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Strogatz, Steven Henry

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Author ID: strogatz.steven-h Recent zbMATH articles by "Strogatz, Steven Henry"
Published as: Strogatz, S. H.; Strogatz, Steven; Strogatz, Steven H.
Homepage: http://www.stevenstrogatz.com/
External Links: MGP · Wikidata · ORCID · dblp · GND
Documents Indexed: 53 Publications since 1985, including 9 Books

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 4,314 times in 3,357 Documents Cited by Year
Collective dynamics of ‘small-world’ networks. Zbl 1368.05139
Watts, Duncan J.; Strogatz, Steven H.
1998
Exploring complex networks. Zbl 1370.90052
Strogatz, Steven H.
723
2001
From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators. Zbl 0983.34022
Strogatz, Steven H.
274
2000
Synchronization of pulse-coupled biological oscillators. Zbl 0712.92006
Mirollo, Renato E.; Strogatz, Steven H.
271
1990
Nonlinear dynamics and chaos. With applications to physics, biology, chemistry, and engineering. 2nd edition. Zbl 1343.37001
Strogatz, Steven H.
166
2015
Constants of motion for superconducting Josephson arrays. Zbl 0812.34043
Watanabe, Shinya; Strogatz, Steven H.
110
1994
Random graph models of social networks. Zbl 1114.91362
Newman, M. E. J.; Watts, D. J.; Strogatz, S. H.
69
2002
The spectrum of the locked state for the Kuramoto model of coupled oscillators. Zbl 1085.34033
Mirollo, Renato E.; Strogatz, Steven H.
68
2005
Chimera states in a ring of nonlocally coupled oscillators. Zbl 1101.37319
Abrams, Daniel M.; Strogatz, Steven H.
63
2006
Modeling a synthetic multicellular clock: repressilators coupled by quorum sensing. Zbl 1064.92019
Garcia-Ojalvo, Jordi; Elowitz, Michael B.; Strogatz, Steven H.
57
2004
Integrability of a globally coupled oscillator array. Zbl 1063.34505
Watanabe, Shinya; Strogatz, Steven H.
55
1993
The spectrum of the partially locked state for the Kuramoto model. Zbl 1119.37051
Mirollo, R.; Strogatz, S. H.
54
2007
Coupled nonlinear oscillators below the synchronization threshold: Relaxation by generalized Landau damping. Zbl 0969.92501
Strogatz, Steven H.; Mirollo, Renato E.; Matthews, Paul C.
53
1992
Amplitude death in an array of limit-cycle oscillators. Zbl 1086.34525
Mirollo, Renato E.; Strogatz, Steven H.
52
1990
The size of the sync basin. Zbl 1144.37417
Wiley, Daniel A.; Strogatz, Steven H.; Girvan, Michelle
49
2006
Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action. Zbl 1311.34082
Marvel, Seth A.; Mirollo, Renato E.; Strogatz, Steven H.
45
2009
Dynamics of a large system of coupled nonlinear oscillators. Zbl 0742.34035
Matthews, Paul C.; Mirollo, Renato E.; Strogatz, Steven H.
37
1991
Phase diagram for the collective behavior of limit-cycle oscillators. Zbl 1050.82538
Matthews, Paul C.; Strogatz, Steven H.
34
1990
Stability diagram for the forced Kuramoto model. Zbl 1309.34088
Childs, Lauren M.; Strogatz, Steven H.
32
2008
Dynamics of a globally coupled oscillator array. Zbl 0718.34060
Tsang, Kwok Yeung; Mirollo, Renato E.; Strogatz, Steven H.; Wiesenfeld, Kurt
29
1991
Phase-locking and critical phenomena in lattices of coupled nonlinear oscillators with random intrinsic frequencies. Zbl 0642.60047
Strogatz, Steven H.; Mirollo, Renato E.
27
1988
Chaotic streamlines inside drops immersed in steady Stokes flows. Zbl 0729.76592
Stone, H. A.; Nadim, Ali; Strogatz, Steven H.
