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Lichtenberg, Allan J.

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Author ID: lichtenberg.allan-j Recent zbMATH articles by "Lichtenberg, Allan J."
Published as: Lichtenberg, A. J.; Lichtenberg, Allan J.
External Links: Wikidata · GND · IdRef · theses.fr
Documents Indexed: 34 Publications since 1964, including 3 Books

Publications by Year

Citations contained in zbMATH Open

20 Publications have been cited 751 times in 730 Documents Cited by Year
Regular and stochastic motion. Zbl 0506.70016
Lichtenberg, A. J.; Lieberman, M. A.
371
1983
Regular and chaotic dynamics. 2. ed. Zbl 0748.70001
Lichtenberg, A. J.; Lieberman, M. A.
261
1992
Self-synchronization of coupled oscillators with hysteretic responses. Zbl 0898.70016
Tanaka, Hisa-Aki; Lichtenberg, Allan J.; Oishi, Shin’ichi
27
1997
Fermi acceleration revisited. Zbl 1194.37092
Lichtenberg, A. J.; Lieberman, M. A.; Cohen, R. H.
25
1980
Four-dimensional mapping model for two-frequency electron cyclotron resonance heating. Zbl 0625.76124
Howard, J. E.; Lichtenberg, A. J.; Lieberman, M. A.; Cohen, R. H.
11
1986
Nonlinear dynamics of self-synchronizing systems. Zbl 0875.93489
de Sousa Vieira, M.; Lichtenberg, A. J.; Lieberman, M. A.
9
1991
Arnold and Arnold-like diffusion in many dimensions. Zbl 0820.58044
Wood, B. P.; Lichtenberg, A. J.; Lieberman, M. A.
7
1994
Chaotic breather formation, coalescence, and evolution to energy equipartition in an oscillatory chain. Zbl 0973.82509
Mirnov, V. V.; Lichtenberg, A. J.; Guclu, H.
7
2001
Chaos and the approach to equilibrium in a discrete sine-Gordon equation. Zbl 0761.58014
Goedde, C. G.; Lichtenberg, A. J.; Lieberman, M. A.
6
1992
Self-synchronization of many coupled oscillators. Zbl 0875.93179
de Sousa Vieira, M.; Lichtenberg, A. J.; Lieberman, M. A.
5
1994
Dynamics of oscillator chains. Zbl 1375.82072
Lichtenberg, Allan J.; Livi, Roberto; Pettini, Marco; Ruffo, Stefano
5
2008
Application of nonlinear mapping theory to commodity price fluctuations. Zbl 0676.90012
Lichtenberg, A. J.; Ujihara, A.
4
1989
Threshold to global diffusion in a nonmonotonic map with quadratic nonlinearity. Zbl 1076.37520
Corso, Gilberto; Lichtenberg, Allan J.
3
1999
Phase-space dynamics of particles. Zbl 0212.29801
Lichtenberg, A. J.
3
1969
The dynamics of a class of coupled digital oscillators. Zbl 0817.94028
Wonchoba, Wayne E.; Lieberman, M. A.; Lichtenberg, A. J.
2
1994
Nonlinear dynamics of digital phase-locked loops with delay. Zbl 0873.34029
de Sousa Vieira, Maria; Lichtenberg, Allan J.; Lieberman, Michael A.
1
1994
Stability of synchronized states in one dimensional networks of second order PLLS. Zbl 0890.94040
Tanaka, Hisa-Aki; de Sousa Vieira, Maria; Lichtenberg, Allan J.; Lieberman, Michael A.; Oishi, Shin’ichi
1
1997
Dynamics of oscillator chains from high frequency initial conditions: comparison of \(\phi^4\) and FPU-\(\beta\) models. Zbl 1080.82012
Lichtenberg, Allan J.; Mirnov, Vladimir V.; Day, Christopher
1
2005
