Class information for:
Level 1: FAST EXCITATION//GRP NONLINEAR OSCILLAT CHAOS//ASYMPTOTIC APPROXIMATION OF FIRST INTEGRAL

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21166 430 18.9 42%


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
1519 2             STOCHASTIC AVERAGING//BORDER COLLISION BIFURCATION//NONLINEAR ENERGY SINK 7494
21166 1                   FAST EXCITATION//GRP NONLINEAR OSCILLAT CHAOS//ASYMPTOTIC APPROXIMATION OF FIRST INTEGRAL 430

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 FAST EXCITATION authKW 504969 2% 89% 8
2 GRP NONLINEAR OSCILLAT CHAOS address 434944 2% 88% 7
3 ASYMPTOTIC APPROXIMATION OF FIRST INTEGRAL authKW 426069 1% 100% 6
4 BIFURCATION TREE authKW 365201 1% 86% 6
5 INTEGRATING VECTOR authKW 302975 2% 53% 8
6 GENERALIZED HARMONIC BALANCE METHOD authKW 284042 1% 67% 6
7 STRONGLY NONLINEAR OSCILLATORS authKW 253610 1% 71% 5
8 HIGH FREQUENCY EXCITATION authKW 227227 2% 40% 8
9 HARDENING DUFFING OSCILLATOR authKW 213035 1% 100% 3
10 METHOD OF DIRECT PARTITION OF MOTION authKW 213035 1% 100% 3

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 Mechanics 17234 69% 0% 295
2 Engineering, Mechanical 8112 44% 0% 190
3 Acoustics 5678 22% 0% 94
4 Mathematics, Interdisciplinary Applications 2534 18% 0% 76
5 Physics, Mathematical 1381 16% 0% 70
6 Mathematics, Applied 855 19% 0% 80
7 Physics, Fluids & Plasmas 203 6% 0% 25
8 Physics, Multidisciplinary 199 11% 0% 49
9 Engineering, General 101 4% 0% 18
10 Automation & Control Systems 21 2% 0% 8

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 GRP NONLINEAR OSCILLAT CHAOS 434944 2% 88% 7
2 VIBRAT CONTROL STRUCT SAFETY 142023 0% 100% 2
3 EXCELLENCE VIBROACOUST SYST SIGNAL PROC 127818 1% 60% 3
4 RENEWABLE ENERGY DYNAM SYST 71012 0% 100% 1
5 RUMENT SCI OPTOELECT ENGN BEIHANG UNIV 71012 0% 100% 1
6 TIANJIN NONLINEAR DYNAM CONTROL 71012 0% 100% 1
7 VIBRAT MECH ENGN 71012 0% 100% 1
8 ANAL GEOMETRY GRP 71010 0% 50% 2
9 FSTM 60857 1% 14% 6
10 PRECIS OPTOMECHATRON TECHONOL 56807 0% 40% 2

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 70284 16% 1% 70
2 JOURNAL OF SOUND AND VIBRATION 20893 16% 0% 67
3 INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS 18273 7% 1% 29
4 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 8042 6% 0% 25
5 COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 7641 5% 1% 20
6 INGENIEUR ARCHIV 6193 1% 1% 6
7 MECHANICS RESEARCH COMMUNICATIONS 4592 3% 1% 13
8 CHAOS SOLITONS & FRACTALS 3594 5% 0% 20
9 JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME 1833 2% 0% 8
10 JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS 1425 1% 1% 4

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 FAST EXCITATION 504969 2% 89% 8 Search FAST+EXCITATION Search FAST+EXCITATION
2 ASYMPTOTIC APPROXIMATION OF FIRST INTEGRAL 426069 1% 100% 6 Search ASYMPTOTIC+APPROXIMATION+OF+FIRST+INTEGRAL Search ASYMPTOTIC+APPROXIMATION+OF+FIRST+INTEGRAL
3 BIFURCATION TREE 365201 1% 86% 6 Search BIFURCATION+TREE Search BIFURCATION+TREE
4 INTEGRATING VECTOR 302975 2% 53% 8 Search INTEGRATING+VECTOR Search INTEGRATING+VECTOR
5 GENERALIZED HARMONIC BALANCE METHOD 284042 1% 67% 6 Search GENERALIZED+HARMONIC+BALANCE+METHOD Search GENERALIZED+HARMONIC+BALANCE+METHOD
6 STRONGLY NONLINEAR OSCILLATORS 253610 1% 71% 5 Search STRONGLY+NONLINEAR+OSCILLATORS Search STRONGLY+NONLINEAR+OSCILLATORS
7 HIGH FREQUENCY EXCITATION 227227 2% 40% 8 Search HIGH+FREQUENCY+EXCITATION Search HIGH+FREQUENCY+EXCITATION
8 HARDENING DUFFING OSCILLATOR 213035 1% 100% 3 Search HARDENING+DUFFING+OSCILLATOR Search HARDENING+DUFFING+OSCILLATOR
9 METHOD OF DIRECT PARTITION OF MOTION 213035 1% 100% 3 Search METHOD+OF+DIRECT+PARTITION+OF+MOTION Search METHOD+OF+DIRECT+PARTITION+OF+MOTION
10 NON HARMONIC PERIODIC LOADING 213035 1% 100% 3 Search NON+HARMONIC+PERIODIC+LOADING Search NON+HARMONIC+PERIODIC+LOADING

