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Author ID: ott.edward Recent zbMATH articles by "Ott, Edward"
Published as: Ott, Edward; Ott, E.
Homepage: http://www.chaos.umd.edu/personnel/ott.html
External Links: MGP · Wikidata · GND · IdRef
all top 5

Co-Authors

5 single-authored
39 Antonsen, Thomas M. jun.
30 Yorke, James Alan
25 Grebogi, Celso
13 Girvan, Michelle
13 Hunt, Brian R.
6 Finn, John M.
5 Restrepo, Juan G.
5 So, Paul
5 Sommerer, John C.
4 Barlev, Gilad
4 Barreto, Ernest
4 Chandra, Sarthak
4 Drobot, Adam T.
4 Guzdar, Parvez N.
4 Kan, Ittai
4 Manheimer, Wallace M.
4 Sweet, David
4 Venkataramani, Shankar C.
3 Chen, Qi
3 Chu, K. R.
3 Ding, Mingzhou
3 Du, Yunson
3 Jacobs, Joeri
3 Nusse, Helena Engelina
3 Pathak, Jaideep
3 Romeiras, Filipe J.
3 Sorrentino, Francesco
3 Szunyogh, Istvan
2 Alexander, James Crew
2 Alligood, Kathleen T.
2 Battelino, Peter M.
2 Bondeson, Anders
2 Breban, Romulus
2 Cohen, Adam B.
2 Gabbay, Michael J.
2 Hanson, James D.
2 Hughes, Thomas P.
2 Hui, Bertram
2 Kleva, Robert G.
2 Kostelich, Eric J.
2 Lee, Wai Shing
2 McDonald, Steven W.
2 Mecholsky, Nicholas A.
2 Nam, Keeyeol
2 Oerter, R. N.
2 Patel, Dhruvit
2 Platig, John H.
2 Robert, Carl
2 Roy, Rajarshi
2 Russell, David A.
2 Sauer, Timothy D.
2 Swegle, John A.
2 Wersinger, Jean-Marie
2 Yorke, Ellen D.
2 Yu, Lei
1 Abdulrehem, Mahmoud M.
1 Anderson, Dustin
1 Anlage, Steven M.
1 Armstead, Douglas N.
1 Auerbach, Ditza
1 Baek, Seung-Jong
1 Banerjee, Soumitro
1 Bleher, Siegfried
1 Blümel, Reinhold
1 Bohr, Tomas
1 Bolliger, B.
1 Bonoli, Paul T.
1 Book, David L.
1 Canaday, Daniel
1 Chauhan, Sanjeev
1 Chin, Wai
1 Colombant, Denis G.
1 Corazza, Marco
1 Crain, Kimberly
1 Dayawansa, Wijesuriya P.
1 Deshazer, David J.
1 Ditto, William L.
1 Dronov, Vasily
1 Erbudak, Mehmet
1 Faghih, R. T.
1 Fan, Zhencan
1 Farmer, James Doyne
1 Garcia-Lopez, E.
1 Gradoni, Gabriele
1 Hathcock, David
1 Hensch, A.
1 Huber, Greg
1 Joglekar, Madhura R.
1 Kalnay, Eugenia
1 Kortan, A. R.
1 Ku, Wai Lim
1 Lai, Yingcheng
1 Larremore, Daniel B.
1 Lathrop, Daniel P.
1 Lau, Yun-Tung
1 Lu, Zhixin
1 Meiss, James D.
1 Miner, William H.
1 Murphy, Thomas E.
1 Namenson, Arthur I.
...and 33 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

117 Publications have been cited 5,604 times in 4,372 Documents Cited by Year
Controlling chaos. Zbl 0964.37501
Ott, Edward; Grebogi, Celso; Yorke, James A.
1990
Chaos in dynamical systems. Zbl 0792.58014
Ott, Edward
516
1993
Chaos in dynamical systems. 2nd ed. Zbl 1006.37001
Ott, Edward
430
2002
Crises, sudden changes in chaotic attractors, and transient chaos. Zbl 0561.58029
Grebogi, Celso; Ott, Edward; Yorke, James A.
