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Author ID: brokate.martin Recent zbMATH articles by "Brokate, Martin"
Published as: Brokate, Martin; Brokate, M.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 73 Publications since 1980, including 10 Books
Reviewing Activity: 99 Reviews
Co-Authors: 38 Co-Authors with 52 Joint Publications
1,312 Co-Co-Authors
all top 5

Serials

6 Mathematical Methods in the Applied Sciences
2 Applied Mathematics and Optimization
2 Numerical Functional Analysis and Optimization
2 SIAM Journal on Control and Optimization
2 Automation and Remote Control
2 Advances in Mathematical Sciences and Applications
2 Continuum Mechanics and Thermodynamics
2 NoDEA. Nonlinear Differential Equations and Applications
2 Applied Mathematics & Information Sciences
2 Mathematik Kompakt
1 Applicable Analysis
1 IMA Journal of Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Biology
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Control and Cybernetics
1 IEEE Transactions on Automatic Control
1 Journal of Differential Equations
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Zeitschrift
1 Networks
1 Numerische Mathematik
1 Rendiconti del Seminario Matematico della Università di Padova
1 Zeitschrift für Analysis und ihre Anwendungen
1 Insurance Mathematics & Economics
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 European Journal of Mechanics. A. Solids
1 European Journal of Applied Mathematics
1 SIAM Journal on Optimization
1 Journal of Convex Analysis
1 Discrete and Continuous Dynamical Systems
1 Journal of Graph Algorithms and Applications
1 Nonlinear Analysis. Real World Applications
1 Discrete and Continuous Dynamical Systems. Series B
1 Applied Mathematical Sciences
1 Mathematical Modelling of Natural Phenomena
1 Industrial and Applied Mathematics
1 Compact Textbooks in Mathematics

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 710 times in 576 Documents Cited by Year
Hysteresis and phase transitions. Zbl 0951.74002
Brokate, Martin; Sprekels, Jürgen
302
1996
Pontryagin’s principle for control problems in age-dependent population dynamics. Zbl 0599.92017
Brokate, Martin
77
1985
Stochastic stability of the extended Kalman filter with intermittent observations. Zbl 1368.93717
Kluge, Sebastian; Reif, Konrad; Brokate, Martin
46
2010
Optimal control of ODE systems involving a rate independent variational inequality. Zbl 1260.49002
Brokate, Martin; Krejčí, Pavel
46
2013
Properties of the Preisach model for hysteresis. Zbl 0682.47034
Brokate, Martin; Visintin, Augusto
22
1989
Linearizing equations with state-dependent delays. Zbl 0694.34050
Brokate, Martin; Colonius, Fritz
16
1990
On uniqueness in evolution quasivariational inequalities. Zbl 1061.49006
Brokate, Martin; Krejčí, Pavel; Schnabel, Hans
14
2004
Rainflow counting and energy dissipation for hysteresis models in elastoplasticity. Zbl 0863.73022
Brokate, Martin; Dressler, Klaus; Krejčí, Pavel
11
1996
Weak differentiability of scalar hysteresis operators. Zbl 1338.47118
Brokate, Martin; Krejčí, Pavel
10
2015
Differential equations with hysteresis via a canonical example. Zbl 1142.34026
Brokate, Martin; Pokrovskii, Alexej; Rachinskii, Dmitrii; Rasskazov, Oleg
9
2006
On crack propagation shapes in elastic bodies. Zbl 1099.74013
Brokate, M.; Khludnev, A.
9
2004
A quasi-static boundary value problem in multi-surface elastoplasticity. I: Analysis. Zbl 1074.74013
Brokate, Martin; Carstensen, Carsten; Valdman, Jan
9
2004
Optimale Steuerung von gewöhnlichen Differentialgleichungen mit Nichtlinearitäten vom Hysteresis-Typ. (Optimal control of ordinary differential equations with nonlinearities of hysteresis type). Zbl 0691.49025
Brokate, Martin
9
1987
Wellposedness of kinematic hardening models in elastoplasticity. Zbl 0902.73031
Brokate, Martin; Krejčí, Pavel
9
1998
Duality in the space of regulated functions and the play operator. Zbl 1055.46023
Brokate, Martin; Krejčí, Pavel
8
2003
A regularity condition for optimization in Banach spaces: Counter examples. Zbl 0432.90080
Brokate, Martin
8
1980
Hysteresis operators. Zbl 0836.35065
Brokate, Martin
7
1994
Asymptotically stable oscillations in systems with hysteresis nonlinearities. Zbl 0919.34037
Brokate, M.; Pokrovskiĭ, A. V.
