Class information for:
Level 2: STOCHASTIC AVERAGING//BORDER COLLISION BIFURCATION//NONLINEAR ENERGY SINK

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1519 7494 20.8 46%


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
5779 1                   BORDER COLLISION BIFURCATION//GRAZING BIFURCATION//IMPACT OSCILLATOR 1576
8035 1                   STOCHASTIC AVERAGING//PROBABILISTIC ENGINEERING MECHANICS//STOCHASTIC AVERAGING METHOD 1301
9183 1                   PARAMETRIC PENDULUM//MELNIKOV CRITERION//MELNIKOV METHOD 1180
13858 1                   SOMMERFELD EFFECT//NON IDEAL SYSTEM//ELECT ENGN MENOUF 808
20024 1                   NONLINEAR ENERGY SINK//TARGETED ENERGY TRANSFER//ESSENTIAL NONLINEARITY 480
21166 1                   FAST EXCITATION//GRP NONLINEAR OSCILLAT CHAOS//ASYMPTOTIC APPROXIMATION OF FIRST INTEGRAL 430
23278 1                   AUTORESONANCE//SLOWLY VARYING PARAMETER//ASYMPTOTIC REPRESENTATION OF SOLUTIONS 352
23734 1                   GENERALIZED CELL MAPPING//CELL MAPPING//CELL MAPPING METHODS 336
24010 1                   LOVE DYNAMICS//OFFSHORE MECH//BODY FREE FALL 326
26876 1                   PARTICLE DAMPER//PARTICLE DAMPING//IMPACT DAMPER 243
28413 1                   FREQUENCY CAPTURE//VIBRATING SYSTEM//VIBRATORY SYNCHRONIZATION TRANSMISSION 207
33932 1                   HAMILTON PONTRYAGIN FUNCTIONS//SECOND ORDER VECTOR DIFFERENTIAL EQUATION//KASTAMONU EGITIM FAK 118
36598 1                   CENTRIFUGAL TUBE MILL//ELLIPTICAL VIBRATIONS//EXCITATION VIBRATION 78
37398 1                   VIBRATIONS OF SOLIDS//DISCRETE CONTINUOUS MODEL//TORSIONAL SYSTEMS 59

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 STOCHASTIC AVERAGING authKW 309538 2% 66% 116
2 BORDER COLLISION BIFURCATION authKW 215770 1% 70% 76
3 NONLINEAR ENERGY SINK authKW 206485 1% 85% 60
4 NONLINEAR DYNAMICS journal 194614 6% 10% 487
5 JOURNAL OF SOUND AND VIBRATION journal 166581 11% 5% 791
6 INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS journal 156023 5% 11% 354
7 GRAZING BIFURCATION authKW 151172 1% 81% 46
8 MECHANICS WoSSC 137488 47% 1% 3506
9 IMPACT OSCILLATOR authKW 107700 0% 73% 36
10 PIECEWISE SMOOTH SYSTEMS authKW 101482 0% 69% 36

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 137488 47% 1% 3506
2 Engineering, Mechanical 69386 31% 1% 2342
3 Acoustics 47496 15% 1% 1143
4 Physics, Mathematical 18923 15% 0% 1088
5 Mathematics, Interdisciplinary Applications 16575 11% 1% 826
6 Mathematics, Applied 16451 19% 0% 1459
7 Physics, Multidisciplinary 7730 16% 0% 1203
8 Physics, Fluids & Plasmas 1595 4% 0% 307
9 Automation & Control Systems 963 3% 0% 205
10 Engineering, General 796 3% 0% 225

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 PL DYNAM 93944 1% 36% 65
2 DYNAM 78089 1% 24% 79
3 MECH 34636 5% 2% 368
4 GRP NONLINEAR OSCILLAT CHAOS 24944 0% 88% 7
5 ELECT ENGN MENOUF 20944 0% 86% 6
6 DIPARTIMENTO INGN STRUTTURALE GEOTECN 20857 1% 10% 53
7 STATE FLUID POWER TRANSMISS CONTROL 18097 1% 6% 72
8 ECON SOC POLIT 16741 0% 34% 12
9 ENGN MATH 16400 1% 5% 89
10 GAS TURBINE DESIGN 16291 0% 100% 4

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 194614 6% 10% 487
2 JOURNAL OF SOUND AND VIBRATION 166581 11% 5% 791
3 INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS 156023 5% 11% 354
4 PROBABILISTIC ENGINEERING MECHANICS 98958 2% 16% 151
5 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 72618 4% 6% 314
6 CHAOS SOLITONS & FRACTALS 29550 3% 3% 240
7 JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME 26479 3% 3% 193
8 JOURNAL OF VIBRATION AND CONTROL 17759 1% 4% 100
9 JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS 16581 1% 7% 57
10 COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 16425 2% 3% 123