25
1991
Robustness and signal recovery in a synchronized chaotic system. Zbl 0884.94008
Cuomo, Kevin M.; Oppenheim, Alan V.; Strogatz, Steven
22
1993
Averaging of globally coupled oscillators. Zbl 0743.34049
Swift, James W.; Strogatz, Steven H.; Wiesenfeld, Kurt
22
1992
Invariant submanifold for series arrays of Josephson junctions. Zbl 1311.37015
Marvel, Seth A.; Strogatz, Steven H.
21
2009
The joy of \(x\). A guided tour of mathematics, from one to infinity. Reprint of the 2012 hardback edition. Zbl 1297.00004
Strogatz, Steven
19
2014
Dynamics of circular arrays of Josephson junctions and the discrete sine-Gordon equation. Zbl 1194.35432
Watanabe, Shinya; Van Der Zant, Herre S. J.; Strogatz, Steven H.; Orlando, Terry P.
15
1996
Norbert Wiener’s brain waves. Zbl 0820.92006
Strogatz, Steven H.
15
1994
Collective synchronisation in lattices of non-linear oscillators with randomness. Zbl 0654.60105
Strogatz, Steven H.; Mirollo, Renato E.
14
1988
Stability of synchronization in networks of digital phase-locked loops. Zbl 0890.94039
Goldsztein, Guillermo; Strogatz, Steven H.
13
1995
Collective dynamics of coupled oscillators with random pinning. Zbl 0672.70031
Strogatz, Steven H.; Marcus, Charles M.; Westervelt, Robert M.; Mirollo, Renato E.
10
1989
Human sleep and circadian rhythms: a simple model based on two coupled oscillators. Zbl 0615.92021
Strogatz, Steven H.
9
1987
The mathematical structure of the human sleep-wake cycle. Zbl 0596.92025
Strogatz, Steven H.
6
1986
The birth of period three. Zbl 0856.58012
Saha, Partha; Strogatz, Steven H.
5
1995
Jump bifurcation and hysteresis in an infinite-dimensional dynamical system of coupled spins. Zbl 0692.58043
Mirollo, Renato E.; Strogatz, Steven H.
4
1990
Limit cycles sparked by mutation in the repeated Prisoner’s Dilemma. Zbl 1305.34079
Toupo, Danielle F. P.; Rand, David G.; Strogatz, Steven H.
3
2014
The differential geometry of scroll waves. Zbl 0874.53002
Tyson, John J.; Strogatz, Steven H.
3
1991
Integral representation of a finite spike. Zbl 0776.26005
Mirollo, R. E.; Strogatz, S. H.
3
1990
Evolutionary game dynamics of controlled and automatic decision-making. Zbl 1376.91078
Toupo, Danielle F. P.; Strogatz, Steven H.; Cohen, Jonathan D.; Rand, David G.
2
2015
The calculus of friendship. What a teacher and a student learned about life while corresponding about math. Zbl 1182.00006
Strogatz, Steven
2
2009
Book review of: N. Gershenfeld, The nature of mathematical modeling. Zbl 1323.00045
Strogatz, Steven H.
2
2000
Dynamical hysteresis without static hysteresis: Scaling laws and asymptotic expansions. Zbl 0886.34052
Goldsztein, Guillermo H.; Broner, Fernando; Strogatz, Steven H.
2
1997
Dense networks that do not synchronize and sparse ones that do. Zbl 1445.34061
Townsend, Alex; Stillman, Michael; Strogatz, Steven H.
1
2020
Education of a model student. Zbl 1355.91018
Novikoff, Timothy P.; Kleinberg, Jon M.; Strogatz, Steven H.
1
2011
From inflammation to wound healing: using a simple model to understand the functional versatility of murine macrophages. Zbl 1334.92193
Childs, Lauren M.; Paskow, Michael; Morris, Sidney M. jun.; Hesse, Matthias; Strogatz, Steven
1
2011
Yeast oscillations, Belousov-Zhabotinsky waves, and the non-retraction theorem. Zbl 0552.92010
Strogatz, Steven
1
1985
Dense networks that do not synchronize and sparse ones that do. Zbl 1445.34061
Townsend, Alex; Stillman, Michael; Strogatz, Steven H.
