×
Author ID: scott.alwyn-c Recent zbMATH articles by "Scott, Alwyn C."
Published as: Scott, A. C.; Scott, Alwyn C.; Scott, Alwyn
Documents Indexed: 43 Publications since 1971, including 4 Books
5 Contributions as Editor · 1 Further Contribution
Biographic References: 1 Publication
Co-Authors: 23 Co-Authors with 27 Joint Publications
553 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 508 times in 439 Documents Cited by Year
Encyclopedia of nonlinear science. Zbl 1177.00019
Scott, Alwyn
75
2005
The discrete self-trapping equation. Zbl 0583.34026
Eilbeck, J. C.; Lomdahl, P. S.; Scott, A. C.
74
1985
Nonlinear science. Emergence and dynamics of coherent structures. 2nd ed. Zbl 1072.35003
Scott, Alwyn
67
2003
Nonlinear science. Emergence and dynamics of coherent structures. With contributions from Mads Peter Sørensen and Peter Leth Christiansen. Zbl 0927.35002
Scott, Alwyn
58
1999
Neuroscience. A mathematical primer. Zbl 1018.92003
Scott, Alwyn
32
2002
Solitons in action. Proceedings of a Workshop, sponsored by the Mathematics Division, Army Research Office, held at Redstone Arsenal, October 26-27, 1977. Zbl 0494.76022
21
1978
The quantum discrete self-trapping equation in the Hartree approximation. Zbl 0792.49033
Wright, Ewan; Eilbeck, J. C.; Hays, M. H.; Miller, P. D.; Scott, A. C.
16
1993
A restricted Bäcklund transformation. Zbl 0268.35053
McLaughlin, David W.; Scott, Alwyn C.
14
1973
The vibrational structure of Davydov solitons. Zbl 1063.37583
Scott, Alwyn C.
13
1982
Nonlinear science at the dawn of the 21st century. Zbl 0934.00006
12
2000
The quantum theory of local modes in a coupled system of nonlinear oscillators. Zbl 0711.34047
Bernstein, L.; Eilbeck, J. C.; Scott, A. C.
12
1990
Ephaptic coupling of myelinated nerve fibers. Zbl 0961.92007
Binczak, S.; Eilbeck, J. C.; Scott, A. C.
12
2001
There’s more than one way to skin Schrödinger’s cat. Zbl 0760.58051
Enol’skij, V. Z.; Salerno, M.; Scott, A. C.; Eilbeck, J. C.
11
1992
Davydov’s soliton. Zbl 0644.92005
Scott, A. C.
11
1988
Alternate quantizations of the discrete self-trapping dimer. Zbl 1063.81605
Ènol’skiĭ, V. Z.; Salerno, M.; Kostov, N. A.; Scott, A. C.
10
1991
Quantum lattice solitons. Zbl 0826.35106
Scott, A. C.; Eilbeck, J. C.; Gilhøj, H.
10
1994
Davydov’s soliton revisited. Zbl 0736.92005
Scott, Alwyn C.
9
1991
On Davydov’s alpha-helix solitons. Zbl 1194.37175
Hyman, J. M.; McLaughlin, D. W.; Scott, A. C.
8
1981
A Toda lattice model for DNA: Thermally generated solitons. Zbl 0705.92008
Muto, V.; Scott, A. C.; Christiansen, P. L.
6
1990
Making a match: combining theory and evidence in policy-oriented macroeconomic modeling. Zbl 1418.62481
Kapetanios, G.; Pagan, A.; Scott, A.
6
2007
Chaos in the Beeler-Reuter system for the action potential of ventricular myocardial fibres. Zbl 0581.92007
Jensen, J. H.; Christiansen, P. L.; Scott, A. C.; Skovgaard, O.
4
1984
Neurodynamics: A critical survey. Zbl 0357.92003
Scott, Alwyn C.
4
1977
Pulse evolution on coupled nerve fibres. Zbl 0462.92006
Eilbeck, J. C.; Luzader, S. D.; Scott, A. C.