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 STOCHASTIC AVERAGING 309538 2% 66% 116 Search STOCHASTIC+AVERAGING Search STOCHASTIC+AVERAGING
2 BORDER COLLISION BIFURCATION 215770 1% 70% 76 Search BORDER+COLLISION+BIFURCATION Search BORDER+COLLISION+BIFURCATION
3 NONLINEAR ENERGY SINK 206485 1% 85% 60 Search NONLINEAR+ENERGY+SINK Search NONLINEAR+ENERGY+SINK
4 GRAZING BIFURCATION 151172 1% 81% 46 Search GRAZING+BIFURCATION Search GRAZING+BIFURCATION
5 IMPACT OSCILLATOR 107700 0% 73% 36 Search IMPACT+OSCILLATOR Search IMPACT+OSCILLATOR
6 PIECEWISE SMOOTH SYSTEMS 101482 0% 69% 36 Search PIECEWISE+SMOOTH+SYSTEMS Search PIECEWISE+SMOOTH+SYSTEMS
7 STOCHASTIC AVERAGING METHOD 98701 1% 61% 40 Search STOCHASTIC+AVERAGING+METHOD Search STOCHASTIC+AVERAGING+METHOD
8 VIBRO IMPACT SYSTEM 91217 0% 80% 28 Search VIBRO+IMPACT+SYSTEM Search VIBRO+IMPACT+SYSTEM
9 POISSON WHITE NOISE 88803 0% 84% 26 Search POISSON+WHITE+NOISE Search POISSON+WHITE+NOISE
10 PIECEWISE SMOOTH MAPS 86879 0% 89% 24 Search PIECEWISE+SMOOTH+MAPS Search PIECEWISE+SMOOTH+MAPS

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 LAMB, JSW , MAKARENKOV, O , (2012) DYNAMICS AND BIFURCATIONS OF NONSMOOTH SYSTEMS: A SURVEY.PHYSICA D-NONLINEAR PHENOMENA. VOL. 241. ISSUE 22. P. 1826 -1844 198 70% 46
2 SIMPSON, DJW , (2016) BORDER-COLLISION BIFURCATIONS IN R-N.SIAM REVIEW. VOL. 58. ISSUE 2. P. 177 -226 112 77% 0
3 BLAZEJCZYK-OKOLEWSKA, B , (2013) ON STRUCTURAL PATTERNS OF MECHANICAL SYSTEMS WITH IMPACTS WITH ONE AND TWO DEGREES-OF-FREEDOM.MATHEMATICAL PROBLEMS IN ENGINEERING. VOL. . ISSUE . P. - 75 93% 0
4 ZHU, WQ , (2006) NONLINEAR STOCHASTIC DYNAMICS AND CONTROL IN HAMILTONIAN FORMULATION.APPLIED MECHANICS REVIEWS. VOL. 59. ISSUE 1-6. P. 230-248 67 89% 73
5 DU, ZD , (2016) PERIOD-ADDING AND THE FAREY TREE STRUCTURE IN A CLASS OF ONE-DIMENSIONAL DISCONTINUOUS NONLINEAR MAPS.NONLINEAR DYNAMICS. VOL. 84. ISSUE 4. P. 2211 -2226 45 98% 0
6 DI BERNARDO, M , BUDD, CJ , CHAMPNEYS, AR , KOWALCZYK, P , NORDMARK, AB , TOST, GO , PIIROINEN, PT , (2008) BIFURCATIONS IN NONSMOOTH DYNAMICAL SYSTEMS.SIAM REVIEW. VOL. 50. ISSUE 4. P. 629 -701 53 78% 98
7 DI BERNARDO, M , HOGAN, SJ , (2010) DISCONTINUITY-INDUCED BIFURCATIONS OF PIECEWISE SMOOTH DYNAMICAL SYSTEMS.PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. VOL. 368. ISSUE 1930. P. 4915-4935 53 85% 13
8 ZHU, HT , (2015) STOCHASTIC RESPONSE OF A VIBRO-IMPACT DUFFING SYSTEM UNDER EXTERNAL POISSON IMPULSES.NONLINEAR DYNAMICS. VOL. 82. ISSUE 1-2. P. 1001 -1013 43 91% 2
9 LEE, YS , VAKAKIS, AF , BERGMAN, LA , MCFARLAND, DM , KERSCHEN, G , NUCERA, F , TSAKIRTZIS, S , PANAGOPOULOS, PN , (2008) PASSIVE NON-LINEAR TARGETED ENERGY TRANSFER AND ITS APPLICATIONS TO VIBRATION ABSORPTION: A REVIEW.PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART K-JOURNAL OF MULTI-BODY DYNAMICS. VOL. 222. ISSUE 2. P. 77 -134 76 59% 25
10 ZHU, WQ , CAI, CQ , (2002) NONLINEAR STOCHASTIC DYNAMICS: A SURVEY OF RECENT DEVELOPMENTS.ACTA MECHANICA SINICA. VOL. 18. ISSUE 6. P. 551-566 66 85% 11

Classes with closest relation at Level 2


Rank Class id link
1 2389 FRICTION MATERIAL//DISC BRAKE//BRAKE SQUEAL
2 386 ERGODIC THEORY AND DYNAMICAL SYSTEMS//NONLINEARITY//TOPOLOGICAL ENTROPY
3 2787 BIFURCATION CONTROL//NORMAL FORM//UNIT IND AUTOMAT
4 2408 HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD
5 219 CHAOS//CHAOTIC SYSTEM//INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
6 2529 GEAR//MECHANISM AND MACHINE THEORY//TRANSMISSION ERROR
7 3151 AMERICAN JOURNAL OF PHYSICS//EUROPEAN JOURNAL OF PHYSICS//EDUCATION, SCIENTIFIC DISCIPLINES
8 2554 NORMAL COMPLIANCE//HEMIVARIATIONAL INEQUALITY//FRICTIONAL CONTACT
9 3115 IST SCI ECON//DUOPOLY GAMES//NONINVERTIBLE MAPS
10 1722 JOURNAL OF WIND ENGINEERING AND INDUSTRIAL AERODYNAMICS//WIND AND STRUCTURES//WIND LOADS

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