Class information for:
Level 2: ORBIT FLIP//HOPF BIFURCATION//DOUBLE HOPF BIFURCATION

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
2427 3654 22.6 44%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)


ID, lev.
above		 Publications Label for level above
111 68233 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS//CHAOS//SYNCHRONIZATION

Classes in level below (level 1)


ID, lev. below Publications Label for level below
8727 1155 DOUBLE HOPF BIFURCATION//STATE DEPENDENT DELAY//RING NEURAL NETWORK
13370 777 ORBIT FLIP//INCLINATION FLIP//CHUAS EQUATION
15838 620 UNIQUE NORMAL FORM//BIFURCATION CONTROL//NORMAL FORMS
16652 578 HETEROCLINIC NETWORK//COUPLED CELL NETWORKS//COUPLED CELL NETWORK
19340 445 GAUGE ORBIT SPACE//SYMMETRIC HAMILTONIAN SYSTEMS//SINGULAR SYMPLECTIC REDUCTION
34060 79 STICK BALANCING//DIGITAL POSITION CONTROL//DOUBLE NEIMARK SACKER BIFURCATION

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 ORBIT FLIP Author keyword 45 90% 1% 19
2 HOPF BIFURCATION Author keyword 34 12% 7% 256
3 DOUBLE HOPF BIFURCATION Author keyword 34 70% 1% 28
4 HETEROCLINIC NETWORK Author keyword 27 92% 0% 11
5 INCLINATION FLIP Author keyword 23 100% 0% 10
6 STATE DEPENDENT DELAY Author keyword 22 37% 1% 48
7 NORMAL FORM Author keyword 20 17% 3% 109
8 BIFURCATION CONTROL Author keyword 18 35% 1% 42
9 COUPLED CELL NETWORKS Author keyword 15 82% 0% 9
10 UNIQUE NORMAL FORM Author keyword 15 88% 0% 7

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class		 LCSH search Wikipedia search
1 ORBIT FLIP 45 90% 1% 19 Search ORBIT+FLIP Search ORBIT+FLIP
2 HOPF BIFURCATION 34 12% 7% 256 Search HOPF+BIFURCATION Search HOPF+BIFURCATION
3 DOUBLE HOPF BIFURCATION 34 70% 1% 28 Search DOUBLE+HOPF+BIFURCATION Search DOUBLE+HOPF+BIFURCATION
4 HETEROCLINIC NETWORK 27 92% 0% 11 Search HETEROCLINIC+NETWORK Search HETEROCLINIC+NETWORK
5 INCLINATION FLIP 23 100% 0% 10 Search INCLINATION+FLIP Search INCLINATION+FLIP
6 STATE DEPENDENT DELAY 22 37% 1% 48 Search STATE+DEPENDENT+DELAY Search STATE+DEPENDENT+DELAY
7 NORMAL FORM 20 17% 3% 109 Search NORMAL+FORM Search NORMAL+FORM
8 BIFURCATION CONTROL 18 35% 1% 42 Search BIFURCATION+CONTROL Search BIFURCATION+CONTROL
9 COUPLED CELL NETWORKS 15 82% 0% 9 Search COUPLED+CELL+NETWORKS Search COUPLED+CELL+NETWORKS
10 UNIQUE NORMAL FORM 15 88% 0% 7 Search UNIQUE+NORMAL+FORM Search UNIQUE+NORMAL+FORM

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 UNIQUE NORMAL FORMS 69 96% 1% 22
2 HOPF BIFURCATION 54 21% 6% 226
3 BOUNDARY LAYER PHENOMENA 40 82% 1% 23
4 BOGDANOV TAKENS SINGULARITY 38 84% 1% 21
5 SIMPLEST NORMAL FORMS 34 93% 0% 13
6 2 NEURONS 33 77% 1% 23
7 HETEROCLINIC CYCLES 31 43% 2% 56
8 NORMAL FORMS 30 22% 3% 121
9 IDENTICAL CELLS 27 92% 0% 11
10 ZERO EIGENVALUE 26 87% 0% 13

Journals


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 DYNAMICS AND STABILITY OF SYSTEMS 2 12% 0% 15

Reviews


Title Publ. year Cit. Active references % act. ref.
to same field
Information flow dynamics in the brain 2012 22 71 21%
Stability and Hopf bifurcation analysis on a four-neuron BAM neural network with distributed delays 2010 10 16 69%
A numerical toolbox for homoclinic bifurcation analysis 1996 78 9 78%
NUMERICAL DETECTION AND CONTINUATION OF CODIMENSION-2 HOMOCLINIC BIFURCATIONS 1994 80 41 73%
Bifurcation control: Theories, methods, and applications 2000 171 78 22%
Dynamics for a class of nonlinear systems with time delay 2009 13 60 48%
A note on the triple-zero linear degeneracy: Normal forms, dynamical and bifurcation behaviors of an unfolding 2002 21 11 82%
Dynamical principles in neuroscience 2006 241 229 7%
An efficient method for computing the simplest normal forms of vector fields 2003 9 10 100%
Simplest normal forms of Hopf and generalized Hopf bifurcations 1999 22 5 80%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 DEP MATEMAT PURA 6 100% 0.1% 4
2 E POLITECN SUP 6 100% 0.1% 4
3 PL MATH 2 5 15% 0.8% 30
4 VIBRAT ENGN 4 12% 0.8% 29
5 MATEMAT PURA 3 16% 0.5% 17
6 UMR 129 CNRS 3 60% 0.1% 3
7 ES INGENIEROS 3 30% 0.2% 7
8 GRP NEUROCOMPUTAC BIOL 2 22% 0.2% 9
9 AERODYNAM FLUIDMECH 2 67% 0.1% 2
10 AGAT UMR 8524 2 67% 0.1% 2

Related classes at same level (level 2)


Rank Relatedness score Related classes
1 0.0000022035 HOMOCLINIC SOLUTIONS//SECOND ORDER HAMILTONIAN SYSTEMS//KAM ITERATION
2 0.0000019383 STOCHASTIC AVERAGING//NONLINEAR DYNAMICS//INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
3 0.0000018709 BENARD CONVECTION//TAYLOR COUETTE FLOW//FARADAY WAVES
4 0.0000016884 HILBERTS 16TH PROBLEM//ISOCHRONOUS CENTER//CENTER FOCUS PROBLEM
5 0.0000015887 GLOBAL EXPONENTIAL STABILITY//CELLULAR NEURAL NETWORKS//COHEN GROSSBERG NEURAL NETWORKS
6 0.0000015565 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS//CHAOS//CHAOS SYNCHRONIZATION
7 0.0000014697 PERMANENCE//GLOBAL ATTRACTIVITY//GLOBAL STABILITY
8 0.0000012618 NEURAL COMPUTATION//JOURNAL OF COMPUTATIONAL NEUROSCIENCE//FRONTIERS IN COMPUTATIONAL NEUROSCIENCE
9 0.0000010875 EXPONENTIAL DICHOTOMY//ALMOST AUTOMORPHIC//PIECEWISE CONSTANT ARGUMENT
10 0.0000009873 ERGODIC THEORY AND DYNAMICAL SYSTEMS//NIELSEN NUMBERS//DOMINATED SPLITTING