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Lieberman, Michael A.

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Author ID: lieberman.michael-a Recent zbMATH articles by "Lieberman, Michael A."
Published as: Lieberman, M. A.; Lieberman, Michael A.
Documents Indexed: 24 Publications since 1970, including 2 Books

Publications by Year

Citations contained in zbMATH Open

18 Publications have been cited 717 times in 692 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
Fermi acceleration revisited. Zbl 1194.37092
Lichtenberg, A. J.; Lieberman, M. A.; Cohen, R. H.
25
1980
A theory of modulational diffusion. Zbl 0584.58033
Chirikov, B. V.; Lieberman, M. A.; Shepel’yanskij, D. L.; Vivaldi, F. M.
11
1985
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
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
The dynamics of a class of coupled digital oscillators. Zbl 0817.94028
Wonchoba, Wayne E.; Lieberman, M. A.; Lichtenberg, A. J.
2
1994
Arnold diffusion in Hamiltonian systems with three degrees of freedom. Zbl 0471.35081
Lieberman, M. A.
2
1980
The dynamics of Fermi acceleration: from cosmic rays to discharge heating. Zbl 1091.82010
Lieberman, M. A.
1
2003
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
Analytical calculation of invariant distributions on strange attractors. Zbl 0584.58031
Tsang, Kwok Yeung; Lieberman, M. A.
1
1984
Transient chaotic distributions in dissipative systems. Zbl 0601.58051
Tsang, Kwok Yeung; Lieberman, M. A.
1
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
Diffusion in two-dimensional mappings. Zbl 0662.58023
Lichtenberg, A. J.; Lieberman, M. A.
1
1988
The dynamics of Fermi acceleration: from cosmic rays to discharge heating. Zbl 1091.82010
Lieberman, M. A.
1
2003
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
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
Transient chaotic distributions in dissipative systems. Zbl 0601.58051
Tsang, Kwok Yeung; Lieberman, M. A.
1
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
A theory of modulational diffusion. Zbl 0584.58033
Chirikov, B. V.; Lieberman, M. A.; Shepel’yanskij, D. L.; Vivaldi, F. M.
11
1985
Analytical calculation of invariant distributions on strange attractors. Zbl 0584.58031
Tsang, Kwok Yeung; Lieberman, M. A.
1
1984
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
Arnold diffusion in Hamiltonian systems with three degrees of freedom. Zbl 0471.35081
Lieberman, M. A.
2
1980
all top 5

Cited by 1,033 Authors

23 Leonel, Edson Denner
13 Lichtenberg, Allan J.
10 Caldas, Iberê L.
9 Lieberman, Michael A.
9 Luo, Albert C. J.
8 Borisov, Alekseĭ Vladimirovich
8 Bountis, Tassos C.
8 Koshel, Konstantin V.
8 Rizzato, Felipe B.
8 Rom-Kedar, Vered
8 Shepelyansky, Dima L.
7 Corso, Gilberto
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 Caranicolas, Nicolaos D.
5 Efthymiopoulos, Christos
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 Benettin, Giancarlo
4 Bizyaev, Ivan Alekseevich
4 Cincotta, Pablo M.
4 de Oliveira, G. I.
4 de Oliveira, Juliano A.
4 Dettmann, Carl P.
4 Hadjidemetriou, John D.
4 Holmes, Philip J.
4 Hydon, Peter Ellsworth
4 Izrailev, Felix M.
4 Kunin, I.
4 Kurths, Jürgen
4 Mortell, Michael Philip
4 Oliveira, Diego F. M.
4 Simó, Carles
4 Skokos, Charalampos Haris
4 Turchetti, Giorgio
4 Vaienti, Sandro
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 Chotorlishvili, Levan
3 Da Costa, Diogo Ricardo
3 Dodin, I. Y.
3 Eckhardt, Bruno
3 Fisch, Nathaniel J.
3 Karner, Gunther
3 Kovaleva, A. S.
3 Livorati, André Luís Prando
3 Luna-Acosta, G. A.
3 Mahmoud, Gamal M.
3 Marsden, Jerrold Eldon
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 Ozorio de Almeida, Alfredo M.
3 Pakter, Renato
3 Pando L., Carlos L.
3 Paul, Bishwajit
3 Pikovsky, Arkady S.
3 Robnik, Marko
3 Sataev, Igor’ Rustamovich
3 Seymour, Brian R.
3 Shevchenko, Ivan I.
3 Siboni, Stefano
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
2 Bolotin, Yuri L.
...and 933 more Authors
all top 5