1
2020
Nonlinear dynamics and chaos. With applications to physics, biology, chemistry, and engineering. 2nd edition. Zbl 1343.37001
Strogatz, Steven H.
166
2015
Evolutionary game dynamics of controlled and automatic decision-making. Zbl 1376.91078
Toupo, Danielle F. P.; Strogatz, Steven H.; Cohen, Jonathan D.; Rand, David G.
2
2015
The joy of \(x\). A guided tour of mathematics, from one to infinity. Reprint of the 2012 hardback edition. Zbl 1297.00004
Strogatz, Steven
19
2014
Limit cycles sparked by mutation in the repeated Prisoner’s Dilemma. Zbl 1305.34079
Toupo, Danielle F. P.; Rand, David G.; Strogatz, Steven H.
3
2014
Education of a model student. Zbl 1355.91018
Novikoff, Timothy P.; Kleinberg, Jon M.; Strogatz, Steven H.
1
2011
From inflammation to wound healing: using a simple model to understand the functional versatility of murine macrophages. Zbl 1334.92193
Childs, Lauren M.; Paskow, Michael; Morris, Sidney M. jun.; Hesse, Matthias; Strogatz, Steven
1
2011
Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action. Zbl 1311.34082
Marvel, Seth A.; Mirollo, Renato E.; Strogatz, Steven H.
45
2009
Invariant submanifold for series arrays of Josephson junctions. Zbl 1311.37015
Marvel, Seth A.; Strogatz, Steven H.
21
2009
The calculus of friendship. What a teacher and a student learned about life while corresponding about math. Zbl 1182.00006
Strogatz, Steven
2
2009
Stability diagram for the forced Kuramoto model. Zbl 1309.34088
Childs, Lauren M.; Strogatz, Steven H.
32
2008
The spectrum of the partially locked state for the Kuramoto model. Zbl 1119.37051
Mirollo, R.; Strogatz, S. H.
54
2007
Chimera states in a ring of nonlocally coupled oscillators. Zbl 1101.37319
Abrams, Daniel M.; Strogatz, Steven H.
63
2006
The size of the sync basin. Zbl 1144.37417
Wiley, Daniel A.; Strogatz, Steven H.; Girvan, Michelle
49
2006
The spectrum of the locked state for the Kuramoto model of coupled oscillators. Zbl 1085.34033
Mirollo, Renato E.; Strogatz, Steven H.
68
2005
Modeling a synthetic multicellular clock: repressilators coupled by quorum sensing. Zbl 1064.92019
Garcia-Ojalvo, Jordi; Elowitz, Michael B.; Strogatz, Steven H.
57
2004
Random graph models of social networks. Zbl 1114.91362
Newman, M. E. J.; Watts, D. J.; Strogatz, S. H.
69
2002
Exploring complex networks. Zbl 1370.90052
Strogatz, Steven H.
723
2001
From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators. Zbl 0983.34022
Strogatz, Steven H.
274
2000
Book review of: N. Gershenfeld, The nature of mathematical modeling. Zbl 1323.00045
Strogatz, Steven H.
2
2000
Collective dynamics of ‘small-world’ networks. Zbl 1368.05139
Watts, Duncan J.; Strogatz, Steven H.
1998
Dynamical hysteresis without static hysteresis: Scaling laws and asymptotic expansions. Zbl 0886.34052
Goldsztein, Guillermo H.; Broner, Fernando; Strogatz, Steven H.
2
1997
Dynamics of circular arrays of Josephson junctions and the discrete sine-Gordon equation. Zbl 1194.35432
Watanabe, Shinya; Van Der Zant, Herre S. J.; Strogatz, Steven H.; Orlando, Terry P.
15
1996
Stability of synchronization in networks of digital phase-locked loops. Zbl 0890.94039
Goldsztein, Guillermo; Strogatz, Steven H.
13
1995
The birth of period three. Zbl 0856.58012
Saha, Partha; Strogatz, Steven H.