7
1998
Some BV properties of the Preisach hysteresis operator. Zbl 0666.47040
Brokate, Martin
7
1989
A quasi-static boundary value problem in multi-surface elastoplasticity. II: Numerical solution. Zbl 1112.74007
Brokate, Martin; Carstensen, Carsten; Valdman, Jan
7
2005
Asymptotic stability of continuum sets of periodic solutions to systems with hysteresis. Zbl 1111.34035
Brokate, M.; Pokrovskii, A.; Rachinskii, D.
6
2006
Elastoplastic constitutive laws of nonlinear kinematic hardening type. Zbl 0911.73021
Brokate, M.
6
1998
Existence and optimal control of mechanical processes with hysteresis in viscous solids. Zbl 0695.73007
Brokate, M.; Sprekels, J.
6
1989
Necessary optimality conditions for the control of semilinear hyperbolic boundary value problems. Zbl 0629.49013
Brokate, Martin
6
1987
Some analytical properties of the multidimensional continuous Mróz model of plasticity. Zbl 0967.74016
Brokate, Martin; Krejčí, Pavel; Rachinskii, Dmitrii
5
1998
Optimal design for heat conduction problems with hysteresis. Zbl 0696.49054
Brokate, Martin; Friedman, Avner
5
1989
On a characterization of the Preisach model for hysteresis. Zbl 0719.47053
Brokate, Martin
4
1990
Existence of solutions in the Prandtl-Reuss theory of elastoplastic plates. Zbl 0965.74014
Brokate, M.; Khludnev, A. M.
4
2000
On the wellposedness of the Chaboche model. Zbl 0911.47066
Brokate, Martin; Krejčí, Pavel
3
1998
Maximum norm well-posedness of nonlinear kinmatic hardening models. Zbl 0903.73018
Brokate, Martin; Krejčí, Pavel
3
1997
On a certain optimal harvesting problem with continuous age structure. Zbl 0622.49006
Brokate, Martin
3
1987
On the Mróz model. Zbl 0857.73028
Brokate, Martin; Dressler, Klaus; Krejčí, Pavel
2
1996
Some numerical simulations of pseudoelastic hysteresis in shape memory alloys. Zbl 0785.73032
Brokate, M.; Theel, J.
2
1993
Optimal control of systems described by ordinary differential equations with nonlinear characteristics of the hysteresis type. Zbl 0803.49002
Brokate, M.
2
1991
New complexity results for time-constrained dynamical optimal path problems. Zbl 1194.05149
Kluge, Sebastian; Brokate, Martin; Reif, Konrad
2
2010
Asymptotically stable almost-periodic oscillations in systems with hysteresis nonlinearities. Zbl 0972.47064
Brokate, M.; Collings, I.; Pokrovskij, A. V.; Stagnitti, F.
2
2000
Optimal control of ODE systems with hysteresis nonlinearities. Zbl 0637.49001
Brokate, Martin
2
1988
Calculus for scientists and engineers. Zbl 1422.00004
Brokate, Martin; Manchanda, Pammy; Siddiqi, Abul Hasan
1
2019
Computation of the optimal value function in time-dependent networks. Zbl 1338.90081
Kluge, Sebastian; Reif, Konrad; Brokate, Martin
1
2013
Optimal control of the semilinear wave equation with hysteresis. Zbl 0716.49004
Brokate, M.
1
1990
Sensitivity in the rigid punch problem. Zbl 0784.49009
Brokate, Martin; Siddiqi, Abul Hasan
1
1993
Optimal control of shape memory alloys with solid-solid phase transitions. Zbl 0793.49009
Brokate, M.; Sprekels, J.