301
1983
Low dimensional behavior of large systems of globally coupled oscillators. Zbl 1309.34058
Ott, Edward; Antonsen, Thomas M.
274
2008
Strange attractors that are not chaotic. Zbl 0588.58036
Grebogi, Celso; Ott, Edward; Pelikan, Steven; Yorke, James A.
175
1984
Fractal basin boundaries. Zbl 0588.58033
McDonald, Steven W.; Grebogi, Celso; Ott, Edward; Yorke, James A.
168
1985
Long time evolution of phase oscillator systems. Zbl 1309.34059
Ott, Edward; Antonsen, Thomas M.
155
2009
The dimension of chaotic attractors. Zbl 0561.58032
Farmer, J. Doyne; Ott, Edward; Yorke, James A.
138
1983
Controlling chaotic dynamical systems. Zbl 1194.37140
Romeiras, Filipe J.; Grebogi, Celso; Ott, Edward; Dayawansa, W. P.
125
1992
Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data. Zbl 1390.37138
Pathak, Jaideep; Lu, Zhixin; Hunt, Brian R.; Girvan, Michelle; Ott, Edward
100
2017
Strange attractors and chaotic motions of dynamical systems. Zbl 1114.37303
Ott, Edward
66
1981
Chaos, strange attractors, and fractal basin boundaries in nonlinear dynamics. Zbl 1226.37015
Grebogi, Celso; Ott, Edward; Yorke, James A.
64
1987
The transition to chaotic attractors with riddled basins. Zbl 0820.58043
Ott, Edward; Alexander, J. C.; Kan, I.; Sommerer, J. C.; Yorke, J. A.
57
1994
Attractors on an N-torus: Quasiperiodicity versus chaos. Zbl 0577.58023
Grebogi, Celso; Ott, Edward; Yorke, James A.
55
1985
Basin boundary metamorphoses: Changes in accessible boundary orbits. Zbl 0613.58018
Grebogi, Celso; Ott, Edward; Yorke, James A.
55
1987
Markov tree model of transport in area-preserving maps. Zbl 0658.60144
Meiss, James D.; Ott, Edward
53
1986
Controlling chaos in high-dimensional systems. Zbl 0964.37502
Auerbach, Ditza; Grebogi, Celso; Ott, Edward; Yorke, James A.
52
1992
Border-collision bifurcations in the buck converter. Zbl 0952.94020
Yuan, Guohui; Banerjee, Soumitro; Ott, Edward; Yorke, James A.
49
1998
Bifurcation to chaotic scattering. Zbl 0713.58039
Bleher, Siegfried; Grebogi, Celso; Ott, Edward
45
1990
Transition to chaos for random dynamical systems. Zbl 1050.37515
Yu, Lei; Ott, Edward; Chen, Qi
43
1990
The role of chaotic orbits in the determination of power spectra of passive scalars. Zbl 1027.76662
Antonsen, Thomas M. jun.; Fan, Zhencan; Ott, Edward; Garcia-Lopez, E.
42
1996
Nonlinear theory of ion acoustic waves with Landau damping. Zbl 0193.58203
Ott, E.; Sudan, R. N.
40
1969
Coping with chaos: analysis of chaotic data and the exploitation of chaotic systems. Zbl 0840.58001
39
1994
Scaling behavior of chaotic systems with riddled basins. Zbl 0972.37514
Ott, Edward; Sommerer, John C.; Alexander, James C.; Kan, Ittai; Yorke, James A.
39
1993
Wada basin boundaries in chaotic scattering. Zbl 0870.58069
Poon, Leon; Campos, José; Ott, Edward; Grebogi, Celso
37
1996
Universal behavior of impact oscillators near grazing incidence. Zbl 1020.70506
Chin, Wai; Ott, Edward; Nusse, Helena E.; Grebogi, Celso
37
1995
Synchronization in large directed networks of coupled phase oscillators. Zbl 1144.37402
Restrepo, Juan G.; Ott, Edward; Hunt, Brian R.