Diffusion in two-dimensional mappings. Zbl 0662.58023
Lichtenberg, A. J.; Lieberman, M. A.
1
1988
Velocity diffusion in two-frequency electron cyclotron resonance heating. Zbl 0602.76095
Lichtenberg, A. J.; Lieberman, M. A.; Howard, J. E.; Cohen, R. H.
1
1986
Dynamics of oscillator chains. Zbl 1375.82072
Lichtenberg, Allan J.; Livi, Roberto; Pettini, Marco; Ruffo, Stefano
5
2008
Dynamics of oscillator chains from high frequency initial conditions: comparison of \(\phi^4\) and FPU-\(\beta\) models. Zbl 1080.82012
Lichtenberg, Allan J.; Mirnov, Vladimir V.; Day, Christopher
1
2005
Chaotic breather formation, coalescence, and evolution to energy equipartition in an oscillatory chain. Zbl 0973.82509
Mirnov, V. V.; Lichtenberg, A. J.; Guclu, H.
7
2001
Threshold to global diffusion in a nonmonotonic map with quadratic nonlinearity. Zbl 1076.37520
Corso, Gilberto; Lichtenberg, Allan J.
3
1999
Self-synchronization of coupled oscillators with hysteretic responses. Zbl 0898.70016
Tanaka, Hisa-Aki; Lichtenberg, Allan J.; Oishi, Shin’ichi
27
1997
Stability of synchronized states in one dimensional networks of second order PLLS. Zbl 0890.94040
Tanaka, Hisa-Aki; de Sousa Vieira, Maria; Lichtenberg, Allan J.; Lieberman, Michael A.; Oishi, Shin’ichi
1
1997
Arnold and Arnold-like diffusion in many dimensions. Zbl 0820.58044
Wood, B. P.; Lichtenberg, A. J.; Lieberman, M. A.
7
1994
Self-synchronization of many coupled oscillators. Zbl 0875.93179
de Sousa Vieira, M.; Lichtenberg, A. J.; Lieberman, M. A.
5
1994
The dynamics of a class of coupled digital oscillators. Zbl 0817.94028
Wonchoba, Wayne E.; Lieberman, M. A.; Lichtenberg, A. J.
2
1994
Nonlinear dynamics of digital phase-locked loops with delay. Zbl 0873.34029
de Sousa Vieira, Maria; Lichtenberg, Allan J.; Lieberman, Michael A.
1
1994
Regular and chaotic dynamics. 2. ed. Zbl 0748.70001
Lichtenberg, A. J.; Lieberman, M. A.
261
1992
Chaos and the approach to equilibrium in a discrete sine-Gordon equation. Zbl 0761.58014
Goedde, C. G.; Lichtenberg, A. J.; Lieberman, M. A.
6
1992
Nonlinear dynamics of self-synchronizing systems. Zbl 0875.93489
de Sousa Vieira, M.; Lichtenberg, A. J.; Lieberman, M. A.
9
1991
Application of nonlinear mapping theory to commodity price fluctuations. Zbl 0676.90012
Lichtenberg, A. J.; Ujihara, A.
4
1989
Diffusion in two-dimensional mappings. Zbl 0662.58023
Lichtenberg, A. J.; Lieberman, M. A.
1
1988
Four-dimensional mapping model for two-frequency electron cyclotron resonance heating. Zbl 0625.76124
Howard, J. E.; Lichtenberg, A. J.; Lieberman, M. A.; Cohen, R. H.
11
1986
Velocity diffusion in two-frequency electron cyclotron resonance heating. Zbl 0602.76095
Lichtenberg, A. J.; Lieberman, M. A.; Howard, J. E.; Cohen, R. H.
1
1986
Regular and stochastic motion. Zbl 0506.70016
Lichtenberg, A. J.; Lieberman, M. A.
371
1983
Fermi acceleration revisited. Zbl 1194.37092
Lichtenberg, A. J.; Lieberman, M. A.; Cohen, R. H.
25
1980
Phase-space dynamics of particles. Zbl 0212.29801
Lichtenberg, A. J.
3
1969
all top 5