1
1993
Optimal control of systems described by ordinary differential equations with nonlinear characteristics of hysteresis type. Zbl 0794.93048
Brokate, M.
1
1992
Measure and integral. Translated from the German by the authors. Zbl 1318.28001
Brokate, Martin; Kersting, Götz
1
2015
The Mróz model: A hysteresis operator for rate-independent plasticity. Zbl 0858.47039
Brokate, Martin; Dressler, Klaus; Krejčí, Pavel
1
1996
Rate independent hysteresis. Zbl 0988.47048
Brokate, M.
1
2000
Optimal control of thermomechanical phase transitions in shape memory alloys: Necessary conditions of optimality. Zbl 0748.49014
Brokate, Martin; Sprekels, Jürgen
1
1991
On the moving Preisach model. Zbl 0756.47052
Brokate, Martin
1
1992
Newton and Bouligand derivatives of the scalar play and stop operator. Zbl 07372581
Brokate, Martin
1
2020
On global stability of the scalar Chaboche models. Zbl 1101.34032
Brokate, M.; Rachinskii, D.
1
2005
A hyperbolic free boundary problem: Existence, uniqueness and discretization. Zbl 0489.35078
Brokate, Martin
1
1982
Newton and Bouligand derivatives of the scalar play and stop operator. Zbl 07372581
Brokate, Martin
1
2020
Calculus for scientists and engineers. Zbl 1422.00004
Brokate, Martin; Manchanda, Pammy; Siddiqi, Abul Hasan
1
2019
Weak differentiability of scalar hysteresis operators. Zbl 1338.47118
Brokate, Martin; Krejčí, Pavel
10
2015
Measure and integral. Translated from the German by the authors. Zbl 1318.28001
Brokate, Martin; Kersting, Götz
1
2015
Optimal control of ODE systems involving a rate independent variational inequality. Zbl 1260.49002
Brokate, Martin; Krejčí, Pavel
46
2013
Computation of the optimal value function in time-dependent networks. Zbl 1338.90081
Kluge, Sebastian; Reif, Konrad; Brokate, Martin
1
2013
Stochastic stability of the extended Kalman filter with intermittent observations. Zbl 1368.93717
Kluge, Sebastian; Reif, Konrad; Brokate, Martin
46
2010
New complexity results for time-constrained dynamical optimal path problems. Zbl 1194.05149
Kluge, Sebastian; Brokate, Martin; Reif, Konrad
2
2010
Differential equations with hysteresis via a canonical example. Zbl 1142.34026
Brokate, Martin; Pokrovskii, Alexej; Rachinskii, Dmitrii; Rasskazov, Oleg
9
2006
Asymptotic stability of continuum sets of periodic solutions to systems with hysteresis. Zbl 1111.34035
Brokate, M.; Pokrovskii, A.; Rachinskii, D.
6
2006
A quasi-static boundary value problem in multi-surface elastoplasticity. II: Numerical solution. Zbl 1112.74007
Brokate, Martin; Carstensen, Carsten; Valdman, Jan
7
2005
On global stability of the scalar Chaboche models. Zbl 1101.34032
Brokate, M.; Rachinskii, D.
1
2005
On uniqueness in evolution quasivariational inequalities. Zbl 1061.49006
Brokate, Martin; Krejčí, Pavel; Schnabel, Hans
14
2004
On crack propagation shapes in elastic bodies. Zbl 1099.74013
Brokate, M.; Khludnev, A.
9
2004
A quasi-static boundary value problem in multi-surface elastoplasticity. I: Analysis. Zbl 1074.74013
Brokate, Martin; Carstensen, Carsten; Valdman, Jan
9
2004
Duality in the space of regulated functions and the play operator. Zbl 1055.46023
Brokate, Martin; Krejčí, Pavel
8
2003
Existence of solutions in the Prandtl-Reuss theory of elastoplastic plates. Zbl 0965.74014
Brokate, M.; Khludnev, A. M.