37
2006
Bifurcation and ”strange” behavior in instability saturation by nonlinear three-wave mode coupling. Zbl 0446.76094
Wersinger, J.-M.; Finn, J. M.; Ott, Edward
34
1980
Estimating correlation dimension from a chaotic time series: When does plateau onset occur? Zbl 0803.58038
Ding, Mingzhou; Grebogi, Celso; Ott, Edward; Sauer, Tim; Yorke, James A.
31
1993
Explosions of chaotic sets. Zbl 0959.37042
Robert, Carl; Alligood, Kathleen T.; Ott, Edward; Yorke, James A.
31
2000
Unstable dimension variability: A source of nonhyperbolicity in chaotic systems. Zbl 0925.58048
Kostelich, Eric J.; Kan, Ittai; Ott, Edward; Yorke, James A.
31
1997
Comment on “Long time evolution of phase oscillator systems”. Zbl 1317.34064
Ott, Edward; Hunt, Brian R.; Antonsen, Thomas M.
27
2011
Quasiperiodically forced dynamical systems with strange nonchaotic attractors. Zbl 0612.58030
Romeiras, Filipe J.; Bondeson, Anders; Ott, Edward; Antonsen, Thomas M. jun.; Grebogi, Celso
27
1987
External periodic driving of large systems of globally coupled phase oscillators. Zbl 1309.34052
Antonsen, T. M.; Faghih, R. T.; Girvan, M.; Ott, E.; Platig, J.
27
2008
Chaotic flows and fast magnetic dynamos. Zbl 0656.76048
Finn, John M.; Ott, Edward
26
1988
Using the sensitive dependence of chaos (the “butterfly effect”) to direct trajectories in an experimental chaotic system. Zbl 0969.37512
Shinbrot, Troy; Ditto, William; Grebogi, Celso; Ott, Edward; Spano, Mark; Yorke, James A.
25
1992
Topology in chaotic scattering. Zbl 1369.37049
Sweet, David; Ott, Edward; Yorke, James A.
25
1999
Fractal dimension in nonhyperbolic chaotic scattering. Zbl 0968.37507
Lau, Yun-Tung; Finn, John M.; Ott, Edward
22
1991
Multiple coexisting attractors, basin boundaries and basic sets. Zbl 0668.58035
Battelino, Peter M.; Grebogi, Celso; Ott, Edward; Yorke, James A.; Yorke, Ellen D.
21
1988
On-off intermittency: power spectrum and fractal properties of time series. Zbl 1194.37147
Venkataramani, Shankar C.; Antonsen, Thomas M. jun.; Ott, Edward; Sommerer, John C.
20
1996
Super persistent chaotic transients. Zbl 0593.58021
Grebogi, Celso; Ott, Edward; Yorke, James A.
20
1985
Is the dimension of chaotic attractors invariant under coordinate changes? Zbl 0588.58042
Ott, E.; Withers, W. D.; Yorke, J. A.
19
1984
Fractal distribution of floaters on a fluid surface and the transition to chaos for random maps. Zbl 0743.60118
Yu, Lei; Ott, Edward; Chen, Qi
17
1991
Dynamics and pattern formation in large systems of spatially-coupled oscillators with finite response times. Zbl 1317.34060
Lee, Wai Shing; Restrepo, Juan G.; Ott, Edward; Antonsen, Thomas M.
17
2011
Low dimensional description of Pedestrian-induced oscillation of the millennium bridge. Zbl 1311.37071
Abdulrehem, Mahmoud M.; Ott, Edward
16
2009
Using synchronization of chaos to identify the dynamics of unknown systems. Zbl 1317.34124
Sorrentino, Francesco; Ott, Edward
15
2009
Chaotic attractors on a 3-torus, and torus break-up. Zbl 0694.58029
Battelino, Peter M.; Grebogi, Celso; Ott, Edward; Yorke, James A.