5
1995
Constants of motion for superconducting Josephson arrays. Zbl 0812.34043
Watanabe, Shinya; Strogatz, Steven H.
110
1994
Norbert Wiener’s brain waves. Zbl 0820.92006
Strogatz, Steven H.
15
1994
Integrability of a globally coupled oscillator array. Zbl 1063.34505
Watanabe, Shinya; Strogatz, Steven H.
55
1993
Robustness and signal recovery in a synchronized chaotic system. Zbl 0884.94008
Cuomo, Kevin M.; Oppenheim, Alan V.; Strogatz, Steven
22
1993
Coupled nonlinear oscillators below the synchronization threshold: Relaxation by generalized Landau damping. Zbl 0969.92501
Strogatz, Steven H.; Mirollo, Renato E.; Matthews, Paul C.
53
1992
Averaging of globally coupled oscillators. Zbl 0743.34049
Swift, James W.; Strogatz, Steven H.; Wiesenfeld, Kurt
22
1992
Dynamics of a large system of coupled nonlinear oscillators. Zbl 0742.34035
Matthews, Paul C.; Mirollo, Renato E.; Strogatz, Steven H.
37
1991
Dynamics of a globally coupled oscillator array. Zbl 0718.34060
Tsang, Kwok Yeung; Mirollo, Renato E.; Strogatz, Steven H.; Wiesenfeld, Kurt
29
1991
Chaotic streamlines inside drops immersed in steady Stokes flows. Zbl 0729.76592
Stone, H. A.; Nadim, Ali; Strogatz, Steven H.
25
1991
The differential geometry of scroll waves. Zbl 0874.53002
Tyson, John J.; Strogatz, Steven H.
3
1991
Synchronization of pulse-coupled biological oscillators. Zbl 0712.92006
Mirollo, Renato E.; Strogatz, Steven H.
271
1990
Amplitude death in an array of limit-cycle oscillators. Zbl 1086.34525
Mirollo, Renato E.; Strogatz, Steven H.
52
1990
Phase diagram for the collective behavior of limit-cycle oscillators. Zbl 1050.82538
Matthews, Paul C.; Strogatz, Steven H.
34
1990
Jump bifurcation and hysteresis in an infinite-dimensional dynamical system of coupled spins. Zbl 0692.58043
Mirollo, Renato E.; Strogatz, Steven H.
4
1990
Integral representation of a finite spike. Zbl 0776.26005
Mirollo, R. E.; Strogatz, S. H.
3
1990
Collective dynamics of coupled oscillators with random pinning. Zbl 0672.70031
Strogatz, Steven H.; Marcus, Charles M.; Westervelt, Robert M.; Mirollo, Renato E.
10
1989
Phase-locking and critical phenomena in lattices of coupled nonlinear oscillators with random intrinsic frequencies. Zbl 0642.60047
Strogatz, Steven H.; Mirollo, Renato E.
27
1988
Collective synchronisation in lattices of non-linear oscillators with randomness. Zbl 0654.60105
Strogatz, Steven H.; Mirollo, Renato E.
14
1988
Human sleep and circadian rhythms: a simple model based on two coupled oscillators. Zbl 0615.92021
Strogatz, Steven H.
9
1987
The mathematical structure of the human sleep-wake cycle. Zbl 0596.92025
Strogatz, Steven H.
6
1986
Yeast oscillations, Belousov-Zhabotinsky waves, and the non-retraction theorem. Zbl 0552.92010
Strogatz, Steven
1
1985
all top 5

Cited by 6,638 Authors

