Edit Profile (opens in new tab) Scott, Alwyn C. Co-Author Distance Author ID: scott.alwyn-c Published as: Scott, A. C.; Scott, Alwyn C.; Scott, Alwyn more...less 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 all top 5 Co-Authors 19 single-authored 10 Eilbeck, John Chris 7 Christiansen, Peter Leth 4 McLaughlin, David W. 3 Salerno, Mario 2 Enolskiĭ, Viktor Zelikovich 2 Gilhøj, H. 2 Hays, Mark H. 2 Lomdahl, Peter S. 2 Lonngren, Karl E. 2 Miller, Peter D. 2 Miura, Robert M. 2 Muto, Virginia 2 Sørensen, Mads Peter 1 Batteh, G. S. 1 Batteh, Jad H. 1 Bernstein, Lisa J. 1 Binczak, Stéphane 1 Bishop, Alan Reginald 1 Connor, J. A. 1 Deem, G. S. 1 Hermann, Rudolf 1 Hyman, James M. 1 Ikezi, H. 1 Jørgensen, Michael F. 1 Kapetanios, George 1 Kostov, Nikolay A. 1 Lake, Bruce M. 1 Luzader, S. D. 1 Moses, Harry E. 1 Nikolakopoulou, Georgia 1 Pagan, A. 1 Parmentier, Robert D. 1 Petraglia, Antonio 1 Pinardi, Uja Vota 1 Plant, Richard E. 1 Powell, John D. 1 Ricciardi, Luigi Maria 1 Rinzel, John 1 Skovgaard, Ove 1 Stevens, Ch. F. 1 Wright, Ewan M. 1 Yuen, Henry C. 1 Zabusky, Norman J. all top 5 Serials 9 Physica D 7 Physica Scripta 3 Mathematical Biosciences 2 Nonlinearity 2 Physics Letters. A 2 North-Holland Mathematics Studies 1 Journal of Mathematical Physics 1 Bulletin of Mathematical Biology 1 Journal of Computational and Applied Mathematics 1 Journal of Econometrics 1 Journal of Mathematical Psychology 1 Mathematical and Computer Modelling 1 Lectures on Mathematics in the Life Sciences 1 Lecture Notes in Physics 1 Oxford Applied and Engineering Mathematics 1 Oxford Texts in Applied and Engineering Mathematics all top 5 Fields 22 Biology and other natural sciences (92-XX) 18 Quantum theory (81-XX) 16 Partial differential equations (35-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 General and overarching topics; collections (00-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Ordinary differential equations (34-XX) 3 Numerical analysis (65-XX) 3 Fluid mechanics (76-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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