15
1989
Defining chaos. Zbl 1374.37002
Hunt, Brian R.; Ott, Edward
15
2015
Predicting the statistics of wave transport through chaotic cavities by the random coupling model: a review and recent progress. Zbl 1456.78011
Gradoni, Gabriele; Yeh, Jen-Hao; Xiao, Bo; Antonsen, Thomas M.; Anlage, Steven M.; Ott, Edward
15
2014
The dynamics of network coupled phase oscillators: an ensemble approach. Zbl 1317.34049
Barlev, Gilad; Antonsen, Thomas M.; Ott, Edward
14
2011
Targeting in Hamiltonian systems that have mixed regular/chaotic phase spaces. Zbl 0933.37035
Schroer, Christian G.; Ott, Edward
14
1997
Complexity reduction ansatz for systems of interacting orientable agents: beyond the Kuramoto model. Zbl 1415.34085
Chandra, Sarthak; Girvan, Michelle; Ott, Edward
14
2019
Dynamical transitions in large systems of mean field-coupled Landau-Stuart oscillators: extensive chaos and cluster states. Zbl 1374.34110
Ku, Wai Lim; Girvan, Michelle; Ott, Edward
13
2015
Structure and crises of fractal basin boundaries. Zbl 1177.37038
McDonald, Steven W.; Grebogi, Celso; Ott, Edward; Yorke, James A.
12
1985
A scaling law: How an attractor’s volume depends on noise level. Zbl 0577.58024
Ott, Edward; Yorke, Ellen D.; Yorke, James A.
11
1985
The stability of adaptive synchronization of chaotic systems. Zbl 1311.34098
Sorrentino, Francesco; Barlev, Gilad; Cohen, Adam B.; Ott, Edward
11
2010
Basic sets: Sets that determine the dimension of basin boundaries. Zbl 0674.58031
Grebogi, Celso; Nusse, Helena E.; Ott, Edward; Yorke, James A.
11
1988
Intermingled basins of attraction: uncomputability in a simple physical system. Zbl 0972.37550
Sommerer, John C.; Ott, Edward
11
1996
Quasiperiodic forcing and the observability of strange nonchaotic attractors. Zbl 1063.37520
Romeiras, Filipe J.; Bondeson, Anders; Ott, Edward; Antonsen, Thomas M. jun.; Grebogi, Celso
11
1989
The structure of spiral-domain patterns and shocks in the \(2\)D complex Ginzburg-Landau equation. Zbl 0938.35176
Bohr, Tomas; Huber, Greg; Ott, Edward
10
1997
The onset of synchronization in systems of globally coupled chaotic and periodic oscillators. Zbl 1008.37020
Ott, Edward; So, Paul; Barreto, Ernest; Antonsen, Thomas
10
2002
Power-law decay and self-similar distributions in stadium-type billiards. Zbl 1059.37026
Armstead, Douglas N.; Hunt, Brian R.; Ott, Edward
10
2004
Modeling the network dynamics of pulse-coupled neurons. Zbl 1390.92010
Chandra, Sarthak; Hathcock, David; Crain, Kimberly; Antonsen, Thomas M.; Girvan, Michelle; Ott, Edward
10
2017
Phase and amplitude dynamics in large systems of coupled oscillators: growth heterogeneity, nonlinear frequency shifts, and cluster states. Zbl 1323.34050
Shing Lee, Wai; Ott, Edward; Antonsen, Thomas M.
9
2013
Quantum manifestations of chaotic scattering. Zbl 0969.81541
Lai, Ying-Cheng; Blümel, Reinhold; Ott, Edward; Grebogi, Celso
9
1992
Observing microscopic transitions from macroscopic bursts: instability-mediated resetting in the incoherent regime of the \(D\)-dimensional generalized Kuramoto model. Zbl 1474.70035
Chandra, Sarthak; Ott, Edward
9
2019
Multiscale dynamics in communities of phase oscillators. Zbl 1331.34051
Anderson, Dustin; Tenzer, Ari; Barlev, Gilad; Girvan, Michelle; Antonsen, Thomas M.; Ott, Edward
8
2012
Chaotic (strange) and periodic behavior in instability saturation by the oscillating two-stream instability. Zbl 0484.76115
Russell, David A.; Ott, Edward
8
1981
Phase synchronization in a modulated chaotic laser array. Zbl 1060.78527
Deshazer, David J.; Breban, Romulus; Ott, Edward; Roy, Rajarshi
8
2004
Complex dynamics and synchronization of delayed-feedback nonlinear oscillators. Zbl 1204.34109
Murphy, Thomas E.; Cohen, Adam B.; Ravoori, Bhargava; Schmitt, Karl R. B.; Setty, Anurag V.; Sorrentino, Francesco; Williams, Caitlin R. S.; Ott, Edward; Roy, Rajarshi
8
2010
Obstacle and predator avoidance in a model for flocking. Zbl 1189.37100
Mecholsky, Nicholas A.; Ott, Edward; Antonsen, Thomas M. jun.
