Class information for:
Level 1: CANARDS//MIXED MODE OSCILLATIONS//SLOW FAST SYSTEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
16933 626 24.4 43%


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
197 3       CHAOS//INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS//PHYSICS, MATHEMATICAL 53660
386 2             ERGODIC THEORY AND DYNAMICAL SYSTEMS//NONLINEARITY//TOPOLOGICAL ENTROPY 16977
16933 1                   CANARDS//MIXED MODE OSCILLATIONS//SLOW FAST SYSTEM 626

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 CANARDS authKW 2240005 10% 71% 65
2 MIXED MODE OSCILLATIONS authKW 1288384 7% 61% 43
3 SLOW FAST SYSTEM authKW 694751 6% 41% 35
4 CANARD SOLUTIONS authKW 585327 2% 100% 12
5 FOLDED NODE authKW 341441 1% 100% 7
6 CANARD EXPLOSION authKW 292664 1% 100% 6
7 FOLDED SINGULARITY authKW 292664 1% 100% 6
8 GEOMETRIC SINGULAR PERTURBATION THEORY authKW 283006 3% 28% 21
9 SINGULAR PERTURBATION authKW 226734 15% 5% 95
10 CANARD SOLUTION authKW 199168 1% 58% 7

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 8477 46% 0% 289
2 Physics, Mathematical 4309 23% 0% 147
3 Mathematics 4254 36% 0% 226
4 Mathematical & Computational Biology 494 5% 0% 34
5 Mathematics, Interdisciplinary Applications 388 6% 0% 38
6 Mechanics 134 6% 0% 38
7 Physics, Multidisciplinary 125 8% 0% 51
8 Physics, Fluids & Plasmas 83 3% 0% 21
9 Biology 77 4% 0% 24
10 Logic 24 0% 0% 3

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 MANAGEMENT PROD TECHNOL 109747 0% 75% 3
2 IUT TOULON 86711 1% 44% 4
3 MATHNEURO TEAM 65035 0% 67% 2
4 MYCENAE 65035 0% 67% 2
5 DIFFERENTIAL EQUAT CONTROL THEORY 60028 1% 31% 4
6 ORG STRATEG COORDINAT INTELLECTUAL PROPERTY 56635 1% 19% 6
7 CNRS UMR 7241INSERMU1050MEMOLIFE PSL 48777 0% 100% 1
8 DEP CIENCIES MATEMAT INFORMAT 48777 0% 100% 1
9 EQUIPE MERE 48777 0% 100% 1
10 INTERDISCIPLINARY BIOLMEMOLIFE PSL 48777 0% 100% 1

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 SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 66809 5% 4% 31
2 CHAOS 12859 5% 1% 31
3 JOURNAL OF DIFFERENTIAL EQUATIONS 9747 6% 1% 38
4 SIAM JOURNAL ON APPLIED MATHEMATICS 9534 4% 1% 26
5 JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 3952 1% 1% 6
6 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 3860 4% 0% 26
7 JOURNAL OF NONLINEAR SCIENCE 3780 1% 1% 7
8 QUALITATIVE THEORY OF DYNAMICAL SYSTEMS 3320 0% 2% 3
9 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 2245 3% 0% 16
10 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 2087 2% 0% 12

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 CANARDS 2240005 10% 71% 65 Search CANARDS Search CANARDS
2 MIXED MODE OSCILLATIONS 1288384 7% 61% 43 Search MIXED+MODE+OSCILLATIONS Search MIXED+MODE+OSCILLATIONS
3 SLOW FAST SYSTEM 694751 6% 41% 35 Search SLOW+FAST+SYSTEM Search SLOW+FAST+SYSTEM
4 CANARD SOLUTIONS 585327 2% 100% 12 Search CANARD+SOLUTIONS Search CANARD+SOLUTIONS
5 FOLDED NODE 341441 1% 100% 7 Search FOLDED+NODE Search FOLDED+NODE
6 CANARD EXPLOSION 292664 1% 100% 6 Search CANARD+EXPLOSION Search CANARD+EXPLOSION
7 FOLDED SINGULARITY 292664 1% 100% 6 Search FOLDED+SINGULARITY Search FOLDED+SINGULARITY
8 GEOMETRIC SINGULAR PERTURBATION THEORY 283006 3% 28% 21 Search GEOMETRIC+SINGULAR+PERTURBATION+THEORY Search GEOMETRIC+SINGULAR+PERTURBATION+THEORY
9 SINGULAR PERTURBATION 226734 15% 5% 95 Search SINGULAR+PERTURBATION Search SINGULAR+PERTURBATION
10 CANARD SOLUTION 199168 1% 58% 7 Search CANARD+SOLUTION Search CANARD+SOLUTION

