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Scott, Alwyn C.

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Author ID: scott.alwyn-c Recent zbMATH articles by "Scott, Alwyn C."
Published as: Scott, A.; Scott, A. C.; Scott, Alwyn; Scott, Alwyn C.
Documents Indexed: 48 Publications since 1971, including 9 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH

38 Publications have been cited 403 times in 352 Documents Cited by Year
Nonlinear science. Emergence and dynamics of coherent structures. With contributions from Mads Peter Sørensen and Peter Leth Christiansen. Zbl 0927.35002
Scott, Alwyn
71
1999
The discrete self-trapping equation. Zbl 0583.34026
Eilbeck, J. C.; Lomdahl, P. S.; Scott, A. C.
60
1985
Nonlinear science. Emergence and dynamics of coherent structures. 2nd ed. Zbl 1072.35003
Scott, Alwyn
40
2003
Encyclopedia of nonlinear science. Zbl 1177.00019
Scott, Alwyn
34
2005
Neuroscience. A mathematical primer. Zbl 1018.92003
Scott, Alwyn
30
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
Lonngren, Karl (ed.); Scott, Alwyn (ed.)
22
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.
13
1993
A restricted Bäcklund transformation. Zbl 0268.35053
McLaughlin, David W.; Scott, Alwyn C.
13
1973
The quantum theory of local modes in a coupled system of nonlinear oscillators. Zbl 0711.34047
Bernstein, L.; Eilbeck, J. C.; Scott, A. C.
11
1990
Nonlinear science at the dawn of the 21st century. Zbl 0934.00006
Christiansen, P. L. (ed.); Sørensen, M. P. (ed.); Scott, A. C. (ed.)
10
2000
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.
10
1992
Davydov’s soliton. Zbl 0644.92005
Scott, A. C.
9
1988
Ephaptic coupling of myelinated nerve fibers. Zbl 0961.92007
Binczak, S.; Eilbeck, J. C.; Scott, A. C.
8
2001
Alternate quantizations of the discrete self-trapping dimer. Zbl 1063.81605
Ènol’skiĭ, V. Z.; Salerno, M.; Kostov, N. A.; Scott, A. C.
8
1991
The vibrational structure of Davydov solitons. Zbl 1063.37583
Scott, Alwyn C.
8
1982
Quantum lattice solitons. Zbl 0826.35106
Scott, A. C.; Eilbeck, J. C.; Gilhøj, H.
6
1994
Making a match: combining theory and evidence in policy-oriented macroeconomic modeling. Zbl 1418.62481
Kapetanios, G.; Pagan, A.; Scott, A.
4
2007
Davydov’s soliton revisited. Zbl 0736.92005
Scott, Alwyn C.
4
1991
A Toda lattice model for DNA: Thermally generated solitons. Zbl 0705.92008
Muto, V.; Scott, A. C.; Christiansen, P. L.
4
1990
Neurodynamics: A critical survey. Zbl 0357.92003
Scott, Alwyn C.
4
1977
Binding energies for discrete nonlinear Schrödinger equations. Zbl 1063.81548
Miller, P. D.; Scott, A. C.; Carr, J.; Eilbeck, J. C.
3
1991
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.
3
1984
On Davydov’s alpha-helix solitons. Zbl 1194.37175
Hyman, J. M.; McLaughlin, D. W.; Scott, A. C.
3
1981
Pulse evolution on coupled nerve fibres. Zbl 0462.92006
Eilbeck, J. C.; Luzader, S. D.; Scott, A. C.
3
1981
Effect of the series inductance of a nerve axon upon its conduction velocity. Zbl 0217.57603
Scott, A. C.
3
1971
Quantizing a rotating wave. Zbl 1020.81655
Christiansen, Peter L.; Hays, Mark H.; Jørgensen, Michael F.; Scott, Alwyn C.
2
1995
Quantum theories for two discrete nonlinear Schrödinger equations. Zbl 0736.35111
Salerno, M.; Scott, A. C.
2
1991
A nonresonant discrete self-trapping system. Zbl 1063.81688
Scott, Alwyn C.
2
1990
A generalized discrete self-trapping equation. Zbl 1063.81556
Scott, Alwyn C.; Christiansen, Peter L.
2
1990
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
Chandra, J. (ed.); Scott, A. C. (ed.)
2
1983
Soliton perturbation theory. Zbl 0393.35059
McLaughlin, D. W.; Scott, A. C.
2
1978