Cited in 119 Serials

165 Physica D
70 Physics Letters. A
53 Chaos, Solitons and Fractals
34 Chaos
30 Communications in Nonlinear Science and Numerical Simulation
27 Journal of Statistical Physics
25 Celestial Mechanics and Dynamical Astronomy
21 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
17 Physica A
15 Physics of Fluids
12 Regular and Chaotic Dynamics
11 Mathematical Problems in Engineering
9 Journal of Computational Physics
8 Physics Reports
6 Computer Physics Communications
6 Theoretical and Mathematical Physics
6 Annals of Physics
5 Reports on Mathematical Physics
4 Astrophysics and Space Science
4 International Journal of Engineering 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 Physics of Fluids
3 Astronomische Nachrichten
3 Communications in Mathematical Physics
3 Journal of Applied Mathematics and Mechanics
3 Wave Motion
3 Applied Mathematics and Computation
3 Journal of Differential Equations
3 Journal of Dynamics and Differential Equations
3 Journal of Nonlinear Science
3 Nonlinear Dynamics
2 Acta Mechanica
2 General Relativity and Gravitation
2 Transport Theory and Statistical Physics
2 Bulletin of Mathematical Biology
2 Mathematics and Computers in Simulation
2 Applied Mathematics and Mechanics. (English Edition)
2 Dynamics and Stability of Systems
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 Journal of the European Mathematical Society (JEMS)
2 Czechoslovak Journal of Physics
2 Physical Review E. Third Series
2 SIAM Journal on Applied Dynamical Systems
2 The European Physical Journal B. Condensed Matter and Complex Systems
2 Journal of Physics A: Mathematical and Theoretical
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 Nelineĭnaya Dinamika
2 Journal of Siberian Federal University. Mathematics & Physics
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 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 Advances in Applied Mathematics
1 Cybernetics and Systems
1 Acta Applicandae Mathematicae
1 Applied Numerical Mathematics
1 Journal of Economic Dynamics & Control
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 Dynamics and Control
1 Computational Statistics and Data Analysis
1 Experimental Mathematics
1 Economic Theory
1 Journal of Difference Equations and Applications
1 Electronic Research Announcements of the American Mathematical Society
1 Journal of Mathematical Chemistry
1 Doklady Mathematics
1 Abstract and Applied Analysis
1 Open Systems & Information Dynamics
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Doklady Physics
...and 19 more Serials
all top 5

Cited in 39 Fields

418 Dynamical systems and ergodic theory (37-XX)
217 Mechanics of particles and systems (70-XX)
100 Ordinary differential equations (34-XX)
94 Fluid mechanics (76-XX)
88 Statistical mechanics, structure of matter (82-XX)
83 Quantum theory (81-XX)
46 Partial differential equations (35-XX)
28 Optics, electromagnetic theory (78-XX)
25 Numerical analysis (65-XX)
23 Probability theory and stochastic processes (60-XX)
22 Systems theory; control (93-XX)
15 Mechanics of deformable solids (74-XX)
14 Difference and functional equations (39-XX)
14 Biology and other natural sciences (92-XX)
11 Global analysis, analysis on manifolds (58-XX)
11 Geophysics (86-XX)
10 Relativity and gravitational theory (83-XX)
9 Astronomy and astrophysics (85-XX)
7 Computer science (68-XX)
7 Information and communication theory, circuits (94-XX)
6 Differential geometry (53-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-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)
2 General and overarching topics; collections (00-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 Combinatorics (05-XX)
1 Integral equations (45-XX)
1 Functional analysis (46-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year