4
2000
Asymptotically stable almost-periodic oscillations in systems with hysteresis nonlinearities. Zbl 0972.47064
Brokate, M.; Collings, I.; Pokrovskij, A. V.; Stagnitti, F.
2
2000
Rate independent hysteresis. Zbl 0988.47048
Brokate, M.
1
2000
Wellposedness of kinematic hardening models in elastoplasticity. Zbl 0902.73031
Brokate, Martin; Krejčí, Pavel
9
1998
Asymptotically stable oscillations in systems with hysteresis nonlinearities. Zbl 0919.34037
Brokate, M.; Pokrovskiĭ, A. V.
7
1998
Elastoplastic constitutive laws of nonlinear kinematic hardening type. Zbl 0911.73021
Brokate, M.
6
1998
Some analytical properties of the multidimensional continuous Mróz model of plasticity. Zbl 0967.74016
Brokate, Martin; Krejčí, Pavel; Rachinskii, Dmitrii
5
1998
On the wellposedness of the Chaboche model. Zbl 0911.47066
Brokate, Martin; Krejčí, Pavel
3
1998
Maximum norm well-posedness of nonlinear kinmatic hardening models. Zbl 0903.73018
Brokate, Martin; Krejčí, Pavel
3
1997
Hysteresis and phase transitions. Zbl 0951.74002
Brokate, Martin; Sprekels, Jürgen
302
1996
Rainflow counting and energy dissipation for hysteresis models in elastoplasticity. Zbl 0863.73022
Brokate, Martin; Dressler, Klaus; Krejčí, Pavel
11
1996
On the Mróz model. Zbl 0857.73028
Brokate, Martin; Dressler, Klaus; Krejčí, Pavel
2
1996
The Mróz model: A hysteresis operator for rate-independent plasticity. Zbl 0858.47039
Brokate, Martin; Dressler, Klaus; Krejčí, Pavel
1
1996
Hysteresis operators. Zbl 0836.35065
Brokate, Martin
7
1994
Some numerical simulations of pseudoelastic hysteresis in shape memory alloys. Zbl 0785.73032
Brokate, M.; Theel, J.
2
1993
Sensitivity in the rigid punch problem. Zbl 0784.49009
Brokate, Martin; Siddiqi, Abul Hasan
1
1993
Optimal control of shape memory alloys with solid-solid phase transitions. Zbl 0793.49009
Brokate, M.; Sprekels, J.
1
1993
Optimal control of systems described by ordinary differential equations with nonlinear characteristics of hysteresis type. Zbl 0794.93048
Brokate, M.
1
1992
On the moving Preisach model. Zbl 0756.47052
Brokate, Martin
1
1992
Optimal control of systems described by ordinary differential equations with nonlinear characteristics of the hysteresis type. Zbl 0803.49002
Brokate, M.
2
1991
Optimal control of thermomechanical phase transitions in shape memory alloys: Necessary conditions of optimality. Zbl 0748.49014
Brokate, Martin; Sprekels, Jürgen
1
1991
Linearizing equations with state-dependent delays. Zbl 0694.34050
Brokate, Martin; Colonius, Fritz
16
1990
On a characterization of the Preisach model for hysteresis. Zbl 0719.47053
Brokate, Martin
4
1990
Optimal control of the semilinear wave equation with hysteresis. Zbl 0716.49004
Brokate, M.
1
1990
Properties of the Preisach model for hysteresis. Zbl 0682.47034
Brokate, Martin; Visintin, Augusto
22
1989
Some BV properties of the Preisach hysteresis operator. Zbl 0666.47040
Brokate, Martin
7
1989
Existence and optimal control of mechanical processes with hysteresis in viscous solids. Zbl 0695.73007
Brokate, M.; Sprekels, J.