Flux interactions on stacked Josephson junctions. Zbl 1060.82528
Scott, A. C.; Petraglia, A.
1
1996
Quantum solitons in the DNLS and Hubbard models. Zbl 0900.35362
Gilhøj, H.; Eilbeck, J. C.; Scott, A. C.
1
1993
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
Sine-Gordon breather dynamics. Special issue on solitons in physics. Zbl 1063.81555
Scott, Alwyn C.
1
1979
Information processing in dendritic trees. Zbl 0271.92005
Scott, Alwyn C.
1
1973
Strength duration curves for threshold excitation of nerves. Zbl 0271.92003
Scott, Alwyn C.
1
1973
Making a match: combining theory and evidence in policy-oriented macroeconomic modeling. Zbl 1418.62481
Kapetanios, G.; Pagan, A.; Scott, A.
4
2007
Encyclopedia of nonlinear science. Zbl 1177.00019
Scott, Alwyn
34
2005
Nonlinear science. Emergence and dynamics of coherent structures. 2nd ed. Zbl 1072.35003
Scott, Alwyn
40
2003
Neuroscience. A mathematical primer. Zbl 1018.92003
Scott, Alwyn
30
2002
Ephaptic coupling of myelinated nerve fibers. Zbl 0961.92007
Binczak, S.; Eilbeck, J. C.; Scott, A. C.
8
2001
Nonlinear science at the dawn of the 21st century. Zbl 0934.00006
Christiansen, P. L. (ed.); Sørensen, M. P. (ed.); Scott, A. C. (ed.)
10
2000
Nonlinear science. Emergence and dynamics of coherent structures. With contributions from Mads Peter Sørensen and Peter Leth Christiansen. Zbl 0927.35002
Scott, Alwyn
71
1999
Flux interactions on stacked Josephson junctions. Zbl 1060.82528
Scott, A. C.; Petraglia, A.
1
1996
Quantizing a rotating wave. Zbl 1020.81655
Christiansen, Peter L.; Hays, Mark H.; Jørgensen, Michael F.; Scott, Alwyn C.
2
1995
Quantum lattice solitons. Zbl 0826.35106
Scott, A. C.; Eilbeck, J. C.; Gilhøj, H.
6
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.
13
1993
Quantum solitons in the DNLS and Hubbard models. Zbl 0900.35362
Gilhøj, H.; Eilbeck, J. C.; Scott, A. C.
1
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.
10
1992
Alternate quantizations of the discrete self-trapping dimer. Zbl 1063.81605
Ènol’skiĭ, V. Z.; Salerno, M.; Kostov, N. A.; Scott, A. C.
8
1991
Davydov’s soliton revisited. Zbl 0736.92005
Scott, Alwyn C.
4
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.
11
1990
A Toda lattice model for DNA: Thermally generated solitons. Zbl 0705.92008
Muto, V.; Scott, A. C.; Christiansen, P. L.
4
1990
A nonresonant discrete self-trapping system. Zbl 1063.81688
Scott, Alwyn C.
2
1990
A generalized discrete self-trapping equation. Zbl 1063.81556
Scott, Alwyn C.; Christiansen, Peter L.
2
1990
Davydov’s soliton. Zbl 0644.92005
Scott, A. C.
9
1988
The discrete self-trapping equation. Zbl 0583.34026
Eilbeck, J. C.; Lomdahl, P. S.; Scott, A. C.
60
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.
3
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
Chandra, J. (ed.); Scott, A. C. (ed.)
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.
8
1982
On Davydov’s alpha-helix solitons. Zbl 1194.37175
Hyman, J. M.; McLaughlin, D. W.; Scott, A. C.
3
1981
Pulse evolution on coupled nerve fibres. Zbl 0462.92006
Eilbeck, J. C.; Luzader, S. D.; Scott, A. C.
3
1981
Sine-Gordon breather dynamics. Special issue on solitons in physics. Zbl 1063.81555
Scott, Alwyn C.
1
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
Lonngren, Karl (ed.); Scott, Alwyn (ed.)
22
1978
Soliton perturbation theory. Zbl 0393.35059
McLaughlin, D. W.; Scott, A. C.
2
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.
13
1973
Information processing in dendritic trees. Zbl 0271.92005
Scott, Alwyn C.
1
1973
Strength duration curves for threshold excitation of nerves. Zbl 0271.92003
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 634 Authors

