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Cai, David

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Author ID: cai.david Recent zbMATH articles by "Cai, David"
Published as: Cai, D.; Cai, David
Documents Indexed: 29 Publications since 1993

Publications by Year

Citations contained in zbMATH

19 Publications have been cited 138 times in 111 Documents Cited by Year
Dispersive wave turbulence in one dimension. Zbl 1049.76035
Cai, David; Majda, Andrew J.; McLaughlin, David W.; Tabak, Esteban G.
22
2001
Kinetic theory for neuronal network dynamics. Zbl 1107.82037
Cai, David; Tao, Louis; Rangan, Aaditya V.; McLaughlin, David W.
19
2006
Dynamics of current-based, Poisson driven, integrate-and-fire neuronal networks. Zbl 1197.82084
Newhall, Katherine A.; Kovacic, Gregor; Kramer, Peter R.; Zhou, Douglas; Rangan, Aaditya V.; Cai, David
15
2010
A mathematical framework for quantifying predictability through relative entropy. Zbl 1084.94010
Majda, Andrew; Kleeman, Richard; Cai, David
15
2002
The nonlinear Schrödinger equation as both a PDE and a dynamical system. Zbl 1004.35111
Cai, David; McLaughlin, David W.; McLaughlin, Kenneth T. R.
11
2002
Spectral bifurcations in dispersive wave turbulence. Zbl 0985.76046
Cai, David; Majda, Andrew J.; McLaughlin, David; Tabak, Esteban G.
11
1999
Numerical methods for solving moment equations in kinetic theory of neuronal network dynamics. Zbl 1216.92021
Rangan, Aaditya V.; Cai, David; Tao, Louis
6
2007
Spatiotemporal chaos in spatially extended systems. Zbl 0988.37093
Cai, David; McLaughlin, David W.; Shatah, Jalal
6
2001
Chaotic and turbulent behavior of unstable one-dimensional nonlinear dispersive waves. Zbl 1045.37503
Cai, David; McLaughlin, David W.
6
2000
Spatiotemporal chaos and effective stochastic dynamics for a near-integrable nonlinear system. Zbl 0983.37098
Cai, David; McLaughlin, David W.; Shatah, Jalal
6
1999
A coarse-grained framework for spiking neuronal networks: between homogeneity and synchrony. Zbl 1382.92104
Zhang, Jiwei; Zhou, Douglas; Cai, David; Rangan, Aaditya V.
4
2014
An optimization principle for initiation and adaptation of biological transport networks. Zbl 1429.92063
Hu, Dan; Cai, David
3
2019
Generation of dispersion in nondispersive nonlinear waves in thermal equilibrium. Zbl 1292.76016
Lee, Wonjung; Kovačič, Gregor; Cai, David
3
2013
Quantifying predictability in a simple model with complex features. Zbl 1057.62109
Cai, David; Haven, Kyle; Majda, Andrew J.
3
2004
Modulation-resonance mechanism for surface waves in a two-layer fluid system. Zbl 1419.76120
Jiang, Shixiao W.; Kovačič, Gregor; Zhou, Douglas; Cai, David
2
2019
Dynamics of the exponential integrate-and-fire model with slow currents and adaptation. Zbl 1382.92038
Barranca, Victor J.; Johnson, Daniel C.; Moyher, Jennifer L.; Sauppe, Joshua P.; Shkarayev, Maxim S.; Kovačič, Gregor; Cai, David
2
2014
Knowledge discovery in distributed databases using evidence theory. Zbl 0957.68039
Cai, D.; McTear, M. F.; McClean, S. I.
2
2000
A dynamical state underlying the second order maximum entropy principle in neuronal networks. Zbl 1366.62021
