Class information for:
Level 1: BORDER COLLISION BIFURCATION//GRAZING BIFURCATION//IMPACT OSCILLATOR

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
5779 1576 23.7 54%


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

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 BORDER COLLISION BIFURCATION authKW 1026573 5% 70% 76
2 GRAZING BIFURCATION authKW 688251 3% 79% 45
3 IMPACT OSCILLATOR authKW 512391 2% 73% 36
4 PIECEWISE SMOOTH SYSTEMS authKW 456373 2% 67% 35
5 PIECEWISE SMOOTH MAPS authKW 413297 2% 89% 24
6 FILIPPOV SYSTEM authKW 358013 2% 60% 31
7 VIBRO IMPACT authKW 239349 2% 46% 27
8 DISCONTINUITY MAPPINGS authKW 223360 1% 82% 14
9 PIECEWISE LINEAR DIFFERENTIAL SYSTEM authKW 214597 1% 92% 12
10 SLIDING BIFURCATION authKW 209220 1% 60% 18

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 20320 39% 0% 621
2 Physics, Mathematical 13808 26% 0% 416
3 Mathematics, Interdisciplinary Applications 12508 20% 0% 322
4 Mathematics, Applied 11801 35% 0% 547
5 Engineering, Mechanical 10964 27% 0% 429
6 Acoustics 8803 14% 0% 226
7 Physics, Multidisciplinary 2194 18% 0% 289
8 Mathematics 702 11% 0% 166
9 Physics, Fluids & Plasmas 391 4% 0% 69
10 Automation & Control Systems 131 2% 0% 36

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 186683 3% 23% 42
2 DYNAM 110146 3% 13% 43
3 ECON SOC POLIT 79692 1% 34% 12
4 IPVS 75605 1% 35% 11
5 DESP 47430 1% 19% 13
6 ENGN ESTRUTURAL FUNDACOES 38747 0% 100% 2
7 STAT METODI QUANTITAT 38747 0% 100% 2
8 SYST DYNAM RELIABIL RAIL TRANSPORT EQUI 38747 0% 100% 2
9 PARALLEL DISTRIBUTED SYST IPVS 37251 0% 38% 5
10 ENGN MATH 35705 4% 3% 60

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 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 81310 10% 3% 152
2 JOURNAL OF SOUND AND VIBRATION 31588 10% 1% 158
3 NONLINEAR DYNAMICS 28831 5% 2% 86
4 CHAOS SOLITONS & FRACTALS 27121 7% 1% 105
5 SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 24816 2% 4% 30
6 PHYSICA D-NONLINEAR PHENOMENA 10549 4% 1% 59
7 INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS 8968 2% 1% 39
8 JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS 7027 1% 2% 17
9 COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 5989 2% 1% 34
10 NONLINEARITY 4967 2% 1% 29

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 BORDER COLLISION BIFURCATION 1026573 5% 70% 76 Search BORDER+COLLISION+BIFURCATION Search BORDER+COLLISION+BIFURCATION
2 GRAZING BIFURCATION 688251 3% 79% 45 Search GRAZING+BIFURCATION Search GRAZING+BIFURCATION
3 IMPACT OSCILLATOR 512391 2% 73% 36 Search IMPACT+OSCILLATOR Search IMPACT+OSCILLATOR
4 PIECEWISE SMOOTH SYSTEMS 456373 2% 67% 35 Search PIECEWISE+SMOOTH+SYSTEMS Search PIECEWISE+SMOOTH+SYSTEMS
5 PIECEWISE SMOOTH MAPS 413297 2% 89% 24 Search PIECEWISE+SMOOTH+MAPS Search PIECEWISE+SMOOTH+MAPS
6 FILIPPOV SYSTEM 358013 2% 60% 31 Search FILIPPOV+SYSTEM Search FILIPPOV+SYSTEM
7 VIBRO IMPACT 239349 2% 46% 27 Search VIBRO+IMPACT Search VIBRO+IMPACT
8 DISCONTINUITY MAPPINGS 223360 1% 82% 14 Search DISCONTINUITY+MAPPINGS Search DISCONTINUITY+MAPPINGS
9 PIECEWISE LINEAR DIFFERENTIAL SYSTEM 214597 1% 92% 12 Search PIECEWISE+LINEAR+DIFFERENTIAL+SYSTEM Search PIECEWISE+LINEAR+DIFFERENTIAL+SYSTEM
10 SLIDING BIFURCATION 209220 1% 60% 18 Search SLIDING+BIFURCATION Search SLIDING+BIFURCATION

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 197 69% 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. - 70 86% 0
4 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
5 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
6 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
7 LUO, TQ , WANG, Z , (2016) PERIODICALLY FORCED SYSTEM WITH SYMMETRIC MOTION LIMITING CONSTRAINTS: DYNAMIC CHARACTERISTICS AND EQUIVALENT ELECTRONIC CIRCUIT REALIZATION.INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. VOL. 81. ISSUE . P. 283 -302 47 72% 1
8 LUO, GW , LV, XH , ZHU, XF , (2008) DYNAMICS OF VIBRO-IMPACT MECHANICAL SYSTEMS WITH LARGE DISSIPATION.INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES. VOL. 50. ISSUE 2. P. 214 -232 46 96% 2
9 MAKROONI, R , KHELLAT, F , GARDINI, L , (2015) BORDER COLLISION AND FOLD BIFURCATIONS IN A FAMILY OF ONE-DIMENSIONAL DISCONTINUOUS PIECEWISE SMOOTH MAPS: UNBOUNDED CHAOTIC SETS.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. VOL. 21. ISSUE 8. P. 660 -695 41 89% 0
10 LUO, GW , LV, XH , (2008) DYNAMICS OF A PLASTIC-IMPACT SYSTEM WITH OSCILLATORY AND PROGRESSIVE MOTIONS.INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. VOL. 43. ISSUE 2. P. 100 -110 45 94% 7

Classes with closest relation at Level 1


Rank Class id link
1 26876 PARTICLE DAMPER//PARTICLE DAMPING//IMPACT DAMPER
2 14917 BRAKE SQUEAL//SQUEAL//FRICTION INDUCED VIBRATION
3 18134 FRICTION DAMPING//JOINT IDENTIFICATION//SLIP DAMPING
4 23734 GENERALIZED CELL MAPPING//CELL MAPPING//CELL MAPPING METHODS
5 18839 RUB IMPACT//ABRADABLE SEAL COATING//ROTOR STATOR RUB
6 8708 CLEARANCE JOINT//JOINT CLEARANCE//MULTIBODY DYNAMICS
7 20024 NONLINEAR ENERGY SINK//TARGETED ENERGY TRANSFER//ESSENTIAL NONLINEARITY
8 13791 WADA BASIN BOUNDARY//INTERTWINED BASINS//WADA BASINS
9 27915 SINGLE INPUT FUZZY CONTROLLER DESIGN//TSYPKINS METHOD//GROBNER BASE
10 26584 CHAOTIFICATION//ANTICONTROL//ANTICONTROL OF CHAOS

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