Class information for:
Level 1: HEAVY BALL WITH FRICTION//KURDYKA LOJASIEWICZ INEQUALITY//DISSIPATIVE DYNAMICAL SYSTEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
22378 384 21.5 37%


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
446 3       MATHEMATICS, APPLIED//JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS//GLOBAL CONVERGENCE 26149
114 2             MATHEMATICS, APPLIED//JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS//GLOBAL CONVERGENCE 25008
22378 1                   HEAVY BALL WITH FRICTION//KURDYKA LOJASIEWICZ INEQUALITY//DISSIPATIVE DYNAMICAL SYSTEM 384

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 HEAVY BALL WITH FRICTION authKW 795184 3% 100% 10
2 KURDYKA LOJASIEWICZ INEQUALITY authKW 467747 3% 59% 10
3 DISSIPATIVE DYNAMICAL SYSTEM authKW 418324 3% 48% 11
4 DOMAIN DECOMPOSITION FOR PDES authKW 408950 2% 86% 6
5 LOJASIEWICZ INEQUALITY authKW 350795 4% 29% 15
6 SEMIGROUP OF LIPSCHITZ OPERATORS authKW 331325 1% 83% 5
7 WEAK ASYMPTOTIC CONVERGENCE authKW 318074 1% 100% 4
8 PROXIMAL ALGORITHM authKW 298171 4% 25% 15
9 FORWARD BACKWARD ALGORITHMS authKW 283991 1% 71% 5
10 DISSIPATIVE DYNAMICAL SYSTEMS authKW 267842 2% 42% 8

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 Mathematics, Applied 10029 64% 0% 244
2 Mathematics 7144 59% 0% 225
3 Operations Research & Management Science 1256 13% 0% 51
4 Automation & Control Systems 188 5% 0% 19
5 Computer Science, Software Engineering 50 3% 0% 12
6 Imaging Science & Photographic Technology 7 1% 0% 3
7 Computer Science, Artificial Intelligence 5 2% 0% 6
8 Social Sciences, Mathematical Methods 3 1% 0% 2
9 Physics, Mathematical 2 1% 0% 5
10 Computer Science, Cybernetics 1 0% 0% 1

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 CNRSFRE 2311 178915 1% 75% 3
2 ACSIOM 169627 2% 27% 8
3 UMR 7090 165657 1% 42% 5
4 DIPARTIMENTO DIMAI 159037 1% 100% 2
5 DIPARTIMENTO GESAAF 159037 1% 100% 2
6 FRE 2311 159037 1% 100% 2
7 GREQAM UMR 6579 159037 1% 100% 2
8 UMR CNRS 5149 I3M 119275 1% 50% 3
9 PREPARATOIRE ETUD SCI TECH 94657 1% 24% 5
10 EQUIPE COMBINATOIRE OPTIMISAT 90864 2% 14% 8

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 SET-VALUED AND VARIATIONAL ANALYSIS 15266 2% 3% 7
2 JOURNAL OF CONVEX ANALYSIS 11271 3% 1% 11
3 SIAM JOURNAL ON OPTIMIZATION 8670 4% 1% 14
4 LECTURE NOTES IN ECONOMICS AND MATHEMATICAL SYSTEMS 8406 4% 1% 14
5 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 6904 5% 0% 21
6 JOURNAL OF EVOLUTION EQUATIONS 5420 2% 1% 6
7 JOURNAL OF DIFFERENTIAL EQUATIONS 5323 6% 0% 22
8 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 4098 7% 0% 25
9 JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 2864 1% 1% 4
10 OPTIMIZATION 2420 1% 1% 3

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 HEAVY BALL WITH FRICTION 795184 3% 100% 10 Search HEAVY+BALL+WITH+FRICTION Search HEAVY+BALL+WITH+FRICTION
2 KURDYKA LOJASIEWICZ INEQUALITY 467747 3% 59% 10 Search KURDYKA+LOJASIEWICZ+INEQUALITY Search KURDYKA+LOJASIEWICZ+INEQUALITY
3 DISSIPATIVE DYNAMICAL SYSTEM 418324 3% 48% 11 Search DISSIPATIVE+DYNAMICAL+SYSTEM Search DISSIPATIVE+DYNAMICAL+SYSTEM
4 DOMAIN DECOMPOSITION FOR PDES 408950 2% 86% 6 Search DOMAIN+DECOMPOSITION+FOR+PDES Search DOMAIN+DECOMPOSITION+FOR+PDES
5 LOJASIEWICZ INEQUALITY 350795 4% 29% 15 Search LOJASIEWICZ+INEQUALITY Search LOJASIEWICZ+INEQUALITY
6 SEMIGROUP OF LIPSCHITZ OPERATORS 331325 1% 83% 5 Search SEMIGROUP+OF+LIPSCHITZ+OPERATORS Search SEMIGROUP+OF+LIPSCHITZ+OPERATORS
7 WEAK ASYMPTOTIC CONVERGENCE 318074 1% 100% 4 Search WEAK+ASYMPTOTIC+CONVERGENCE Search WEAK+ASYMPTOTIC+CONVERGENCE
8 PROXIMAL ALGORITHM 298171 4% 25% 15 Search PROXIMAL+ALGORITHM Search PROXIMAL+ALGORITHM
9 FORWARD BACKWARD ALGORITHMS 283991 1% 71% 5 Search FORWARD+BACKWARD+ALGORITHMS Search FORWARD+BACKWARD+ALGORITHMS
10 DISSIPATIVE DYNAMICAL SYSTEMS 267842 2% 42% 8 Search DISSIPATIVE+DYNAMICAL+SYSTEMS Search DISSIPATIVE+DYNAMICAL+SYSTEMS