56 Ha, Seung-Yeal
36 Kurths, Jürgen
33 Cao, Jinde
31 Chen, Guanrong
23 Lu, Junan
20 Fang, Jian’an
18 Fu, Xinchu
18 Lu, Jianquan
18 Park, Juhyun (Jessie)
18 Pikovsky, Arkady S.
16 Criado, Regino
16 Romance, Miguel
15 Laing, Carlo R.
15 Xi, Lifeng
14 Estrada, Ernesto
14 Lai, Yingcheng
14 Strogatz, Steven Henry
14 Wang, Binghong
14 Wang, Jiang
14 Zhou, Wuneng
13 Jin, Zhen
13 Liu, Zengrong
13 Zhang, Zhongzhi
12 Chen, Tianping
12 Deng, Bin
12 Ott, Edward
12 Small, Michael
12 Zhang, Haifeng
12 Zheng, Song
11 Chen, Zengqiang
11 Guan, Zhihong
11 Lu, Jinhu
11 Wu, Xiaoqun
11 Yu, Wenwu
11 Zhong, Shou-Ming
10 Boccaletti, Stefano
10 Choi, Young-Pil
10 Kim, Dohyun
10 Lee, Jaeseung
10 Li, Wenxue
10 Li, Zhuchun
10 Lu, Wenlian
10 Timme, Marc
10 Wu, Zhaoyan
9 Cai, Shuiming
9 Fortuna, Luigi
9 Jiang, Haijun
9 Medvedev, Georgi S.
9 Rosenblum, Michael G.
9 Wang, Xingyuan
8 Antonsen, Thomas M. jun.
8 Arenas, Alex
8 Ashwin, Peter
8 Belykh, Igor V.
8 Chiba, Hayato
8 Deng, Yong
8 Duan, Zhisheng
8 Ho, Daniel W. C.
8 Jaćimović, Vladimir
8 Jafari, Sajad
8 Jost, Jürgen
8 Kiss, István Z.
8 Kwon, O. M.
8 Macau, Elbert E. N.
8 Mirollo, Renato E.
8 Noh, Se Eun
8 Schöll, Eckehard
8 Stanley, H. Eugene
8 Wang, Zhen
8 Wei, Xile
8 Yu, Haitao
7 Aihara, Kazuyuki
7 Anishchenko, Vadim Semenovich
7 Bronski, Jared C.
7 Chen, Fei
7 DeVille, Lee
7 Díaz-Guilera, Albert
7 Frasca, Mattia
7 Gao, Ziyou
7 Hu, Cheng
7 Jalili, Mahdi
7 Kapitaniak, Tomasz
7 Latora, Vito
7 Liu, Chen
7 Martens, Erik A.
7 Perc, Matjaž
7 Qin, Wenxin
7 Sun, Penggang
7 Wang, Qin
7 Wolfrum, Matthias
7 Yanchuk, Sergiĭ Volodymyrovych
7 Zhao, Jun
7 Zhou, Tao
7 Zou, Wei
6 Benito, Rosa Maria
6 Bick, Christian
6 Bonilla, Luis Lopez
6 Bullo, Francesco
6 Catsigeras, Eleonora
6 Cha, E. J.
...and 6,538 more Authors
all top 5

Cited in 382 Serials

387 Chaos
134 Physica D
132 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
119 Physica A
110 Chaos, Solitons and Fractals
110 Nonlinear Dynamics
81 Applied Mathematics and Computation
76 Communications in Nonlinear Science and Numerical Simulation
76 Journal of Theoretical Biology
75 International Journal of Modern Physics C
73 Journal of Statistical Physics
54 Journal of the Franklin Institute
54 Mathematical Problems in Engineering
43 Automatica
40 Discrete Dynamics in Nature and Society
39 Information Sciences
37 Neural Computation
37 The European Physical Journal B. Condensed Matter and Complex Systems
35 Journal of Statistical Mechanics: Theory and Experiment
31 Journal of Mathematical Biology
31 SIAM Journal on Applied Dynamical Systems
30 Theoretical Computer Science
30 Journal of Systems Science and Complexity
29 Mathematical Biosciences
29 Physics Letters. A
29 Complexity
27 International Journal of Modern Physics B
27 Bulletin of Mathematical Biology
27 Advances in Complex Systems
23 Abstract and Applied Analysis
23 New Journal of Physics
22 Proceedings of the National Academy of Sciences of the United States of America
22 Journal of Nonlinear Science
21 Fractals
20 Journal of Mathematical Physics
20 Neural Networks
19 Advances in Difference Equations
17 Systems & Control Letters
17 Journal of Economic Dynamics & Control
17 Networks and Heterogeneous Media
16 Modern Physics Letters B
16 Biological Cybernetics
16 Physics Reports
15 Discrete Applied Mathematics
14 Journal of Differential Equations
14 Journal of Computational Neuroscience
14 Networks and Spatial Economics
13 International Journal of Systems Science
13 Applied Mathematical Modelling
13 Journal of Applied Mathematics
12 Computers & Mathematics with Applications
12 Theoretical Population Biology
12 Nonlinear Analysis. Real World Applications