4
1981
Binding energies for discrete nonlinear Schrödinger equations. Zbl 1063.81548
Miller, P. D.; Scott, A. C.; Carr, J.; Eilbeck, J. C.
3
1991
A generalized discrete self-trapping equation. Zbl 1063.81556
Scott, Alwyn C.; Christiansen, Peter L.
3
1990
Effect of the series inductance of a nerve axon upon its conduction velocity. Zbl 0217.57603
Scott, A. C.
3
1971
Quantum theories for two discrete nonlinear Schrödinger equations. Zbl 0736.35111
Salerno, M.; Scott, A. C.
2
1991
Quantum solitons in the DNLS and Hubbard models. Zbl 0900.35362
Gilhøj, H.; Eilbeck, J. C.; Scott, A. C.
2
1993
A nonresonant discrete self-trapping system. Zbl 1063.81688
Scott, Alwyn C.
2
1990
Sine-Gordon breather dynamics. Special issue on solitons in physics. Zbl 1063.81555
Scott, Alwyn C.
2
1979
Coupled nonlinear oscillators. Proceedings of the Joint U. S. Army-Center for Nonlinear Studies Workshop, held in Los Alamos, New Mexico, 21-23 July, 1981. Zbl 0536.00012
2
1983
Flux interactions on stacked Josephson junctions. Zbl 1060.82528
Scott, A. C.; Petraglia, A.
1
1996
Anharmonic analysis of resonant microwave absorption in DNA. Zbl 1063.92500
Scott, Alwyn C.
1
1985
Solitons and bioenergetics. Zbl 0565.92008
Scott, A. C.
1
1983
Strength duration curves for threshold excitation of nerves. Zbl 0271.92003
Scott, Alwyn C.
1
1973
Information processing in dendritic trees. Zbl 0271.92005
Scott, Alwyn C.
1
1973
Biomolecular dynamics by computer analysis. Zbl 0639.92005
Eilbeck, J. C.; Lomdahl, P. S.; Scott, A. C.
1
1988
Making a match: combining theory and evidence in policy-oriented macroeconomic modeling. Zbl 1418.62481
Kapetanios, G.; Pagan, A.; Scott, A.
6
2007
Encyclopedia of nonlinear science. Zbl 1177.00019
Scott, Alwyn
75
2005
Nonlinear science. Emergence and dynamics of coherent structures. 2nd ed. Zbl 1072.35003
Scott, Alwyn
67
2003
Neuroscience. A mathematical primer. Zbl 1018.92003
Scott, Alwyn
32
2002
Ephaptic coupling of myelinated nerve fibers. Zbl 0961.92007
Binczak, S.; Eilbeck, J. C.; Scott, A. C.
12
2001
Nonlinear science at the dawn of the 21st century. Zbl 0934.00006
12
2000
Nonlinear science. Emergence and dynamics of coherent structures. With contributions from Mads Peter Sørensen and Peter Leth Christiansen. Zbl 0927.35002
Scott, Alwyn
58
1999
Flux interactions on stacked Josephson junctions. Zbl 1060.82528
Scott, A. C.; Petraglia, A.
1
1996
Quantum lattice solitons. Zbl 0826.35106
Scott, A. C.; Eilbeck, J. C.; Gilhøj, H.
10
1994
The quantum discrete self-trapping equation in the Hartree approximation. Zbl 0792.49033
Wright, Ewan; Eilbeck, J. C.; Hays, M. H.; Miller, P. D.; Scott, A. C.
16
1993
Quantum solitons in the DNLS and Hubbard models. Zbl 0900.35362
Gilhøj, H.; Eilbeck, J. C.; Scott, A. C.
2
1993
There’s more than one way to skin Schrödinger’s cat. Zbl 0760.58051
Enol’skij, V. Z.; Salerno, M.; Scott, A. C.; Eilbeck, J. C.
11
1992
Alternate quantizations of the discrete self-trapping dimer. Zbl 1063.81605
Ènol’skiĭ, V. Z.; Salerno, M.; Kostov, N. A.; Scott, A. C.
10
1991
Davydov’s soliton revisited. Zbl 0736.92005
Scott, Alwyn C.