10 Vitanov, Nikolay K.
8 Dimitrova, Zlatinka I.
8 Scott, Alwyn C.
8 Tang, Bing
7 Bilbault, Jean-Marie
7 Eilbeck, John Chris
6 Binczak, Stéphane
5 Belmonte-Beitia, Juan
5 Christiansen, Peter Leth
5 De Angelis, Monica
5 LeMesurier, Brenton J.
5 Manevich, Leonid Isaakovich
5 Nekorkin, Vladimir I.
4 Fiore, Gaetano
4 Floría, Luis Mario
4 Jacquir, Sabir
4 Li, Dejun
4 Nguenang, Jean-Pierre
4 Pang, Xiaofeng
4 Tian, Bo
3 Bellorín, A.
3 Caputo, Jean-Guy
3 Djoufack, Z. I.
3 Flach, Sergej
3 Gómez-Gardeñes, Jesús
3 González, Jorge A.
3 Goodman, Roy H.
3 Gottwald, Georg A.
3 Guerrero, Laura Elena Morales
3 Hennig, Dirk
3 James, Guillaume
3 Jørgensen, Michael F.
3 Kazantsev, Victor B.
3 Kevrekidis, Panayotis G.
3 Lakshmanan, Muthusamy
3 Mohamadou, Alidou
3 Panayotaros, Panayotis
3 Pérez-García, Víctor Manuel
3 Saxena, Avadh Behari
3 Skrypnyk, Taras Volodymyrovych
3 Tala-Tebué, Éric
3 Tang, Yi
3 Tanoğlu, Gamze B.
3 Trombettoni, Andrea
3 Yu, Jiafeng
3 Zhang, Huaiwu
2 Ablowitz, Mark Jay
2 Aceves, Alejandro B.
2 Aèro, Èron Lyuttovich
2 Akgül, Ali
2 Anderson, Robert Leonard
2 Andrianov, Igor V.
2 Bilal, Muhammad
2 Bishop, Alan Reginald
2 Bratsos, Athanassios G.
2 Bulygin, A. N.
2 Burioni, Raffaella
2 Calvo, Gabriel F.
2 Carpio, Ana
2 Cassi, Davide
2 Chien, Cheng-Sheng
2 Comte, J. C.
2 Dehghan Takht Fooladi, Mehdi
2 Dmitrichev, A. S.
2 Ekomasov, Evgenii G.
2 Ellinas, Demosthenes
2 Enolskiĭ, Viktor Zelikovich
2 Gumerov, Azamat M.
2 Ichinose, Shin-ichi
2 Jenkinson, Michael J.
2 Johansson, Magnus M.
2 Kanna, Thambithurai
2 Kantz, Holger
2 Khames, Imene
2 Knippel, Arnaud
2 Kofané, Timoléon Crépin
2 Konotop, Vladimir V.
2 Kudryavtsev, Roman V.
2 Kuznetsov, Vadim Borisovich
2 Links, Jon Robert
2 Lomdahl, Peter S.
2 Lord, Gabriel James
2 Luo, Yuhui
2 Malomed, Boris A.
2 Marcinkevicius, Romas
2 Marín, José Luis
2 Marquié, Patrick
2 Molina, Mario I.
2 Muto, Virginia
2 Navickas, Zenonas
2 Noble, Pascal
2 Omel’yanov, Georgii A.
2 Pavlov, Yuri V.
2 Peets, Tanel
2 Ragulskis, Minvydas
2 Renno, Pasquale
2 Safin, S. S.
2 Sakkaravarthi, K.
2 Salas, Alvaro H.
2 Salerno, Mario
...and 534 more Authors
all top 5