Cited by 1,129 Authors

17 Leonel, Edson Denner
13 Lichtenberg, Allan J.
11 Caldas, Iberê L.
9 Lieberman, Michael A.
9 Luo, Albert C. J.
8 Borisov, Alekseĭ Vladimirovich
8 Bountis, Tassos C.
8 Ha, Seung-Yeal
8 Koshel, Konstantin V.
8 Rizzato, Felipe B.
8 Rom-Kedar, Vered
8 Shepelyansky, Dima L.
7 Choi, Young-Pil
7 Corso, Gilberto
7 Kurths, Jürgen
7 Mamaev, Ivan Sergeevich
6 Chirikov, Boris Valerianovich
6 Howard, James E.
6 Lakshmanan, Muthusamy
6 Manchein, Cesar
6 Meiss, James D.
6 Pérez-Molina, Manuel
6 Pérez Polo, Manuel F.
5 Beims, Marcus W.
5 Benettin, Giancarlo
5 Caranicolas, Nicolaos D.
5 Goedde, Christopher G.
5 Gomez, Ignacio S.
5 Kuznetsov, Sergey P.
5 Méndez-Bermúdez, J. A.
5 Schaffer, William Morris
5 Viana, Ricardo Luiz
4 Aguilar-Sánchez, R.
4 Bizyaev, Ivan Alekseevich
4 Chotorlishvili, Levan
4 de Oliveira, G. I.
4 de Oliveira, Juliano A.
4 Dettmann, Carl P.
4 Hadjidemetriou, John D.
4 Hydon, Peter Ellsworth
4 Izrailev, Felix M.
4 Kunin, I.
4 Mortell, Michael Philip
4 Oliveira, Diego F. M.
4 Simó, Carles
4 Skokos, Charalampos Haris
4 Wiggins, Stephen
3 Antonopoulos, Chris G.
3 Artuso, Roberto
3 Bäcker, Arnd
3 Banerjee, Tanmoy
3 Berk, Herbert L.
3 Bountis, Anastasios
3 Casati, Giulio
3 Castagnino, Mario Alberto
3 Chernykh, German A.
3 Chica, Javier Gil
3 Da Costa, Diogo Ricardo
3 Dodin, I. Y.
3 Eckhardt, Bruno
3 Fisch, Nathaniel J.
3 Holmes, Philip J.
3 Karner, Gunther
3 Kawahara, Takuji
3 Kovaleva, A. S.
3 Livorati, André Luís Prando
3 Luna-Acosta, G. A.
3 Mahmoud, Gamal M.
3 Mezić, Igor
3 Miguel, Narcís
3 Mirnov, Vladimir V.
3 Morozov, Al’bert Dmitrievich
3 Murakami, Chieko
3 Murakami, Wakako
3 Nozaki, Kazuhiro
3 Osipov, Grigory V.
3 Ozorio de Almeida, Alfredo M.
3 Pakter, Renato
3 Pando L., Carlos L.
3 Paul, Bishwajit
3 Pikovsky, Arkady S.
3 Ponno, Antonio
3 Robnik, Marko
3 Sataev, Igor’ Rustamovich
3 Seymour, Brian R.
3 Shevchenko, Ivan I.
3 Turchetti, Giorgio
3 Vaienti, Sandro
3 Vieiro, Arturo
3 Vivaldi, Franco
3 Vulpiani, Angelo
3 Yukalov, Vyacheslav I.
3 Zaslavskiĭ, Georgiĭ Moiseevich
2 Abel, Markus
2 Aizawa, Yōji
2 Akulenko, Leonid Denisovich
2 Amundsen, David E.
2 Bazzani, Armando
2 Bellissard, Jean V.
2 Bódai, Tamás
...and 1,029 more Authors
all top 5

