Class information for:
Level 1: ADJOINT FLOQUET SOLUTIONS//STABILITY IN NONLINEAR APPROXIMATION//PERIODIC PERTURBATIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
30733 164 16.4 27%


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
2519 2             REVERSE FLOW REACTOR//CHEMICAL ENGINEERING SCIENCE//KINETIC OSCILLATIONS 3825
30733 1                   ADJOINT FLOQUET SOLUTIONS//STABILITY IN NONLINEAR APPROXIMATION//PERIODIC PERTURBATIONS 164

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 ADJOINT FLOQUET SOLUTIONS authKW 372384 1% 100% 2
2 STABILITY IN NONLINEAR APPROXIMATION authKW 372384 1% 100% 2
3 PERIODIC PERTURBATIONS authKW 270820 2% 36% 4
4 ASYMPTOTIC ORBITAL STABLE CYCLE authKW 186192 1% 100% 1
5 AUTONOMOUS PARABOLIC EQUATIONS authKW 186192 1% 100% 1
6 AVERAGED POTENTIAL authKW 186192 1% 100% 1
7 CATALYTIC CSTR authKW 186192 1% 100% 1
8 EQUATION OF NEUTRAL TYPE authKW 186192 1% 100% 1
9 FAMILY OF PERIODIC SOLUTIONS authKW 186192 1% 100% 1
10 MALKIN FUNCTION authKW 186192 1% 100% 1

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 Automation & Control Systems 5132 37% 0% 60
2 Mathematics, Applied 976 31% 0% 51
3 Mathematics 747 30% 0% 49
4 Instruments & Instrumentation 605 20% 0% 32
5 Mechanics 107 10% 0% 16
6 Engineering, Electrical & Electronic 107 17% 0% 28
7 Computer Science, Cybernetics 104 2% 0% 4
8 Multidisciplinary Sciences 94 4% 0% 7
9 Computer Science, Artificial Intelligence 8 2% 0% 4
10 Computer Science, Theory & Methods 7 2% 0% 4

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 ESCOLA UNIV POLITECN VILANOVA GELTRU 62063 1% 33% 1
2 TR EZNIKOV CONTROL SCI 45497 7% 2% 12
3 IRKUTSK COMP 18617 1% 10% 1
4 DIPARTIMENTO INGN INFORMAZ SCI MATEMAT 12009 1% 3% 2
5 TIMOSHENKO MECH 9796 1% 3% 2
6 DIPARTIMENTO INGN INFORMAZ 8876 7% 0% 11
7 PL MATH CONTROL PROC 6646 1% 2% 2
8 MATH ELIE CARTAN 3511 1% 2% 1
9 METROPOLITAN TRANSPORTAT 2325 1% 1% 1
10 KUMJEONG KU 1823 1% 1% 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 AUTOMATION AND REMOTE CONTROL 28605 15% 1% 24
2 PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS 18056 9% 1% 14
3 IEEE TRANSACTIONS ON AUTOMATIC CONTROL 4915 10% 0% 17
4 JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL 2824 2% 0% 4
5 DIFFERENTIAL EQUATIONS 2437 4% 0% 7
6 SIBERIAN MATHEMATICAL JOURNAL 2214 4% 0% 6
7 JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME 1863 4% 0% 6
8 GENETIKA 1523 4% 0% 6
9 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 1485 8% 0% 13
10 MATEMATICA APLICADA E COMPUTACIONAL 1338 1% 1% 1

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 ADJOINT FLOQUET SOLUTIONS 372384 1% 100% 2 Search ADJOINT+FLOQUET+SOLUTIONS Search ADJOINT+FLOQUET+SOLUTIONS
2 STABILITY IN NONLINEAR APPROXIMATION 372384 1% 100% 2 Search STABILITY+IN+NONLINEAR+APPROXIMATION Search STABILITY+IN+NONLINEAR+APPROXIMATION
3 PERIODIC PERTURBATIONS 270820 2% 36% 4 Search PERIODIC+PERTURBATIONS Search PERIODIC+PERTURBATIONS
4 ASYMPTOTIC ORBITAL STABLE CYCLE 186192 1% 100% 1 Search ASYMPTOTIC+ORBITAL+STABLE+CYCLE Search ASYMPTOTIC+ORBITAL+STABLE+CYCLE
5 AUTONOMOUS PARABOLIC EQUATIONS 186192 1% 100% 1 Search AUTONOMOUS+PARABOLIC+EQUATIONS Search AUTONOMOUS+PARABOLIC+EQUATIONS
6 AVERAGED POTENTIAL 186192 1% 100% 1 Search AVERAGED+POTENTIAL Search AVERAGED+POTENTIAL
7 CATALYTIC CSTR 186192 1% 100% 1 Search CATALYTIC+CSTR Search CATALYTIC+CSTR
8 EQUATION OF NEUTRAL TYPE 186192 1% 100% 1 Search EQUATION+OF+NEUTRAL+TYPE Search EQUATION+OF+NEUTRAL+TYPE
9 FAMILY OF PERIODIC SOLUTIONS 186192 1% 100% 1 Search FAMILY+OF+PERIODIC+SOLUTIONS Search FAMILY+OF+PERIODIC+SOLUTIONS
10 MALKIN FUNCTION 186192 1% 100% 1 Search MALKIN+FUNCTION Search MALKIN+FUNCTION