6
1989
Optimal design for heat conduction problems with hysteresis. Zbl 0696.49054
Brokate, Martin; Friedman, Avner
5
1989
Optimal control of ODE systems with hysteresis nonlinearities. Zbl 0637.49001
Brokate, Martin
2
1988
Optimale Steuerung von gewöhnlichen Differentialgleichungen mit Nichtlinearitäten vom Hysteresis-Typ. (Optimal control of ordinary differential equations with nonlinearities of hysteresis type). Zbl 0691.49025
Brokate, Martin
9
1987
Necessary optimality conditions for the control of semilinear hyperbolic boundary value problems. Zbl 0629.49013
Brokate, Martin
6
1987
On a certain optimal harvesting problem with continuous age structure. Zbl 0622.49006
Brokate, Martin
3
1987
Pontryagin’s principle for control problems in age-dependent population dynamics. Zbl 0599.92017
Brokate, Martin
77
1985
A hyperbolic free boundary problem: Existence, uniqueness and discretization. Zbl 0489.35078
Brokate, Martin
1
1982
A regularity condition for optimization in Banach spaces: Counter examples. Zbl 0432.90080
Brokate, Martin
8
1980
all top 5

Cited by 670 Authors

44 Krejčí, Pavel
17 Miranville, Alain M.
17 Rachinskii, Dmitrii I.
14 Mordukhovich, Boris S.
14 Sprekels, Jürgen
13 Brokate, Martin
13 Giorgi, Claudio
13 Timoshin, Sergey A.
12 Stefanelli, Ulisse
12 Veliov, Vladimir M.
12 Wang, Zidong
11 Colli, Pierluigi
10 Eleuteri, Michela
10 Fabrizio, Mauro
10 Gilardi, Gianni
10 Hritonenko, Natali
10 Luo, Zhixue
10 Recupero, Vincenzo
10 Rocca, Elisabetta
10 Visintin, Augusto
9 Aniţa, Sebastian
9 Colombo, Giovanni
9 Grasselli, Maurizio
9 He, Zerong
9 Yatsenko, Yuri
8 Kopfová, Jana
8 Morro, Angelo
7 Aiki, Toyohiko
7 Gurevich, Pavel L.
7 Kubo, Masahiro
7 Roubíček, Tomáš
7 Tan, Xiaobo
7 Xia, Yuanqing
6 Feichtinger, Gustav
6 Marinoschi, Gabriela
6 Mielke, Alexander
6 Quintanilla de Latorre, Ramón
6 Tesei, Alberto
6 Valdman, Jan
6 Yoshikawa, Shuji
5 Berti, Alessia
5 Cao, Tan H.
5 Hartung, Ferenc
5 Hu, Jun
5 Klein, Olaf
5 Li, Li
5 Nguyen, Dao
5 Tolstonogov, Aleksandr Aleksandrovich
4 Gao, Huijun
4 Ikhouane, Fayçal
4 Kenmochi, Nobuyuki
4 Kordulová, Petra
4 Kovtunenko, Viktor Anatolievich
4 Kuhnen, Klaus
4 Logemann, Hartmut
4 Minchev, Emil
4 Monteiro, Giselle Antunes
4 Münch, Christian
4 Ryan, Eugene P.
4 Shen, Bo
4 Smarrazzo, Flavia
3 Bagagiolo, Fabio
3 Barbu, Viorel
3 Bauer, Erich
3 Bonetti, Elena
3 Čermák, Martin
3 Darwish, Mohamed Abdalla
3 Davino, Daniele
3 Dressler, Klaus
3 Gasiński, Leszek
3 Gavioli, Chiara
3 Hartl, Richard F.
3 Jayawardhana, Bayu
3 Jourani, Abderrahim
3 Kamenskiĭ, Mikhaĭl Igor’evich
3 Khludnev, Aleksandr Mikhaĭlovich
3 Kort, Peter M.
3 Kumazaki, Kota
3 Lamba, Harbir
3 Moşneagu, Ana-Maria
3 Pokrovskiĭ, Alexeĭ Vadimovich
3 Schimperna, Giulio
3 Siváková, Lenka
3 Su, Chunyi
3 Thibault, Lionel
3 Vilches, Emilio
3 Visone, Ciro
3 Wang, Miansen
3 Wang, Yifu
3 Zheng, Jiashan
3 Zheng, Songmu
2 Ainseba, Bedr’Eddine
2 Aleksandrov, Konstantin Dmitrievich
2 Almi, Stefano
2 Alsaadi, Fuad Eid S.
2 Amosov, Andreĭ Avenirovich
2 Andami Ovono, Armel
2 Aniţa, Laura-Iulia
2 Arnăutu, Viorel
2 Azzam-Laouir, Dalila
...and 570 more Authors
all top 5

Cited in 167 Serials

33 Journal of Mathematical Analysis and Applications
30 Automatica
29 Journal of Differential Equations
22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
18 Nonlinear Analysis. Real World Applications
17 Applications of Mathematics
15 Journal of Optimization Theory and Applications
14 Mathematical Methods in the Applied Sciences
14 Applied Mathematics and Computation
13 SIAM Journal on Control and Optimization