Xu, Zhi-Qin John; Bi, Guoqiang; Zhou, Douglas; Cai, David
1
2017
An algorithm for modelling key terms. Zbl 1126.68379
Cai, D.; van Rijsbergen, C. J.
1
2008
An optimization principle for initiation and adaptation of biological transport networks. Zbl 1429.92063
Hu, Dan; Cai, David
3
2019
Modulation-resonance mechanism for surface waves in a two-layer fluid system. Zbl 1419.76120
Jiang, Shixiao W.; Kovačič, Gregor; Zhou, Douglas; Cai, David
2
2019
A dynamical state underlying the second order maximum entropy principle in neuronal networks. Zbl 1366.62021
Xu, Zhi-Qin John; Bi, Guoqiang; Zhou, Douglas; Cai, David
1
2017
A coarse-grained framework for spiking neuronal networks: between homogeneity and synchrony. Zbl 1382.92104
Zhang, Jiwei; Zhou, Douglas; Cai, David; Rangan, Aaditya V.
4
2014
Dynamics of the exponential integrate-and-fire model with slow currents and adaptation. Zbl 1382.92038
Barranca, Victor J.; Johnson, Daniel C.; Moyher, Jennifer L.; Sauppe, Joshua P.; Shkarayev, Maxim S.; Kovačič, Gregor; Cai, David
2
2014
Generation of dispersion in nondispersive nonlinear waves in thermal equilibrium. Zbl 1292.76016
Lee, Wonjung; Kovačič, Gregor; Cai, David
3
2013
Dynamics of current-based, Poisson driven, integrate-and-fire neuronal networks. Zbl 1197.82084
Newhall, Katherine A.; Kovacic, Gregor; Kramer, Peter R.; Zhou, Douglas; Rangan, Aaditya V.; Cai, David
15
2010
An algorithm for modelling key terms. Zbl 1126.68379
Cai, D.; van Rijsbergen, C. J.
1
2008
Numerical methods for solving moment equations in kinetic theory of neuronal network dynamics. Zbl 1216.92021
Rangan, Aaditya V.; Cai, David; Tao, Louis
6
2007
Kinetic theory for neuronal network dynamics. Zbl 1107.82037
Cai, David; Tao, Louis; Rangan, Aaditya V.; McLaughlin, David W.
19
2006
Quantifying predictability in a simple model with complex features. Zbl 1057.62109
Cai, David; Haven, Kyle; Majda, Andrew J.
3
2004
A mathematical framework for quantifying predictability through relative entropy. Zbl 1084.94010
Majda, Andrew; Kleeman, Richard; Cai, David
15
2002
The nonlinear Schrödinger equation as both a PDE and a dynamical system. Zbl 1004.35111
Cai, David; McLaughlin, David W.; McLaughlin, Kenneth T. R.
11
2002
Dispersive wave turbulence in one dimension. Zbl 1049.76035
Cai, David; Majda, Andrew J.; McLaughlin, David W.; Tabak, Esteban G.
22
2001
Spatiotemporal chaos in spatially extended systems. Zbl 0988.37093
Cai, David; McLaughlin, David W.; Shatah, Jalal
6
2001
Chaotic and turbulent behavior of unstable one-dimensional nonlinear dispersive waves. Zbl 1045.37503
Cai, David; McLaughlin, David W.
6
2000
Knowledge discovery in distributed databases using evidence theory. Zbl 0957.68039
Cai, D.; McTear, M. F.; McClean, S. I.
2
2000
Spectral bifurcations in dispersive wave turbulence. Zbl 0985.76046
Cai, David; Majda, Andrew J.; McLaughlin, David; Tabak, Esteban G.
11
1999
Spatiotemporal chaos and effective stochastic dynamics for a near-integrable nonlinear system. Zbl 0983.37098
Cai, David; McLaughlin, David W.; Shatah, Jalal
6
1999
all top 5