9
1991
Binding energies for discrete nonlinear Schrödinger equations. Zbl 1063.81548
Miller, P. D.; Scott, A. C.; Carr, J.; Eilbeck, J. C.
3
1991
Quantum theories for two discrete nonlinear Schrödinger equations. Zbl 0736.35111
Salerno, M.; Scott, A. C.
2
1991
The quantum theory of local modes in a coupled system of nonlinear oscillators. Zbl 0711.34047
Bernstein, L.; Eilbeck, J. C.; Scott, A. C.
12
1990
A Toda lattice model for DNA: Thermally generated solitons. Zbl 0705.92008
Muto, V.; Scott, A. C.; Christiansen, P. L.
6
1990
A generalized discrete self-trapping equation. Zbl 1063.81556
Scott, Alwyn C.; Christiansen, Peter L.
3
1990
A nonresonant discrete self-trapping system. Zbl 1063.81688
Scott, Alwyn C.
2
1990
Davydov’s soliton. Zbl 0644.92005
Scott, A. C.
11
1988
Biomolecular dynamics by computer analysis. Zbl 0639.92005
Eilbeck, J. C.; Lomdahl, P. S.; Scott, A. C.
1
1988
The discrete self-trapping equation. Zbl 0583.34026
Eilbeck, J. C.; Lomdahl, P. S.; Scott, A. C.
74
1985
Anharmonic analysis of resonant microwave absorption in DNA. Zbl 1063.92500
Scott, Alwyn C.
1
1985
Chaos in the Beeler-Reuter system for the action potential of ventricular myocardial fibres. Zbl 0581.92007
Jensen, J. H.; Christiansen, P. L.; Scott, A. C.; Skovgaard, O.
4
1984
Coupled nonlinear oscillators. Proceedings of the Joint U. S. Army-Center for Nonlinear Studies Workshop, held in Los Alamos, New Mexico, 21-23 July, 1981. Zbl 0536.00012
2
1983
Solitons and bioenergetics. Zbl 0565.92008
Scott, A. C.
1
1983
The vibrational structure of Davydov solitons. Zbl 1063.37583
Scott, Alwyn C.
13
1982
On Davydov’s alpha-helix solitons. Zbl 1194.37175
Hyman, J. M.; McLaughlin, D. W.; Scott, A. C.
8
1981
Pulse evolution on coupled nerve fibres. Zbl 0462.92006
Eilbeck, J. C.; Luzader, S. D.; Scott, A. C.
4
1981
Sine-Gordon breather dynamics. Special issue on solitons in physics. Zbl 1063.81555
Scott, Alwyn C.
2
1979
Solitons in action. Proceedings of a Workshop, sponsored by the Mathematics Division, Army Research Office, held at Redstone Arsenal, October 26-27, 1977. Zbl 0494.76022
21
1978
Neurodynamics: A critical survey. Zbl 0357.92003
Scott, Alwyn C.
4
1977
A restricted Bäcklund transformation. Zbl 0268.35053
McLaughlin, David W.; Scott, Alwyn C.
14
1973
Strength duration curves for threshold excitation of nerves. Zbl 0271.92003
Scott, Alwyn C.
1
1973
Information processing in dendritic trees. Zbl 0271.92005
Scott, Alwyn C.
1
1973
Effect of the series inductance of a nerve axon upon its conduction velocity. Zbl 0217.57603
Scott, A. C.
3
1971
all top 5

Cited by 823 Authors