Cited in 99 Serials

54 Physica D
17 Physics Letters. A
17 Chaos
16 Chaos, Solitons and Fractals
15 Journal of Mathematical Physics
15 Applied Mathematics and Computation
13 Communications in Nonlinear Science and Numerical Simulation
11 International Journal of Modern Physics B
11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
10 International Journal of Theoretical Physics
8 Nonlinear Dynamics
7 Wave Motion
6 Theoretical and Mathematical Physics
5 Journal of Computational and Applied Mathematics
5 Acta Applicandae Mathematicae
4 Journal of Computational Physics
4 Mathematical Biosciences
4 Studies in Applied Mathematics
4 Journal of Nonlinear Science
3 Modern Physics Letters B
3 Letters in Mathematical Physics
3 Journal of Mathematical Psychology
3 Mathematics and Computers in Simulation
3 Meccanica
3 Discrete and Continuous Dynamical Systems. Series B
3 Journal of Statistical Mechanics: Theory and Experiment
3 Journal of Physics A: Mathematical and Theoretical
3 Nelineĭnaya Dinamika
3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Applicable Analysis
2 Biological Cybernetics
2 Computers & Mathematics with Applications
2 Communications in Mathematical Physics
2 Journal of Mathematical Biology
2 Mathematical Methods in the Applied Sciences
2 Bulletin of Mathematical Biology
2 Journal of Differential Equations
2 Journal of Econometrics
2 Quarterly of Applied Mathematics
2 Applied Numerical Mathematics
2 Numerical Methods for Partial Differential Equations
2 Mathematical and Computer Modelling
2 Annals of Physics
2 International Journal of Computer Mathematics
2 Journal of Computational Neuroscience
2 Mathematical Problems in Engineering
2 Abstract and Applied Analysis
2 Discrete Dynamics in Nature and Society
2 Russian Physics Journal
2 Journal of Modern Optics
2 Communications in Theoretical Physics
1 International Journal of Modern Physics A
1 Acta Mechanica
1 Archive for Rational Mechanics and Analysis
1 Communications on Pure and Applied Mathematics
1 Discrete Applied Mathematics
1 General Relativity and Gravitation
1 Journal of Mathematical Analysis and Applications
1 Nonlinearity
1 Physica A
1 Physics of Fluids
1 Physics Letters. B
1 Physics Reports
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Journal of Theoretical and Applied Mechanics (Sofia)
1 The Annals of Statistics
1 Applied Mathematics and Optimization
1 Automatica
1 Proceedings of the American Mathematical Society
1 Synthese
1 Chinese Annals of Mathematics. Series B
1 Applied Mathematics Letters
1 Neural Networks
1 Neural Computation
1 Economics Letters
1 SIAM Journal on Mathematical Analysis
1 Journal of Dynamics and Differential Equations
1 Computational Economics
1 Russian Journal of Mathematical Physics
1 Journal of Mathematical Sciences (New York)
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 Journal of Biological Systems
1 Physical Review Letters
1 Czechoslovak Journal of Physics
1 Nonlinear Analysis. Modelling and Control
1 Stochastics and Dynamics
1 Communications on Pure and Applied Analysis
1 Advances in Difference Equations
1 Mathematical Biosciences and Engineering
1 The European Physical Journal B. Condensed Matter and Complex Systems
1 Journal of Fixed Point Theory and Applications
1 Proceedings of the Estonian Academy of Sciences
1 The Journal of Mathematical Neuroscience
1 ISRN Applied Mathematics
1 Communications in Mathematics and Statistics
1 International Journal of Applied and Computational Mathematics
all top 5

Cited in 36 Fields

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

Citations by Year