12 Journal of the Franklin Institute
12 Mathematical Modelling of Natural Phenomena
11 Discrete and Continuous Dynamical Systems. Series B
11 Discrete and Continuous Dynamical Systems. Series S
9 Applied Mathematics and Optimization
8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
7 Quarterly of Applied Mathematics
7 Journal of Dynamics and Differential Equations
6 Continuum Mechanics and Thermodynamics
5 Archive for Rational Mechanics and Analysis
5 International Journal of Control
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Journal of Computational and Applied Mathematics
5 Physica D
5 Applied Mathematics Letters
5 Mathematical and Computer Modelling
5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Mathematical Biosciences
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Information Sciences
4 NoDEA. Nonlinear Differential Equations and Applications
4 Discrete and Continuous Dynamical Systems
4 Mathematical Problems in Engineering
4 Mathematical Population Studies
4 European Journal of Control
4 Nonlinear Dynamics
4 Communications in Nonlinear Science and Numerical Simulation
4 Set-Valued and Variational Analysis
3 International Journal of Engineering Science
3 Mathematics and Computers in Simulation
3 Numerical Functional Analysis and Optimization
3 Zeitschrift für Analysis und ihre Anwendungen
3 Acta Applicandae Mathematicae
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Optimization
3 Journal of Economic Dynamics & Control
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 SIAM Journal on Optimization
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Calculus of Variations and Partial Differential Equations
3 Journal of Mathematical Sciences (New York)
3 Journal of Convex Analysis
3 Differential Equations
3 Communications on Pure and Applied Analysis
3 Central European Journal of Mathematics
3 International Journal of Biomathematics
3 Mathematical Control and Related Fields
2 Acta Mechanica
2 Computers & Mathematics with Applications
2 Computer Methods in Applied Mechanics and Engineering
2 International Journal of Systems Science
2 Journal of Mathematical Biology
2 Mathematical Notes
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Mathematische Nachrichten
2 Meccanica
2 Numerische Mathematik
2 Systems & Control Letters
2 Applied Numerical Mathematics
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Asymptotic Analysis
2 Journal of Integral Equations and Applications
2 SIAM Journal on Applied Mathematics
2 International Journal of Robust and Nonlinear Control
2 Applied Mathematics. Series B (English Edition)
2 Doklady Mathematics
2 Journal of Evolution Equations
2 Journal of Applied Mathematics and Computing
2 SIAM Journal on Applied Dynamical Systems
2 International Journal of Fracture
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Evolution Equations and Control Theory
2 Nonlinear Analysis. Theory, Methods & Applications
1 Applicable Analysis
1 International Journal of General Systems
1 Journal of Mathematical Physics
1 Journal of the Mechanics and Physics of Solids
1 Rocky Mountain Journal of Mathematics
1 Acta Mathematica Vietnamica
1 Computing
1 Czechoslovak Mathematical Journal
1 Fasciculi Mathematici
1 Fuzzy Sets and Systems
1 IEEE Transactions on Automatic Control
1 Journal of Economic Theory
1 Journal of Mathematical Economics
1 Journal of the Mathematical Society of Japan
1 Le Matematiche
1 Networks
...and 67 more Serials

Citations by Year

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