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 VO, T , WECHSELBERGER, M , (2015) CANARDS OF FOLDED SADDLE-NODE TYPE I.SIAM JOURNAL ON MATHEMATICAL ANALYSIS. VOL. 47. ISSUE 4. P. 3235 -3283 42 100% 0
2 KRUPA, M , WECHSELBERGER, M , (2010) LOCAL ANALYSIS NEAR A FOLDED SADDLE-NODE SINGULARITY.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 248. ISSUE 12. P. 2841-2888 29 97% 23
3 WECHSELBERGER, M , (2012) ABOUT CANARDS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 364. ISSUE 6. P. 3289-3309 25 96% 13
4 BURKE, J , DESROCHES, M , GRANADOS, A , KAPER, TJ , KRUPA, M , VO, T , (2016) FROM CANARDS OF FOLDED SINGULARITIES TO TORUS CANARDS IN A FORCED VAN DER POL EQUATION.JOURNAL OF NONLINEAR SCIENCE. VOL. 26. ISSUE 2. P. 405 -451 25 93% 0
5 DE MAESSCHALCK, P , (2015) PLANAR CANARDS WITH TRANSCRITICAL INTERSECTIONS.ACTA APPLICANDAE MATHEMATICAE. VOL. 137. ISSUE 1. P. 159 -184 22 100% 0
6 DESROCHES, M , GUILLAMON, A , PONCE, E , PROHENS, R , RODRIGUES, S , TERUEL, AE , (2016) CANARDS, FOLDED NODES, AND MIXED-MODE OSCILLATIONS IN PIECEWISE-LINEAR SLOW-FAST SYSTEMS.SIAM REVIEW. VOL. 58. ISSUE 4. P. 653 -691 27 79% 0
7 VO, T , BERTRAM, R , WECHSELBERGER, M , (2013) MULTIPLE GEOMETRIC VIEWPOINTS OF MIXED MODE DYNAMICS ASSOCIATED WITH PSEUDO-PLATEAU BURSTING.SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. VOL. 12. ISSUE 2. P. 789-830 34 64% 2
8 DESROCHES, M , GUCKENHEIMER, J , KRAUSKOPF, B , KUEHN, C , OSINGA, HM , WECHSELBERGER, M , (2012) MIXED-MODE OSCILLATIONS WITH MULTIPLE TIME SCALES.SIAM REVIEW. VOL. 54. ISSUE 2. P. 211 -288 51 32% 69
9 KRUPA, M , VIDAL, A , DESROCHES, M , CLEMENT, F , (2012) MIXED-MODE OSCILLATIONS IN A MULTIPLE TIME SCALE PHANTOM BURSTING SYSTEM.SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. VOL. 11. ISSUE 4. P. 1458-1498 21 91% 6
10 SHCHEPAKINA, E , KOROTKOVA, O , (2013) CANARD EXPLOSION IN CHEMICAL AND OPTICAL SYSTEMS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. VOL. 18. ISSUE 2. P. 495 -512 23 82% 1

Classes with closest relation at Level 1


Rank Class id link
1 3131 COHERENCE RESONANCE//SYNCHRONIZATION TRANSITION//BURSTING
2 15600 ORBIT FLIP//INCLINATION FLIP//T POINT
3 25932 MULTISCALE SIMULAT//GRP ETUD SYST NON LINEAI PLICAT//BVP OSCILLATOR
4 17494 BOREL SUMMABILITY//STOKES PHENOMENON//MULTISUMMABILITY
5 23278 AUTORESONANCE//SLOWLY VARYING PARAMETER//ASYMPTOTIC REPRESENTATION OF SOLUTIONS
6 20276 EARLY WARNING SIGNALS//CRITICAL TRANSITION//REGIME SHIFT
7 26270 AGGREGATION OF VARIABLES//APPROXIMATE AGGREGATION OF VARIABLES//AGGREGATION METHODS
8 11352 LOSS MODULATION//TODA OSCILLATOR//MODE LOCKING PROCESS
9 2324 LIMIT CYCLE//ABELIAN INTEGRALS//ISOCHRONOUS CENTER
10 6866 CHEMOSTAT//PERMANENCE//IMPULSIVE EFFECT

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