Class information for:
Level 1: BIFURCATION CONTROL//CONTROL BIFURCATIONS//STOCHASTIC PERIOD DOUBLING BIFURCATION

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
167 3       INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS//CHAOS//PHYSICS, MATHEMATICAL 60542
2747 2             KAM THEORY//ARNOLD DIFFUSION//KAM ITERATION 3446
24237 1                   BIFURCATION CONTROL//CONTROL BIFURCATIONS//STOCHASTIC PERIOD DOUBLING BIFURCATION 342

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 BIFURCATION CONTROL authKW 1447711 12% 38% 41
2 CONTROL BIFURCATIONS authKW 460769 1% 100% 5
3 STOCHASTIC PERIOD DOUBLING BIFURCATION authKW 460769 1% 100% 5
4 ORTHOGONAL POLYNOMIAL APPROXIMATION authKW 329118 1% 71% 5
5 LANGFORD SYSTEM authKW 294890 1% 80% 4
6 1 PARAMETER FAMILY authKW 276461 1% 100% 3
7 BOUNDED RANDOM PARAMETER authKW 276461 1% 100% 3
8 FEEDBACK TRANSFORMATIONS authKW 276461 1% 100% 3
9 STOCHASTIC BONHOEFFER VAN DER POL SYSTEM authKW 276461 1% 100% 3
10 BIFURCATION STABILIZATION authKW 245741 1% 67% 4

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Automation & Control Systems 8835 34% 0% 115
2 Mathematics, Applied 1785 29% 0% 100
3 Mathematics, Interdisciplinary Applications 1413 15% 0% 51
4 Physics, Multidisciplinary 634 21% 0% 71
5 Mechanics 520 14% 0% 49
6 Physics, Mathematical 385 10% 0% 34
7 Engineering, Electrical & Electronic 208 17% 0% 57
8 Engineering, Mechanical 193 8% 0% 29
9 Operations Research & Management Science 103 4% 0% 15
10 Computer Science, Information Systems 83 5% 0% 16

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 UAV 122866 1% 33% 4
2 CONTROL ANAL SECT 92154 0% 100% 1
3 DIPARTIMENTI INGN CIVILE INGN INFORMAT 92154 0% 100% 1
4 MECH POWER ENERGY ENG 92154 0% 100% 1
5 PL PROBLEMS MODERN ANAL 92154 0% 100% 1
6 ZENTRUM INTERDISZIPLINDRE FOR 92154 0% 100% 1
7 MECH AEROSP 65688 4% 5% 13
8 GRP DINAM NAO LINEAR 61433 1% 33% 2
9 INGN ELE COMPUTADORAS 46076 0% 50% 1
10 MATH EA3226 46076 0% 50% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 14529 9% 1% 30
2 MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS 7047 2% 1% 6
3 LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES 6804 4% 1% 14
4 SIAM JOURNAL ON CONTROL AND OPTIMIZATION 6274 5% 0% 16
5 NONLINEAR DYNAMICS 4306 5% 0% 16
6 SYSTEMS & CONTROL LETTERS 3757 4% 0% 13
7 LATIN AMERICAN APPLIED RESEARCH 3662 2% 1% 6
8 JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 3156 1% 1% 4
9 APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 3056 3% 0% 10
10 IEEE TRANSACTIONS ON AUTOMATIC CONTROL 2048 5% 0% 16

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 BIFURCATION CONTROL 1447711 12% 38% 41 Search BIFURCATION+CONTROL Search BIFURCATION+CONTROL
2 CONTROL BIFURCATIONS 460769 1% 100% 5 Search CONTROL+BIFURCATIONS Search CONTROL+BIFURCATIONS
3 STOCHASTIC PERIOD DOUBLING BIFURCATION 460769 1% 100% 5 Search STOCHASTIC+PERIOD+DOUBLING+BIFURCATION Search STOCHASTIC+PERIOD+DOUBLING+BIFURCATION
4 ORTHOGONAL POLYNOMIAL APPROXIMATION 329118 1% 71% 5 Search ORTHOGONAL+POLYNOMIAL+APPROXIMATION Search ORTHOGONAL+POLYNOMIAL+APPROXIMATION
5 LANGFORD SYSTEM 294890 1% 80% 4 Search LANGFORD+SYSTEM Search LANGFORD+SYSTEM
6 1 PARAMETER FAMILY 276461 1% 100% 3 Search 1+PARAMETER+FAMILY Search 1+PARAMETER+FAMILY
7 BOUNDED RANDOM PARAMETER 276461 1% 100% 3 Search BOUNDED+RANDOM+PARAMETER Search BOUNDED+RANDOM+PARAMETER
8 FEEDBACK TRANSFORMATIONS 276461 1% 100% 3 Search FEEDBACK+TRANSFORMATIONS Search FEEDBACK+TRANSFORMATIONS
9 STOCHASTIC BONHOEFFER VAN DER POL SYSTEM 276461 1% 100% 3 Search STOCHASTIC+BONHOEFFER+VAN+DER+POL+SYSTEM Search STOCHASTIC+BONHOEFFER+VAN+DER+POL+SYSTEM
10 BIFURCATION STABILIZATION 245741 1% 67% 4 Search BIFURCATION+STABILIZATION Search BIFURCATION+STABILIZATION

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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 18172 NORMAL FORM//UNIQUE NORMAL FORM//FURTHER REDUCTION
2 28384 DESCRIBING FUNCTION//UNIFORM DISSIPATIVENESS//GAIN PHASE MARGIN
3 14352 ELECT ENGN MENOUF//SPHERICAL PENDULUM//MULTIPLE SCALES PERTURBATION TECHNIQUE
4 25677 SHIMMY//CONTROL LAW TEAM//SHIMMY OSCILLATIONS
5 27664 CHAOTIFICATION//ANTICONTROL//ANTICONTROL OF CHAOS
6 24472 REGULAR SYNTHESIS//HAMILTONIAN METHODS//ANGEW MATH WISSEN RECHNEN
7 9064 NEAR CONTROLLABILITY//DIFFERENTIAL FLATNESS//DISCRETE TIME BILINEAR SYSTEMS
8 3856 INPUT TO STATE STABILITY//CONTROL LYAPUNOV FUNCTION//ADDING A POWER INTEGRATOR
9 6594 BORDER COLLISION BIFURCATION//GRAZING BIFURCATION//IMPACT OSCILLATOR
10 4199 CHAOS CONTROL//CONTROLLING CHAOS//UNSTABLE PERIODIC ORBITS

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