Class information for:
Level 1: STATE DEPENDENT DELAY//HOPF BIFURCATION//DOUBLE HOPF BIFURCATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8427 1254 23.7 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
197 3       CHAOS//INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS//PHYSICS, MATHEMATICAL 53660
1806 2             GLOBAL EXPONENTIAL STABILITY//CELLULAR NEURAL NETWORKS//TIME VARYING DELAY 6266
8427 1                   STATE DEPENDENT DELAY//HOPF BIFURCATION//DOUBLE HOPF BIFURCATION 1254

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 STATE DEPENDENT DELAY authKW 674622 5% 41% 67
2 HOPF BIFURCATION authKW 507389 17% 10% 214
3 DOUBLE HOPF BIFURCATION authKW 414965 2% 61% 28
4 DELAY DIFFERENTIAL EQUATIONS authKW 332332 10% 11% 121
5 STABILITY SWITCHES authKW 194766 2% 40% 20
6 RING NEURAL NETWORK authKW 173145 1% 89% 8
7 HOPF PITCHFORK BIFURCATION authKW 149134 1% 88% 7
8 GRAPHICAL HOPF BIFURCATION THEOREM authKW 146092 0% 100% 6
9 DIFFERENTIABILITY WITH RESPECT TO PARAMETERS authKW 125220 0% 86% 6
10 EXPONENTIAL TRANSIENT authKW 125220 0% 86% 6

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 20217 50% 0% 630
2 Mathematics, Interdisciplinary Applications 6103 16% 0% 202
3 Mathematics 5281 29% 0% 361
4 Physics, Mathematical 4232 17% 0% 209
5 Mechanics 2774 17% 0% 213
6 Engineering, Mechanical 1333 11% 0% 141
7 Physics, Multidisciplinary 938 14% 0% 175
8 Computer Science, Artificial Intelligence 829 7% 0% 91
9 Physics, Fluids & Plasmas 206 4% 0% 46
10 Acoustics 186 3% 0% 33

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 ECONOMETR 94804 5% 7% 59
2 VIBRAT ENGN 85884 2% 12% 30
3 BASIC SCI ART 48697 0% 100% 2
4 ANAL STOCHAST GRP 35403 1% 18% 8
5 AEROSP ENGN PL MECH 34970 2% 5% 31
6 GUIZHOU ECON SYST SIMULAT 29197 1% 10% 12
7 FO TRY PLANT ECOL 27389 0% 38% 3
8 BOLYAI 27341 2% 4% 27
9 2644 LAHAV 24349 0% 100% 1
10 BOLYAI INTSTITUTE 24349 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 NONLINEAR DYNAMICS 41529 7% 2% 92
2 JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 34305 2% 6% 25
3 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 29688 7% 1% 82
4 JOURNAL OF DIFFERENTIAL EQUATIONS 13781 5% 1% 64
5 CHAOS SOLITONS & FRACTALS 11852 5% 1% 62
6 NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 7702 2% 1% 28
7 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 5282 2% 1% 27
8 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 4228 5% 0% 61
9 DISCRETE DYNAMICS IN NATURE AND SOCIETY 4101 2% 1% 19
10 COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 4066 2% 1% 25

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 STATE DEPENDENT DELAY 674622 5% 41% 67 Search STATE+DEPENDENT+DELAY Search STATE+DEPENDENT+DELAY
2 HOPF BIFURCATION 507389 17% 10% 214 Search HOPF+BIFURCATION Search HOPF+BIFURCATION
3 DOUBLE HOPF BIFURCATION 414965 2% 61% 28 Search DOUBLE+HOPF+BIFURCATION Search DOUBLE+HOPF+BIFURCATION
4 DELAY DIFFERENTIAL EQUATIONS 332332 10% 11% 121 Search DELAY+DIFFERENTIAL+EQUATIONS Search DELAY+DIFFERENTIAL+EQUATIONS
5 STABILITY SWITCHES 194766 2% 40% 20 Search STABILITY+SWITCHES Search STABILITY+SWITCHES
6 RING NEURAL NETWORK 173145 1% 89% 8 Search RING+NEURAL+NETWORK Search RING+NEURAL+NETWORK
7 HOPF PITCHFORK BIFURCATION 149134 1% 88% 7 Search HOPF+PITCHFORK+BIFURCATION Search HOPF+PITCHFORK+BIFURCATION
8 GRAPHICAL HOPF BIFURCATION THEOREM 146092 0% 100% 6 Search GRAPHICAL+HOPF+BIFURCATION+THEOREM Search GRAPHICAL+HOPF+BIFURCATION+THEOREM
9 DIFFERENTIABILITY WITH RESPECT TO PARAMETERS 125220 0% 86% 6 Search DIFFERENTIABILITY+WITH+RESPECT+TO+PARAMETERS Search DIFFERENTIABILITY+WITH+RESPECT+TO+PARAMETERS
10 EXPONENTIAL TRANSIENT 125220 0% 86% 6 Search EXPONENTIAL+TRANSIENT Search EXPONENTIAL+TRANSIENT