8
2010
Emergence of synchronization in complex networks of interacting dynamical systems. Zbl 1130.37347
Restrepo, Juan G.; Ott, Edward; Hunt, Brian R.
8
2006
Local synchronization in complex networks of coupled oscillators. Zbl 1317.34112
Stout, John; Whiteway, Matthew; Ott, Edward; Girvan, Michelle; Antonsen, Thomas M.
7
2011
Growth rates for fast kinematic dynamo instabilities of chaotic fluid flows. Zbl 0789.76038
Du, Yunson; Ott, Edward
7
1993
Fractal dimensions of fast dynamo magnetic fields. Zbl 0786.58035
Du, Yunson; Ott, Edward
7
1993
Anomalous diffusion in bounded temporally irregular flows. Zbl 0946.76091
Venkataramani, Shankar C.; Antonsen, Thomas M. jun.; Ott, Edward
7
1998
Echo phenomena in large systems of coupled oscillators. Zbl 1309.34060
Ott, Edward; Platig, John H.; Antonsen, Thomas M.; Girvan, Michelle
7
2008
Modeling fractal entrainment sets of tracers advected by chaotic temporally irregular fluid flows using random maps. Zbl 0925.76259
Jacobs, Joeri; Ott, Edward; Antonsen, Thomas; Yorke, James
6
1997
Map model for synchronization of systems of many coupled oscillators. Zbl 1311.34071
Barlev, Gilad; Girvan, Michelle; Ott, Edward
6
2010
Lévy flights in fluid flows with no Kolmogorov-Arnold-Moser surfaces. Zbl 0982.76520
Venkataramani, Shankar C.; Antonsen, Thomas M. jun.; Ott, Edward
6
1997
Power spectrum of passive scalars in two-dimensional chaotic flows. Zbl 0983.76034
Yuan, Guo-Cheng; Nam, Keeyeol; Antonsen, Thomas M. jun.; Ott, Edward; Guzdar, Parvez N.
6
2000
Using data assimilation to train a hybrid forecast system that combines machine-learning and knowledge-based components. Zbl 1462.37090
Wikner, Alexander; Pathak, Jaideep; Hunt, Brian R.; Szunyogh, Istvan; Girvan, Michelle; Ott, Edward
6
2021
Frequency and phase synchronization in large groups: low dimensional description of synchronized clapping, firefly flashing, and cricket chirping. Zbl 1390.34096
Ott, Edward; Antonsen, Thomas M. jun.
6
2017
Effects of network topology, transmission delays, and refractoriness on the response of coupled excitable systems to a stochastic stimulus. Zbl 1317.93184
Larremore, Daniel B.; Shew, Woodrow L.; Ott, Edward; Restrepo, Juan G.
5
2011
Fractal dimension of higher-dimensional chaotic repellors. Zbl 0974.37016
Sweet, David; Ott, Edward
5
2000
Fractal basin boundaries in higher-dimensional chaotic scattering. Zbl 0949.37016
Sweet, David; Ott, Edward
5
2000
Structure in the parameter dependence of order and chaos for the quadratic map. Zbl 0930.37016
Hunt, Brian R.; Ott, Edward
5
1997
Vorticity generation by instabilities of chaotic fluid flows. Zbl 0941.76036
Reyl, Charles; Antonsen, Thomas M. jun.; Ott, Edward
5
1998
Using machine learning to predict statistical properties of non-stationary dynamical processes: system climate, regime transitions, and the effect of stochasticity. Zbl 1459.86011
Patel, Dhruvit; Canaday, Daniel; Girvan, Michelle; Pomerance, Andrew; Ott, Edward
5
2021
Computing the measure of nonattracting chaotic sets. Zbl 0933.37050
Jacobs, Joeri; Ott, Edward; Grebogi, Celso
4
1997
Spheromak tilting instability in cylindrical geometry. Zbl 0461.76110
Finn, John M.; Manheimer, Wallace M.; Ott, Edward
4
1981
Rayleigh-Taylor instability in the ’shallow-water’ approximation. Zbl 0331.76033
Book, D. L.; Ott, Edward; Sulton, A. L.