10 Tang, Bing
8 Scott, Alwyn C.
7 Eilbeck, John Chris
6 Malomed, Boris A.
6 Vitanov, Nikolay K.
5 Bilbault, Jean-Marie
5 De Angelis, Monica
5 Dimitrova, Zlatinka I.
5 Djoufack, Zacharie Isidore
5 Kengne, Emmanuel
5 Kofané, Timoléon Crépin
5 LeMesurier, Brenton J.
5 Li, Dejun
5 Manevich, Leonid Isaakovich
5 Tian, Bo
5 Yan, Zhenya
4 Belmonte-Beitia, Juan
4 Binczak, Stéphane
4 Caputo, Jean-Guy
4 Fradkov, Aleksandr L’vovich
4 Jacquir, Sabir
4 Kanna, Thambithurai
4 Livi, Roberto
4 Mohamadou, Alidou
4 Nguenang, Jean-Pierre
4 Pang, Xiaofeng
4 Sakkaravarthi, K.
4 Tabi, Conrad Bertrand
4 Zhang, Guoqiang
3 Andrianov, Igor Vasil’evich
3 Andrievskii, B. R.
3 Angulo Pava, Jaime
3 Carollo, Angelo C. M.
3 Christiansen, Peter Leth
3 De Santis, Duilio
3 Doikou, Anastasia
3 Ekomasov, Evgeniĭ Grigor’evich
3 Fečkan, Michal
3 Fiore, Gaetano
3 Georgiev, Danko D.
3 Glazebrook, James F.
3 Guarcello, Claudio
3 Gumerov, Azamat Maratovich
3 He, Jingsong
3 Inc, Mustafa
3 Iubini, Stefano
3 Jhangeer, Adil
3 Knippel, Arnaud
3 Konotop, Vladimir V.
3 Kudryashov, Nikolaĭ Alekseevich
3 Lakshmanan, Muthusamy
3 Lepri, Stefano
3 Links, Jon Robert
3 Marcinkevicius, Romas
3 Molina, Mario I.
3 Navickas, Zenonas
3 Nekorkin, Vladimir I.
3 Panayotaros, Panayotis
3 Peets, Tanel
3 Pérez-García, Víctor Manuel
3 Plaza, Ramón G.
3 Porubov, Alexey V.
3 Quintero, Niurka R.
3 Ragulskis, Minvydas
3 Skrypnyk, Taras Volodymyrovych
3 Spagnolo, Bernardo
3 Sulaiman, Tukur Abdulkadir
3 Tala-Tebué, Éric
3 Tamm, Kert
3 Tang, Yi
3 Telksnys, Tadas
3 Torres, Pedro José
3 Valenti, Davide
3 Yu, Jiafeng
3 Zhang, Huaiwu
2 Ablowitz, Mark Jay
2 Aceves, Alejandro B.
2 Aèro, Èron Lyuttovich
2 Asjad, Muhammad Imran
2 Bellorín, A.
2 Belyaeva, T. L.
2 Bessaih, Hakima
2 Bilal, Muhammad
2 Bondarenkov, R. S.
2 Carpio, Ana
2 Cavalcanti, Marcelo Moreira
2 Chetverikov, Aleksandr Petrovich
2 Chien, Cheng-Sheng
2 Corrêa, Wellington José
2 Dehghan Takht Fooladi, Mehdi
2 Dmitriev, Sergey V.
2 Ebeling, Werner
2 Engelbrecht, Jüri
2 Enolskiĭ, Viktor Zelikovich
2 Faridi, Waqas Ali
2 Floría, Luis Mario
2 Fotsa-Ngaffo, Fernande
2 Garrido-Atienza, María José
2 Gendelman, Oleg V.
2 Gleiser, Marcelo
...and 723 more Authors
all top 5

Cited in 123 Serials

39 Physica D
22 Communications in Nonlinear Science and Numerical Simulation
20 Chaos, Solitons and Fractals
20 Chaos
17 Physics Letters. A
16 Journal of Mathematical Physics
13 Applied Mathematics and Computation
12 International Journal of Modern Physics B
12 Journal of Physics A: Mathematical and Theoretical
11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
10 International Journal of Theoretical Physics
10 Nonlinear Dynamics
9 Wave Motion
7 Theoretical and Mathematical Physics
6 Journal of Nonlinear Science
6 Journal of Statistical Mechanics: Theory and Experiment
5 Physica A
5 Acta Applicandae Mathematicae
5 The European Physical Journal B. Condensed Matter and Complex Systems
4 Mathematical Biosciences
4 Journal of Computational and Applied Mathematics
4 Studies in Applied Mathematics
4 Russian Journal of Nonlinear Dynamics
3 Modern Physics Letters B
3 Applicable Analysis
3 Biological Cybernetics
3 Journal of Computational Physics
3 Journal of Mathematical Biology
3 Letters in Mathematical Physics
3 Nonlinearity
3 Physics Reports
3 Journal of Differential Equations
3 Journal of Mathematical Psychology
3 Mathematics and Computers in Simulation
3 Meccanica
3 Quarterly of Applied Mathematics
3 Applied Numerical Mathematics
3 International Journal of Computer Mathematics
3 Abstract and Applied Analysis
3 Discrete and Continuous Dynamical Systems. Series B
3 Advances in Difference Equations
3 Communications in Theoretical Physics