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 XU, CJ , ZHANG, QM , WU, YS , (2016) BIFURCATION ANALYSIS OF TWO-NEURON NETWORKS WITH DISCRETE AND DISTRIBUTED DELAYS.COGNITIVE COMPUTATION. VOL. 8. ISSUE 6. P. 1103 -1118 39 83% 0
2 JIANG, HP , SONG, YL , (2015) NORMAL FORMS OF NON-RESONANCE AND WEAK RESONANCE DOUBLE HOPF BIFURCATION IN THE RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS AND APPLICATIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 266. ISSUE . P. 1102 -1126 30 94% 2
3 XU, CJ , ZHANG, QM , WU, YS , (2016) BIFURCATION ANALYSIS IN A THREE-NEURON ARTIFICIAL NEURAL NETWORK MODEL WITH DISTRIBUTED DELAYS.NEURAL PROCESSING LETTERS. VOL. 44. ISSUE 2. P. 343 -373 33 80% 0
4 LIU, YW , LIU, X , LI, SS , WANG, RQ , LIU, ZR , (2015) THE BOGDANOV-TAKENS BIFURCATION STUDY OF 2M COUPLED NEURONS SYSTEM WITH 2M+1 DELAYS.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - 23 100% 0
5 GE, JH , XU, J , (2015) DOUBLE HOPF BIFURCATION IN A FOUR-NEURON DELAYED SYSTEM WITH INERTIAL TERMS.NONLINEAR DYNAMICS. VOL. 82. ISSUE 4. P. 1969 -1978 23 100% 0
6 SONG, ZG , XU, J , (2014) STABILITY SWITCHES AND BOGDANOV-TAKENS BIFURCATION IN AN INERTIAL TWO-NEURON COUPLING SYSTEM WITH MULTIPLE DELAYS.SCIENCE CHINA-TECHNOLOGICAL SCIENCES. VOL. 57. ISSUE 5. P. 893 -904 22 88% 22
7 SONG, YL , JIANG, J , (2012) STEADY-STATE, HOPF AND STEADY-STATE-HOPF BIFURCATIONS IN DELAY DIFFERENTIAL EQUATIONS WITH APPLICATIONS TO A DAMPED HARMONIC OSCILLATOR WITH DELAY FEEDBACK.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. VOL. 22. ISSUE 12. P. - 25 96% 1
8 WANG, JL , LIU, X , LIANG, JL , (2017) BOGDANOV-TAKENS BIFURCATION IN AN OSCILLATOR WITH POSITIVE DAMPING AND MULTIPLE DELAYS.NONLINEAR DYNAMICS. VOL. 87. ISSUE 1. P. 255 -269 27 77% 0
9 XU, CJ , SHAO, YF , LI, PL , (2015) BIFURCATION BEHAVIOR FOR AN ELECTRONIC NEURAL NETWORK MODEL WITH TWO DIFFERENT DELAYS.NEURAL PROCESSING LETTERS. VOL. 42. ISSUE 3. P. 541 -561 25 86% 0
10 XU, CJ , LI, PL , (2016) DYNAMICS IN FOUR-NEURON BIDIRECTIONAL ASSOCIATIVE MEMORY NETWORKS WITH INERTIA AND MULTIPLE DELAYS.COGNITIVE COMPUTATION. VOL. 8. ISSUE 1. P. 78 -104 33 62% 0

Classes with closest relation at Level 1


Rank Class id link
1 400 GLOBAL EXPONENTIAL STABILITY//TIME VARYING DELAY//COHEN GROSSBERG NEURAL NETWORKS
2 31590 STICK BALANCING//HUMAN BALANCING//INTERMITTENT CONTROL
3 22851 BIFURCATION CONTROL//CONTROL BIFURCATIONS//FEEDBACK CLASSIFICATION
4 20937 CYCLIC THROMBOCYTOPENIA//CYCLICAL NEUTROPENIA//ACQUIRED AMEGAKARYOCYTIC THROMBOCYTOPENIA
5 834 POSITIVE PERIODIC SOLUTION//PERMANENCE//PREDATOR PREY SYSTEM
6 13858 SOMMERFELD EFFECT//NON IDEAL SYSTEM//ELECT ENGN MENOUF
7 23966 GENETIC REGULATORY NETWORKS//GENETIC REGULATORY NETWORKS GRNS//DISCRETE TIME GENETIC REGULATORY NETWORK
8 14918 PANTOGRAPH EQUATION//BOUNDARY VALUE METHODS//NEUTRAL DELAY DIFFERENTIAL EQUATIONS
9 19703 NORMAL FORM//UNIQUE NORMAL FORM//FURTHER REDUCTION
10 13969 CARRYING SIMPLEX//MONOTONE SKEW PRODUCT SEMIFLOWS//EXPONENTIAL SEPARATION

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