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 BEGOUT, P , BOLTE, J , JENDOUBI, MA , (2015) ON DAMPED SECOND-ORDER GRADIENT SYSTEMS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 259. ISSUE 7. P. 3115 -3143 30 81% 1
2 HARAUX, A , (2012) SOME APPLICATIONS OF THE LOJASIEWICZ GRADIENT INEQUALITY.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 11. ISSUE 6. P. 2417 -2427 17 100% 2
3 BOT, RI , CSETNEK, ER , (2016) SECOND ORDER FORWARD-BACKWARD DYNAMICAL SYSTEMS FOR MONOTONE INCLUSION PROBLEMS.SIAM JOURNAL ON CONTROL AND OPTIMIZATION. VOL. 54. ISSUE 3. P. 1423 -1443 17 89% 0
4 BOT, RI , CSETNEK, ER , (2016) AN INERTIAL TSENG'S TYPE PROXIMAL ALGORITHM FOR NONSMOOTH AND NONCONVEX OPTIMIZATION PROBLEMS.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. VOL. 171. ISSUE 2. P. 600 -616 18 72% 1
5 HARAUX, A , JENDOUBI, MA , (2011) THE LOJASIEWICZ GRADIENT INEQUALITY IN THE INFINITE-DIMENSIONAL HILBERT SPACE FRAMEWORK.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 260. ISSUE 9. P. 2826-2842 14 100% 8
6 BARTA, T , (2016) DECAY ESTIMATES FOR SOLUTIONS OF ABSTRACT WAVE EQUATIONS WITH GENERAL DAMPING FUNCTION.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 12 92% 0
7 BEN HASSEN, I , HARAUX, A , (2011) CONVERGENCE AND DECAY ESTIMATES FOR A CLASS OF SECOND ORDER DISSIPATIVE EQUATIONS INVOLVING A NON-NEGATIVE POTENTIAL ENERGY.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 260. ISSUE 10. P. 2933-2963 12 100% 6
8 PIERRE, M , ROGEON, P , (2016) CONVERGENCE TO EQUILIBRIUM FOR A TIME SEMI-DISCRETE DAMPED WAVE EQUATION.JOURNAL OF APPLIED ANALYSIS AND COMPUTATION. VOL. 6. ISSUE 4. P. 1041 -1048 14 78% 0
9 GRASSELLI, M , PIERRE, M , (2012) CONVERGENCE TO EQUILIBRIUM OF SOLUTIONS OF THE BACKWARD EULER SCHEME FOR ASYMPTOTICALLY AUTONOMOUS SECOND-ORDER GRADIENT-LIKE SYSTEMS.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 11. ISSUE 6. P. 2393 -2416 17 68% 2
10 ALOUI, F , BEN HASSEN, I , HARAUX, A , (2013) COMPACTNESS OF TRAJECTORIES TO SOME NONLINEAR SECOND ORDER EVOLUTION EQUATIONS AND APPLICATIONS.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES. VOL. 100. ISSUE 3. P. 295-326 13 87% 1

Classes with closest relation at Level 1


Rank Class id link
1 6918 VARIATIONAL INCLUSION//AUXILIARY PRINCIPLE//VARIATIONAL INEQUALITY
2 36676 CONVERGENCE IN THE SENSE OF RESOLVENT//DISCRETE HYPERBOLIC SYSTEM//ELLIPTIC LIKE REGULARIZATION
3 23850 HADAMARD MANIFOLD//RIEMANNIAN OPTIMIZATION//MONOTONE VECTOR FIELDS
4 6982 CAHN HILLIARD EQUATION//CAHN HILLIARD//EXPONENTIAL ATTRACTOR
5 23956 FIRST ORDER METHODS//ITERATION COMPLEXITY//OPTIMAL METHODS
6 22713 CONE SPECTRAL RADIUS//DENJOY WOLFF THEOREMS//CONCAVE OPERATOR
7 17758 BUNDLE METHODS//NONSMOOTH OPTIMIZATION//NONDIFFERENTIABLE OPTIMIZATION
8 13969 CARRYING SIMPLEX//MONOTONE SKEW PRODUCT SEMIFLOWS//EXPONENTIAL SEPARATION
9 20760 DISSIPATIVE WAVE EQUATION//DAMPED WAVE EQUATION//KIRCHHOFF EQUATION
10 2836 TOTAL VARIATION//IMAGE RESTORATION//IMAGE DENOISING

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