5 ADVANCED AND RETARDED ARGUMENTS authKW 252877 1% 57% 4
6 BISTABLE PARTIAL DIFFERENTIAL EQUATION authKW 221270 1% 100% 2
7 COUPLED NONLINEAR ELEMENTS authKW 221270 1% 100% 2
8 DISCRETE FITZHUGH NAGUMO EQUATION authKW 221270 1% 100% 2
9 DISCRETE FITZHUGH NAGUMO SYSTEM authKW 221270 1% 100% 2
10 DISCRETE KINKS authKW 221270 1% 100% 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 Mathematics, Applied 4147 49% 0% 134
2 Physics, Mathematical 3481 32% 0% 87
3 Physics, Fluids & Plasmas 827 14% 0% 38
4 Physics, Multidisciplinary 760 25% 0% 69
5 Mathematics 547 20% 0% 56
6 Mathematics, Interdisciplinary Applications 308 8% 0% 22
7 Mathematical & Computational Biology 218 5% 0% 15
8 Biology 78 5% 0% 15
9 Computer Science, Hardware & Architecture 31 2% 0% 6
10 Computer Science, Cybernetics 13 1% 0% 2

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 FRE 2309 197556 2% 36% 5
2 ELECT BIOINFOMAT 147512 1% 67% 2
3 FRE 2309AILE INGENIEUR 110635 0% 100% 1
4 IC LCN 110635 0% 100% 1
5 LE2IAILE SCI INGN 110635 0% 100% 1
6 LEWSI SIGLER INTEGRAT GENOM 110635 0% 100% 1
7 NETWORKS ECT BEHAV ARCHITECTURE CIVIL 110635 0% 100% 1
8 TEACHING STUDY MATH 110635 0% 100% 1
9 CIRCS 88506 1% 40% 2
10 CNRS 5158 63217 1% 29% 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 DYNAMICS AND DIFFERENTIAL EQUATIONS 8979 2% 1% 6
2 SIAM JOURNAL ON APPLIED MATHEMATICS 8201 6% 0% 16
3 SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 7720 3% 1% 7
4 PHYSICA D-NONLINEAR PHENOMENA 5023 6% 0% 17
5 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 4508 5% 0% 15
6 JOURNAL OF MATHEMATICAL BIOLOGY 3041 3% 0% 8
7 PHYSICAL REVIEW E 2246 12% 0% 33
8 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 1723 2% 0% 5
9 JOURNAL OF DIFFERENTIAL EQUATIONS 1523 4% 0% 10
10 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 1461 3% 0% 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 PROPAGATION FAILURE 1968123 9% 68% 26 Search PROPAGATION+FAILURE Search PROPAGATION+FAILURE
2 LATTICE DIFFERENTIAL EQUATIONS 787453 4% 65% 11 Search LATTICE+DIFFERENTIAL+EQUATIONS Search LATTICE+DIFFERENTIAL+EQUATIONS
3 MIXED TYPE FUNCTIONAL DIFFERENTIAL EQUATIONS 746782 3% 75% 9 Search MIXED+TYPE+FUNCTIONAL+DIFFERENTIAL+EQUATIONS Search MIXED+TYPE+FUNCTIONAL+DIFFERENTIAL+EQUATIONS
4 SPATIALLY DISCRETE 331905 1% 100% 3 Search SPATIALLY+DISCRETE Search SPATIALLY+DISCRETE
5 ADVANCED AND RETARDED ARGUMENTS 252877 1% 57% 4 Search ADVANCED+AND+RETARDED+ARGUMENTS Search ADVANCED+AND+RETARDED+ARGUMENTS
6 BISTABLE PARTIAL DIFFERENTIAL EQUATION 221270 1% 100% 2 Search BISTABLE+PARTIAL+DIFFERENTIAL+EQUATION Search BISTABLE+PARTIAL+DIFFERENTIAL+EQUATION
7 COUPLED NONLINEAR ELEMENTS 221270 1% 100% 2 Search COUPLED+NONLINEAR+ELEMENTS Search COUPLED+NONLINEAR+ELEMENTS
8 DISCRETE FITZHUGH NAGUMO EQUATION 221270 1% 100% 2 Search DISCRETE+FITZHUGH+NAGUMO+EQUATION Search DISCRETE+FITZHUGH+NAGUMO+EQUATION
9 DISCRETE FITZHUGH NAGUMO SYSTEM 221270 1% 100% 2 Search DISCRETE+FITZHUGH+NAGUMO+SYSTEM Search DISCRETE+FITZHUGH+NAGUMO+SYSTEM
10 DISCRETE KINKS 221270 1% 100% 2 Search DISCRETE+KINKS Search DISCRETE+KINKS