12 Nonlinear Analysis. Hybrid Systems
11 Journal of Mathematical Analysis and Applications
11 Internet Mathematics
10 International Journal of Control
10 Journal of Fluid Mechanics
10 Automation and Remote Control
10 Linear Algebra and its Applications
10 Computational & Mathematical Methods in Medicine
10 Asian Journal of Control
9 Journal of Computational and Applied Mathematics
9 The Journal of Mathematical Sociology
9 Random Structures & Algorithms
9 European Journal of Operational Research
9 International Journal of Computer Mathematics
9 SIAM Journal on Applied Mathematics
9 Computational Statistics and Data Analysis
9 International Journal of Robust and Nonlinear Control
9 Physics of Fluids
8 Advances in Applied Probability
8 Computing
8 Computers & Operations Research
8 Stochastic Processes and their Applications
7 Information Processing Letters
7 Nonlinearity
7 Journal of Applied Probability
7 Mathematics and Computers in Simulation
7 Quarterly of Applied Mathematics
7 SIAM Journal on Control and Optimization
7 Mathematical and Computer Modelling
7 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
7 Journal of Biological Dynamics
7 The Journal of Mathematical Neuroscience
6 Artificial Intelligence
6 Journal of Computational Physics
6 Journal of Economic Theory
6 Journal of Mathematical Psychology
6 Games and Economic Behavior
6 Discrete and Continuous Dynamical Systems
6 Journal of Combinatorial Optimization
6 Data Mining and Knowledge Discovery
6 Regular and Chaotic Dynamics
6 Quantitative Finance
6 Discrete and Continuous Dynamical Systems. Series B
6 Communications in Theoretical Physics
6 Games
5 International Journal of General Systems
5 Networks
...and 282 more Serials
all top 5

Cited in 54 Fields

962 Ordinary differential equations (34-XX)
810 Biology and other natural sciences (92-XX)
717 Combinatorics (05-XX)
614 Systems theory; control (93-XX)
526 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
510 Dynamical systems and ergodic theory (37-XX)
393 Operations research, mathematical programming (90-XX)
373 Computer science (68-XX)
211 Statistical mechanics, structure of matter (82-XX)
200 Probability theory and stochastic processes (60-XX)
161 Information and communication theory, circuits (94-XX)
131 Statistics (62-XX)
104 Partial differential equations (35-XX)
84 Numerical analysis (65-XX)
65 Mechanics of particles and systems (70-XX)
53 Fluid mechanics (76-XX)
36 Difference and functional equations (39-XX)
34 Measure and integration (28-XX)
29 Linear and multilinear algebra; matrix theory (15-XX)
18 Quantum theory (81-XX)
16 Mechanics of deformable solids (74-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
14 Integral equations (45-XX)
12 General and overarching topics; collections (00-XX)
12 Real functions (26-XX)
12 Optics, electromagnetic theory (78-XX)
11 Classical thermodynamics, heat transfer (80-XX)
9 Operator theory (47-XX)
8 Global analysis, analysis on manifolds (58-XX)
6 Differential geometry (53-XX)
5 Relativity and gravitational theory (83-XX)
5 Astronomy and astrophysics (85-XX)
5 Geophysics (86-XX)
3 Number theory (11-XX)
3 Convex and discrete geometry (52-XX)
3 General topology (54-XX)
2 Commutative algebra (13-XX)
2 Algebraic geometry (14-XX)
2 Group theory and generalizations (20-XX)
2 Functions of a complex variable (30-XX)
2 Functional analysis (46-XX)
2 Mathematics education (97-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Category theory; homological algebra (18-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)

Citations by Year

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