4
1974
Characterization of sign singular measures. Zbl 1194.76070
Du, Yunson; Tél, Tamas; Ott, Edward
4
1994
The dynamics of scroll wave filaments in the complex Ginzburg-Landau equation. Zbl 1194.35437
Gabbay, Michael; Ott, Edward; Guzdar, Parvez N.
4
1998
Outer tangency bifurcations of chaotic sets. Zbl 0986.37025
Robert, Carl; Alligood, Kathleen T.; Ott, Edward; Yorke, James A.
4
1998
Three-dimensional optical billiard chaotic scattering. Zbl 0969.78541
Sweet, David; Zeff, Benjamin W.; Ott, Edward; Lathrop, Daniel P.
3
2001
Spiral wave dynamics in the complex Ginzburg-Landau equation with broken chiral symmetry. Zbl 0938.35072
Nam, Keeyeol; Ott, Edward; Gabbay, Michael; Guzdar, Parvez N.
3
1998
Controlling chaos in a temporally irregular environment. Zbl 0825.93307
Ding, Mingzhou; Ott, Edward; Grebogi, Celso
3
1994
Diffusion coefficient for ions in the presence of a coherent lower hybrid wave. Zbl 0469.76111
Antonsen, Thomas M. jun.; Ott, Edward
3
1981
Using data assimilation to train a hybrid forecast system that combines machine-learning and knowledge-based components. Zbl 1462.37090
Wikner, Alexander; Pathak, Jaideep; Hunt, Brian R.; Szunyogh, Istvan; Girvan, Michelle; Ott, Edward
6
2021
Using machine learning to predict statistical properties of non-stationary dynamical processes: system climate, regime transitions, and the effect of stochasticity. Zbl 1459.86011
Patel, Dhruvit; Canaday, Daniel; Girvan, Michelle; Pomerance, Andrew; Ott, Edward
5
2021
Complexity reduction ansatz for systems of interacting orientable agents: beyond the Kuramoto model. Zbl 1415.34085
Chandra, Sarthak; Girvan, Michelle; Ott, Edward
14
2019
Observing microscopic transitions from macroscopic bursts: instability-mediated resetting in the incoherent regime of the \(D\)-dimensional generalized Kuramoto model. Zbl 1474.70035
Chandra, Sarthak; Ott, Edward
9
2019
Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data. Zbl 1390.37138
Pathak, Jaideep; Lu, Zhixin; Hunt, Brian R.; Girvan, Michelle; Ott, Edward
100
2017
Modeling the network dynamics of pulse-coupled neurons. Zbl 1390.92010
Chandra, Sarthak; Hathcock, David; Crain, Kimberly; Antonsen, Thomas M.; Girvan, Michelle; Ott, Edward
10
2017
Frequency and phase synchronization in large groups: low dimensional description of synchronized clapping, firefly flashing, and cricket chirping. Zbl 1390.34096
Ott, Edward; Antonsen, Thomas M. jun.
6
2017
Uncovering low dimensional macroscopic chaotic dynamics of large finite size complex systems. Zbl 1390.34100
Skardal, Per Sebastian; Restrepo, Juan G.; Ott, Edward
1
2017
Defining chaos. Zbl 1374.37002
Hunt, Brian R.; Ott, Edward
15
2015
Dynamical transitions in large systems of mean field-coupled Landau-Stuart oscillators: extensive chaos and cluster states. Zbl 1374.34110
Ku, Wai Lim; Girvan, Michelle; Ott, Edward
13
2015
Uncertainty as to whether or not a system has a chaotic attractor. Zbl 1357.37065
Joglekar, Madhura; Ott, Edward; Yorke, James A.