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 LYDON, E , MOORE, BE , (2016) PROPAGATION FAILURE OF FRONTS IN DISCRETE INHOMOGENEOUS MEDIA WITH A SAWTOOTH NONLINEARITY.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. VOL. 22. ISSUE 12. P. 1930 -1947 17 77% 0
2 NEKORKIN, VI , KAZANTSEV, VB , MORFU, S , BILBAULT, JM , MARQUIE, P , (2001) THEORETICAL AND EXPERIMENTAL STUDY OF TWO DISCRETE COUPLED NAGUMO CHAINS.PHYSICAL REVIEW E. VOL. 64. ISSUE 3. P. - 21 88% 8
3 MOORE, BE , SEGAL, JM , (2014) STATIONARY BISTABLE PULSES IN DISCRETE INHOMOGENEOUS MEDIA.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. VOL. 20. ISSUE 1. P. 1 -23 18 72% 0
4 HUPKES, HJ , VAN VLECK, ES , (2016) TRAVELLING WAVES FOR COMPLETE DISCRETIZATIONS OF REACTION DIFFUSION SYSTEMS.JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS. VOL. 28. ISSUE 3-4. P. 955 -1006 15 75% 0
5 HUMPHRIES, AR , MOORE, BE , VAN VLECK, ES , (2011) FRONT SOLUTIONS FOR BISTABLE DIFFERENTIAL-DIFFERENCE EQUATIONS WITH INHOMOGENEOUS DIFFUSION.SIAM JOURNAL ON APPLIED MATHEMATICS. VOL. 71. ISSUE 4. P. 1374 -1400 19 59% 2
6 BINCZAK, S , BILBAULT, JM , (2004) EXPERIMENTAL PROPAGATION FAILURE IN A NONLINEAR ELECTRICAL LATTICE.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. VOL. 14. ISSUE 5. P. 1819-1830 14 88% 8
7 COMTE, JC , MORFU, S , MARQUIE, P , (2001) PROPAGATION FAILURE IN DISCRETE BISTABLE REACTION-DIFFUSION SYSTEMS: THEORY AND EXPERIMENTS.PHYSICAL REVIEW E. VOL. 64. ISSUE 2. P. - 14 93% 12
8 IDE, Y , IZUHARA, H , MACHIDA, T , (2016) TURING INSTABILITY IN REACTION-DIFFUSION MODELS ON COMPLEX NETWORKS.PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS. VOL. 457. ISSUE . P. 331 -347 14 64% 0
9 HUPKES, HJ , SANDSTEDE, B , (2010) TRAVELING PULSE SOLUTIONS FOR THE DISCRETE FITZHUGH-NAGUMO SYSTEM.SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. VOL. 9. ISSUE 3. P. 827 -882 17 57% 12
10 ELMER, CE , VAN VLECK, ES , (2005) SPATIALLY DISCRETE FITZHUGH-NAGUMO EQUATIONS.SIAM JOURNAL ON APPLIED MATHEMATICS. VOL. 65. ISSUE 4. P. 1153 -1174 17 63% 19

Classes with closest relation at Level 1



Rank Class id link
1 3912 TRAVELING WAVE FRONTS//SPREADING SPEED//NONLOCAL DISPERSAL
2 12235 CELLULAR NEURAL NETWORKS//CNN//CELLULAR NONLINEAR NETWORKS
3 15600 ORBIT FLIP//INCLINATION FLIP//T POINT
4 30482 SEMIREGULAR SOLUTION//DISCONTINUOUS NONLINEARITIES//POTENTIAL BOUNDS
5 16026 NONLOCAL EIGENVALUE PROBLEM//GIERER MEINHARDT SYSTEM//SEMICONDUCTOR PHOTOGRAPHIC SYSTEM
6 34041 ASYMPTOTIC SUCCESSIVE CORRECTION METHODS//GEODYNAM EXPLOS//MODULATED EQUATION
7 23175 MOLECULAR IMAGE PROCESSING DEVICES//COMP PHYS MATH SIMULAT//PROBLEMS OF HIGH COMPUTATIONAL COMPLEXITY
8 2614 SPIRAL WAVE//EXCITABLE MEDIA//EXCITABLE MEDIUM
9 4698 PULLBACK ATTRACTOR//GLOBAL ATTRACTOR//RANDOM ATTRACTOR
10 6001 DISCRETE BREATHERS//INTRINSIC LOCALIZED MODES//DISCRETE NONLINEAR SCHRODINGER EQUATION

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