Cited by 192 Authors

13 Majda, Andrew J.
7 Cai, David
6 Dumont, Grégory
6 Rangan, Aaditya V.
5 Henry, Jacques
4 Cáceres, María-José
4 Tao, Louis
4 Zhang, Jiwei
4 Zhou, Douglas
3 Abramov, Rafail V.
3 Branicki, Michał
3 Lenzmann, Enno
3 McLaughlin, David W.
3 Qi, Di
3 Tarniceriu, Carmen Oana
3 Young, Lai-Sang
2 Behl, Ramandeep
2 Carrillo de la Plata, José Antonio
2 Deville, R. E. Lee
2 Dinh, Van Duong
2 Fotopoulos, Georgios
2 Grooms, Ian G.
2 Karachalios, Nikos I.
2 Koukouloyannis, Vassilis
2 Lee, Wonjung
2 Lee, Yoonsang
2 Li, Yao
2 Ly, Cheng
2 Maroju, Prashanth
2 Naumkin, Pavel Ivanovich
2 Parshad, Rana D.
2 Peskin, Charles S.
2 Quansah, Emmanuel
2 Raphael, Pierre
2 Schneider, Ricarda
2 Schober, Constance M.
2 Simpson, Gideon
2 Tabak, Esteban G.
2 Touboul, Jonathan David
2 Vetas, K.
2 Wu, Ranchao
1 Alonso-Mallo, Isaías
1 Barranca, Victor J.
1 Basheer, Aladeen
1 Bauer, Peter H.
1 Beauregard, Matthew A.
1 Bhowmick, Suman
1 Biven, Laura J.
1 Black, Kelly
1 Blyuss, Konstantin B.
1 Boulenger, Thomas
1 Cabana, Tanguy
1 Calini, Annalisa M.
1 Chariker, Logan
1 Chen, Nan
1 Cheng, Hong
1 Cho, Yonggeun
1 Choi, Wooyoung
1 Connaughton, Colm P.
1 Cortés, Enrique
1 Cousins, Will
1 Coutts, Emma J.
1 Crodelle, Jennifer A.
1 Darwich, Mohamad
1 Derks, Gianne
1 Dewasurendra, Duminda
1 di Volo, Matteo
1 Dias, Frédéric
1 Ding, Ze-Jun
1 Duran, Adolfo
1 Eisner, Adam
1 Espinosa, Aurea
1 Faou, Erwan
1 Feng, Cheng
1 Forlano, Justin
1 Frantzeskakis, Dimitri J.
1 Fujioka, Jorge
1 Gabriel, Pierre
1 Galiev, Sh. U.
1 Galiyev, T. Sh.
1 Galpin, Vashti
1 Martínez Gamba, Irene
1 Gao, Jianbo
1 Gerard, Patrick
1 Germain, Pierre
1 Giannakis, Dimitrios
1 González, María del Mar
1 Gosse, Laurent
1 Gualdani, Maria Pia
1 Guyenne, Philippe
1 Hani, Zaher
1 Hao, Xuanting
1 Haven, Kyle
1 Hillston, Jane
1 Himmelsbach, Dominik
1 Hong, Qi
1 Horenko, Illia
1 Hou, Shehong
1 Hu, Jing
1 Hussein, Mahmoud I.
...and 92 more Authors
all top 5

Cited in 61 Serials

10 Journal of Computational Physics
9 Physica D
7 Journal of Computational Neuroscience
4 Journal of Mathematical Biology
4 Journal of Nonlinear Science
4 Chaos
3 Journal of Fluid Mechanics
3 Bulletin of Mathematical Biology
3 Communications in Nonlinear Science and Numerical Simulation
3 Journal of Theoretical Biology
2 Communications on Pure and Applied Mathematics
2 Journal of Mathematical Physics
2 Physics Letters. A
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Mathematics and Computers in Simulation
2 Chinese Annals of Mathematics. Series B
2 Neural Computation
2 Communications in Partial Differential Equations
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 European Journal of Mechanics. B. Fluids
1 Advances in Applied Probability
1 Archive for Rational Mechanics and Analysis
1 Communications in Mathematical Physics
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Statistical Physics
1 Mathematical Biosciences
1 Nonlinearity
1 Physica A
1 Chaos, Solitons and Fractals
1 Applied Mathematics and Computation
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Results in Mathematics
1 Studies in Applied Mathematics
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 International Journal of Approximate Reasoning
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 Mathematical and Computer Modelling
1 Journal of Scientific Computing
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Applied Mathematical Modelling
1 European Journal of Operational Research
1 Proceedings of the National Academy of Sciences of the United States of America
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 ACM Transactions on Modeling and Computer Simulation
1 Regular and Chaotic Dynamics
1 Nonlinear Analysis. Real World Applications
1 Dynamical Systems
1 Entropy
1 Communications on Pure and Applied Analysis
1 Multiscale Modeling & Simulation
1 International Journal of Computational Methods
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 The Journal of Mathematical Neuroscience
1 Annals of PDE
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year