3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Archive for Rational Mechanics and Analysis
2 Computers & Mathematics with Applications
2 Communications in Mathematical Physics
2 Journal of Mathematical Analysis and Applications
2 Mathematical Methods in the Applied Sciences
2 Bulletin of Mathematical Biology
2 Journal of Theoretical and Applied Mechanics (Sofia)
2 Numerical Methods for Partial Differential Equations
2 Applied Mathematics Letters
2 Mathematical and Computer Modelling
2 Applied Mathematical Modelling
2 Communications in Partial Differential Equations
2 Journal of Mathematical Sciences (New York)
2 Fractals
2 Journal of Computational Neuroscience
2 Mathematical Problems in Engineering
2 Discrete Dynamics in Nature and Society
2 Russian Physics Journal
2 Lobachevskii Journal of Mathematics
2 Journal of Modern Optics
2 Proceedings of the Estonian Academy of Sciences
2 International Journal of Applied and Computational Mathematics
2 Applied Mathematics and Nonlinear Sciences
1 International Journal of Modern Physics A
1 Acta Mechanica
1 Communications on Pure and Applied Mathematics
1 Discrete Applied Mathematics
1 General Relativity and Gravitation
1 Physics of Fluids
1 Physics Letters. B
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematics of Computation
1 Reviews in Mathematical Physics
1 The Annals of Statistics
1 Applied Mathematics and Optimization
1 Automatica
1 Demonstratio Mathematica
1 Gaṇita
1 Mathematische Zeitschrift
1 Proceedings of the American Mathematical Society
1 Synthese
1 Chinese Annals of Mathematics. Series B
1 Stochastic Analysis and Applications
1 Neural Networks
1 Neural Computation
1 Computational Mathematics and Mathematical Physics
1 Annals of Physics
1 SIAM Journal on Mathematical Analysis
1 Journal of Dynamics and Differential Equations
1 Journal of Computer and Systems Sciences International
1 SIAM Journal on Scientific Computing
1 Russian Journal of Mathematical Physics
1 NoDEA. Nonlinear Differential Equations and Applications
1 Journal of Difference Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 Journal of Applied Mechanics and Technical Physics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
...and 23 more Serials
all top 5

Cited in 41 Fields

246 Partial differential equations (35-XX)
105 Dynamical systems and ergodic theory (37-XX)
79 Statistical mechanics, structure of matter (82-XX)
78 Quantum theory (81-XX)
68 Biology and other natural sciences (92-XX)
51 Ordinary differential equations (34-XX)
43 Numerical analysis (65-XX)
38 Optics, electromagnetic theory (78-XX)
25 Difference and functional equations (39-XX)
23 Fluid mechanics (76-XX)
21 Mechanics of particles and systems (70-XX)
14 Mechanics of deformable solids (74-XX)
11 Systems theory; control (93-XX)
9 Information and communication theory, circuits (94-XX)
8 Operator theory (47-XX)
8 Global analysis, analysis on manifolds (58-XX)
8 Probability theory and stochastic processes (60-XX)
4 Real functions (26-XX)
4 Special functions (33-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Nonassociative rings and algebras (17-XX)
3 Differential geometry (53-XX)
3 Statistics (62-XX)
3 Computer science (68-XX)
3 Geophysics (86-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Associative rings and algebras (16-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Integral equations (45-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Relativity and gravitational theory (83-XX)
1 Topological groups, Lie groups (22-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Functional analysis (46-XX)
1 Manifolds and cell complexes (57-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year