Cited in 126 Serials

168 Physica D
70 Physics Letters. A
54 Chaos, Solitons and Fractals
44 Chaos
30 Communications in Nonlinear Science and Numerical Simulation
28 Journal of Statistical Physics
21 Celestial Mechanics and Dynamical Astronomy
21 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
18 Physica A
17 Physics of Fluids
13 Regular and Chaotic Dynamics
11 Mathematical Problems in Engineering
9 Journal of Computational Physics
9 Physics Reports
6 Computer Physics Communications
6 Theoretical and Mathematical Physics
6 Annals of Physics
5 International Journal of Engineering Science
5 Reports on Mathematical Physics
5 Wave Motion
5 Journal of Differential Equations
4 Astrophysics and Space Science
4 International Journal of Theoretical Physics
4 Journal of the Franklin Institute
4 Journal of Mathematical Physics
4 Nonlinearity
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Prikladnaya Matematika i Mekhanika
4 Celestial Mechanics
4 Journal of Nonlinear Science
4 Physics of Fluids
3 Astronomische Nachrichten
3 Communications in Mathematical Physics
3 Journal of Applied Mathematics and Mechanics
3 Applied Mathematics and Computation
3 Mathematics and Computers in Simulation
3 Journal of Economic Dynamics & Control
3 Journal of Dynamics and Differential Equations
3 Nonlinear Dynamics
3 SIAM Journal on Applied Dynamical Systems
3 Nelineĭnaya Dinamika
2 Acta Mechanica
2 General Relativity and Gravitation
2 Transport Theory and Statistical Physics
2 Bulletin of Mathematical Biology
2 Applied Mathematics and Mechanics. (English Edition)
2 Dynamics and Stability of Systems
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 SIAM Journal on Mathematical Analysis
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Russian Journal of Mathematical Physics
2 Journal of Mathematical Sciences (New York)
2 European Journal of Mechanics. B. Fluids
2 Czechoslovak Journal of Physics
2 Physical Review E. Third Series
2 The European Physical Journal B. Condensed Matter and Complex Systems
2 Journal of Physics A: Mathematical and Theoretical
2 Mathematical Modelling of Natural Phenomena
2 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
2 Nonlinear Phenomena in Complex Systems (Minsk)
2 Nonlinear Analysis. Theory, Methods & Applications
2 Journal of Siberian Federal University. Mathematics & Physics
1 International Journal of Modern Physics B
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Classical and Quantum Gravity
1 Computers and Fluids
1 Geophysical and Astrophysical Fluid Dynamics
1 International Journal of Control
1 International Journal of Heat and Mass Transfer
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Biology
1 Letters in Mathematical Physics
1 Mathematical Notes
1 Rocky Mountain Journal of Mathematics
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Theoretical and Computational Fluid Dynamics
1 Automatica
1 Computing
1 Functional Analysis and its Applications
1 Information Sciences
1 Journal of Computational and Applied Mathematics
1 Journal of Economic Theory
1 Journal of Functional Analysis
1 Kybernetes
1 Meccanica
1 Mechanics Research Communications
1 Quarterly of Applied Mathematics
1 SIAM Journal on Control and Optimization
1 Advances in Applied Mathematics
1 Cybernetics and Systems
1 Acta Applicandae Mathematicae
1 Applied Numerical Mathematics
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 Economics Letters
1 Dynamics and Control
1 Computational Statistics and Data Analysis
1 Experimental Mathematics
1 Economic Theory
...and 26 more Serials
all top 5

Cited in 39 Fields

425 Dynamical systems and ergodic theory (37-XX)
215 Mechanics of particles and systems (70-XX)
122 Ordinary differential equations (34-XX)
99 Fluid mechanics (76-XX)
96 Statistical mechanics, structure of matter (82-XX)
83 Quantum theory (81-XX)
50 Partial differential equations (35-XX)
29 Optics, electromagnetic theory (78-XX)
27 Numerical analysis (65-XX)
26 Systems theory; control (93-XX)
22 Probability theory and stochastic processes (60-XX)
21 Biology and other natural sciences (92-XX)
16 Mechanics of deformable solids (74-XX)
15 Difference and functional equations (39-XX)
11 Geophysics (86-XX)
10 Global analysis, analysis on manifolds (58-XX)
10 Relativity and gravitational theory (83-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Astronomy and astrophysics (85-XX)
7 Computer science (68-XX)
7 Information and communication theory, circuits (94-XX)
5 Differential geometry (53-XX)
5 Statistics (62-XX)
4 History and biography (01-XX)
4 Real functions (26-XX)
4 Measure and integration (28-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Number theory (11-XX)
3 Operator theory (47-XX)
3 Operations research, mathematical programming (90-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Nonassociative rings and algebras (17-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 General topology (54-XX)
1 Mathematical logic and foundations (03-XX)
1 Integral equations (45-XX)
1 Functional analysis (46-XX)

Citations by Year

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