1
2015
Predicting the statistics of wave transport through chaotic cavities by the random coupling model: a review and recent progress. Zbl 1456.78011
Gradoni, Gabriele; Yeh, Jen-Hao; Xiao, Bo; Antonsen, Thomas M.; Anlage, Steven M.; Ott, Edward
15
2014
Controlling systems that drift through a tipping point. Zbl 1374.37120
Nishikawa, Takashi; Ott, Edward
2
2014
Phase and amplitude dynamics in large systems of coupled oscillators: growth heterogeneity, nonlinear frequency shifts, and cluster states. Zbl 1323.34050
Shing Lee, Wai; Ott, Edward; Antonsen, Thomas M.
9
2013
Multiscale dynamics in communities of phase oscillators. Zbl 1331.34051
Anderson, Dustin; Tenzer, Ari; Barlev, Gilad; Girvan, Michelle; Antonsen, Thomas M.; Ott, Edward
8
2012
Continuum modeling of the equilibrium and stability of animal flocks. Zbl 1236.92076
Mecholsky, Nicholas A.; Ott, Edward; Antonsen, Thomas M. jun.; Guzdar, Parvez
1
2012
Comment on “Long time evolution of phase oscillator systems”. Zbl 1317.34064
Ott, Edward; Hunt, Brian R.; Antonsen, Thomas M.
27
2011
Dynamics and pattern formation in large systems of spatially-coupled oscillators with finite response times. Zbl 1317.34060
Lee, Wai Shing; Restrepo, Juan G.; Ott, Edward; Antonsen, Thomas M.
17
2011
The dynamics of network coupled phase oscillators: an ensemble approach. Zbl 1317.34049
Barlev, Gilad; Antonsen, Thomas M.; Ott, Edward
14
2011
Local synchronization in complex networks of coupled oscillators. Zbl 1317.34112
Stout, John; Whiteway, Matthew; Ott, Edward; Girvan, Michelle; Antonsen, Thomas M.
7
2011
Effects of network topology, transmission delays, and refractoriness on the response of coupled excitable systems to a stochastic stimulus. Zbl 1317.93184
Larremore, Daniel B.; Shew, Woodrow L.; Ott, Edward; Restrepo, Juan G.
5
2011
The stability of adaptive synchronization of chaotic systems. Zbl 1311.34098
Sorrentino, Francesco; Barlev, Gilad; Cohen, Adam B.; Ott, Edward
11
2010
Complex dynamics and synchronization of delayed-feedback nonlinear oscillators. Zbl 1204.34109
Murphy, Thomas E.; Cohen, Adam B.; Ravoori, Bhargava; Schmitt, Karl R. B.; Setty, Anurag V.; Sorrentino, Francesco; Williams, Caitlin R. S.; Ott, Edward; Roy, Rajarshi
8
2010
Obstacle and predator avoidance in a model for flocking. Zbl 1189.37100
Mecholsky, Nicholas A.; Ott, Edward; Antonsen, Thomas M. jun.
8
2010
Map model for synchronization of systems of many coupled oscillators. Zbl 1311.34071
Barlev, Gilad; Girvan, Michelle; Ott, Edward
6
2010
Controlling chaos using embedded unstable periodic orbits: the problem of optimal periodic orbits. Reprint of the 1997 hardback ed. Zbl 1222.37109
Hunt, Brian R.; Ott, Edward
1
2010
Long time evolution of phase oscillator systems. Zbl 1309.34059
Ott, Edward; Antonsen, Thomas M.
155
2009
Low dimensional description of Pedestrian-induced oscillation of the millennium bridge. Zbl 1311.37071
Abdulrehem, Mahmoud M.; Ott, Edward
16
2009
Using synchronization of chaos to identify the dynamics of unknown systems. Zbl 1317.34124
Sorrentino, Francesco; Ott, Edward
15
2009
Low dimensional behavior of large systems of globally coupled oscillators. Zbl 1309.34058
Ott, Edward; Antonsen, Thomas M.