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 CHEN, YY , CHEN, SH , (2009) HOMOCLINIC AND HETEROCLINIC SOLUTIONS OF CUBIC STRONGLY NONLINEAR AUTONOMOUS OSCILLATORS BY THE HYPERBOLIC PERTURBATION METHOD.NONLINEAR DYNAMICS. VOL. 58. ISSUE 1-2. P. 417 -429 20 80% 17
2 KOVACIC, I , CVETICANIN, L , ZUKOVIC, M , RAKARIC, Z , (2016) JACOBI ELLIPTIC FUNCTIONS: A REVIEW OF NONLINEAR OSCILLATORY APPLICATION PROBLEMS.JOURNAL OF SOUND AND VIBRATION. VOL. 380. ISSUE . P. 1 -36 23 51% 0
3 CHEN, SH , CHEN, YY , SZE, KY , (2009) A HYPERBOLIC PERTURBATION METHOD FOR DETERMINING HOMOCLINIC SOLUTION OF CERTAIN STRONGLY NONLINEAR AUTONOMOUS OSCILLATORS.JOURNAL OF SOUND AND VIBRATION. VOL. 322. ISSUE 1-2. P. 381-392 16 80% 13
4 CHEN, YY , YAN, LW , SZE, KY , CHEN, SH , (2012) GENERALIZED HYPERBOLIC PERTURBATION METHOD FOR HOMOCLINIC SOLUTIONS OF STRONGLY NONLINEAR AUTONOMOUS SYSTEMS.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION. VOL. 33. ISSUE 9. P. 1137 -1152 15 79% 7
5 FAHSI, A , BELHAQ, M , (2009) EFFECT OF FAST HARMONIC EXCITATION ON FREQUENCY-LOCKING IN A VAN DER POL-MATHIEU-DUFFING OSCILLATOR.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. VOL. 14. ISSUE 1. P. 244 -253 15 83% 6
6 THOMSEN, JJ , (2005) SLOW HIGH-FREQUENCY EFFECTS IN MECHANICS: PROBLEMS, SOLUTIONS, POTENTIALS.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. VOL. 15. ISSUE 9. P. 2799 -2818 19 70% 21
7 MOKNI, L , KIRROU, I , BELHAQ, M , (2016) PERIODIC AND QUASIPERIODIC GALLOPING OF A WIND-EXCITED TOWER UNDER PARAMETRIC DAMPING.JOURNAL OF VIBRATION AND CONTROL. VOL. 22. ISSUE 1. P. 145 -158 12 71% 3
8 MAILYBAEV, AA , SEYRANIAN, AP , (2009) STABILIZATION OF STATICALLY UNSTABLE COLUMNS BY AXIAL VIBRATION OF ARBITRARY FREQUENCY.JOURNAL OF SOUND AND VIBRATION. VOL. 328. ISSUE 1-2. P. 203 -212 13 93% 1
9 BELHAQ, M , FAHSI, A , (2008) 2 : 1 AND 1 : 1 FREQUENCY-LOCKING IN FAST EXCITED VAN DER POL-MATHIEU-DUFFING OSCILLATOR.NONLINEAR DYNAMICS. VOL. 53. ISSUE 1-2. P. 139 -152 15 79% 7
10 THOMSEN, JJ , (2003) STRANGE EFFECTS OF STRONG HIGH-FREQUENCY EXCITATION.MODERN PRACTICE IN STRESS AND VIBRATION ANALYSIS. VOL. 440-4. ISSUE . P. 3 -10 15 88% 1

Classes with closest relation at Level 1


Rank Class id link
1 37398 VIBRATIONS OF SOLIDS//DISCRETE CONTINUOUS MODEL//TORSIONAL SYSTEMS
2 13858 SOMMERFELD EFFECT//NON IDEAL SYSTEM//ELECT ENGN MENOUF
3 9183 PARAMETRIC PENDULUM//MELNIKOV CRITERION//MELNIKOV METHOD
4 24010 LOVE DYNAMICS//OFFSHORE MECH//BODY FREE FALL
5 20024 NONLINEAR ENERGY SINK//TARGETED ENERGY TRANSFER//ESSENTIAL NONLINEARITY
6 35550 SUBQUANTUM KINETICS//BIMETRIC MODEL//GRAVITY IN A FLAT SPACE TIME
7 23278 AUTORESONANCE//SLOWLY VARYING PARAMETER//ASYMPTOTIC REPRESENTATION OF SOLUTIONS
8 19703 NORMAL FORM//UNIQUE NORMAL FORM//FURTHER REDUCTION
9 27915 SINGLE INPUT FUZZY CONTROLLER DESIGN//TSYPKINS METHOD//GROBNER BASE
10 30733 ADJOINT FLOQUET SOLUTIONS//STABILITY IN NONLINEAR APPROXIMATION//PERIODIC PERTURBATIONS

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