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 BARABANOV, IN , TURESHBAEV, AT , TKHAI, VN , (2014) BASIC OSCILLATION MODE IN THE COUPLED-SUBSYSTEMS MODEL.AUTOMATION AND REMOTE CONTROL. VOL. 75. ISSUE 12. P. 2112 -2123 7 100% 1
2 TKHAI, VN , (2015) PERIODIC MOTIONS OF A PERTURBED REVERSIBLE MECHANICAL SYSTEM.PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS. VOL. 79. ISSUE 2. P. 122 -131 9 75% 1
3 TKHAI, VN , (2013) A MECHANICAL SYSTEM CONTAINING WEAKLY COUPLED SUBSYSTEMS.PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS. VOL. 77. ISSUE 6. P. 588 -594 7 100% 2
4 KAMENSKII, M , MIKHAYLENKO, B , NISTRI, P , (2013) A BIFURCATION PROBLEM FOR A CLASS OF PERIODICALLY PERTURBED AUTONOMOUS PARABOLIC EQUATIONS.BOUNDARY VALUE PROBLEMS. VOL. . ISSUE . P. - 11 61% 1
5 BARABANOV, IN , TKHAI, VN , (2017) DESIGNING A STABLE CYCLE IN WEAKLY COUPLED IDENTICAL SYSTEMS.AUTOMATION AND REMOTE CONTROL. VOL. 78. ISSUE 2. P. 217 -223 6 100% 0
6 BARABANOV, IN , TKHAI, VN , (2016) OSCILLATION FAMILY IN WEAKLY COUPLED IDENTICAL SYSTEMS.AUTOMATION AND REMOTE CONTROL. VOL. 77. ISSUE 4. P. 561 -568 6 100% 0
7 WANG, Z , GUO, Y , (2012) OSCILLATORY TRACKING CONTROL OF A CLASS OF NONLINEAR SYSTEMS.JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME. VOL. 134. ISSUE 3. P. - 6 100% 1
8 ALEKSANDROV, AY , ZHABKO, AP , (2010) PRESERVATION OF STABILITY UNDER DISCRETIZATION OF SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS.SIBERIAN MATHEMATICAL JOURNAL. VOL. 51. ISSUE 3. P. 383-395 7 88% 0
9 TAHMASIAN, S , WOOLSEY, CA , (2015) A CONTROL DESIGN METHOD FOR UNDERACTUATED MECHANICAL SYSTEMS USING HIGH-FREQUENCY INPUTS.JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME. VOL. 137. ISSUE 7. P. - 5 100% 1
10 LEHMAN, B , BENTSMAN, J , (1994) VIBRATIONAL STABILIZATION AND CALCULATION FORMULAS FOR NONLINEAR TIME-DELAY SYSTEMS - LINEAR MULTIPLICATIVE VIBRATIONS.AUTOMATICA. VOL. 30. ISSUE 7. P. 1207-1211 9 90% 2

Classes with closest relation at Level 1


Rank Class id link
1 20965 PERIODIC OPERATION//FORCED PERIODIC OPERATION//CONCENTRATION FORCING
2 12020 SAMPLED DATA SYSTEMS//PERIODIC SYSTEMS//CONTINUOUS TIME PERIODIC SYSTEM
3 21435 INCLUSION PRINCIPLE//OVERLAPPING DECOMPOSITION//FIXED MODES
4 20476 OCCUPATIONAL MEASURES//CONTROL SETS//DIFFERENTIAL INCLUSIONS
5 21166 FAST EXCITATION//GRP NONLINEAR OSCILLAT CHAOS//ASYMPTOTIC APPROXIMATION OF FIRST INTEGRAL
6 23800 ABSOLUTE NEIGHBORHOOD MULTI RETRACTS//NON CLASSICAL HEAT EQUATION//MOVABLE SPACE
7 12049 UNDERACTUATED MECHANICAL SYSTEMS//INVERTED PENDULUM//UNDERACTUATED SYSTEMS
8 33519 WEAK QUASI PERIODIC SOLUTION//NONLINEAR DUFFING EQUATIONS//ADVANCED RETARDED DIFFERENTIAL EQUATIONS
9 23942 WEAKLY INTEGRALLY POSITIVE//UNIFORM ASYMPTOTIC STABILITY//INTEGRALLY POSITIVE
10 3677 INPUT TO STATE STABILITY//CONTROL LYAPUNOV FUNCTION//GLOBAL STABILIZATION

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