274
2008
External periodic driving of large systems of globally coupled phase oscillators. Zbl 1309.34052
Antonsen, T. M.; Faghih, R. T.; Girvan, M.; Ott, E.; Platig, J.
27
2008
Echo phenomena in large systems of coupled oscillators. Zbl 1309.34060
Ott, Edward; Platig, John H.; Antonsen, Thomas M.; Girvan, Michelle
7
2008
Synchronization in large directed networks of coupled phase oscillators. Zbl 1144.37402
Restrepo, Juan G.; Ott, Edward; Hunt, Brian R.
37
2006
Emergence of synchronization in complex networks of interacting dynamical systems. Zbl 1130.37347
Restrepo, Juan G.; Ott, Edward; Hunt, Brian R.
8
2006
Power-law decay and self-similar distributions in stadium-type billiards. Zbl 1059.37026
Armstead, Douglas N.; Hunt, Brian R.; Ott, Edward
10
2004
Phase synchronization in a modulated chaotic laser array. Zbl 1060.78527
Deshazer, David J.; Breban, Romulus; Ott, Edward; Roy, Rajarshi
8
2004
Estimating the state of large spatio-temporally chaotic systems. Zbl 1209.37112
Ott, E.; Hunt, B. R.; Szunyogh, I.; Zimin, A. V.; Kostelich, E. J.; Corazza, M.; Kalnay, E.; Patil, D. J.; Yorke, J. A.
2
2004
Localized error bursts in estimating the state of spatiotemporal chaos. Zbl 1080.37027
Baek, Seung-Jong; Hunt, Brian R.; Szunyogh, Istvan; Zimin, Aleksey; Ott, Edward
1
2004
Lack of predictability in dynamical systems with drift: scaling of indeterminate saddle-node bifurcations. Zbl 1039.37027
Breban, Romulus; Nusse, Helena E.; Ott, Edward
3
2003
Chaos in dynamical systems. 2nd ed. Zbl 1006.37001
Ott, Edward
430
2002
The onset of synchronization in systems of globally coupled chaotic and periodic oscillators. Zbl 1008.37020
Ott, Edward; So, Paul; Barreto, Ernest; Antonsen, Thomas
10
2002
Three-dimensional optical billiard chaotic scattering. Zbl 0969.78541
Sweet, David; Zeff, Benjamin W.; Ott, Edward; Lathrop, Daniel P.
3
2001
Explosions of chaotic sets. Zbl 0959.37042
Robert, Carl; Alligood, Kathleen T.; Ott, Edward; Yorke, James A.
31
2000
Power spectrum of passive scalars in two-dimensional chaotic flows. Zbl 0983.76034
Yuan, Guo-Cheng; Nam, Keeyeol; Antonsen, Thomas M. jun.; Ott, Edward; Guzdar, Parvez N.
6
2000
Fractal dimension of higher-dimensional chaotic repellors. Zbl 0974.37016
Sweet, David; Ott, Edward
5
2000
Fractal basin boundaries in higher-dimensional chaotic scattering. Zbl 0949.37016
Sweet, David; Ott, Edward
5
2000
Stalactite basin structure of dynamical systems with transient chaos in an invariant manifold. Zbl 0978.37021
Dronov, Vasily; Ott, Edward
1
2000
Topology in chaotic scattering. Zbl 1369.37049
Sweet, David; Ott, Edward; Yorke, James A.
25
1999
The role of Lagrangian chaos in the creation of multifractal measures. Zbl 1009.76032
Ott, E.
1
1999
Border-collision bifurcations in the buck converter. Zbl 0952.94020
Yuan, Guohui; Banerjee, Soumitro; Ott, Edward; Yorke, James A.
49
1998
Anomalous diffusion in bounded temporally irregular flows. Zbl 0946.76091
Venkataramani, Shankar C.; Antonsen, Thomas M. jun.; Ott, Edward
7
1998
Vorticity generation by instabilities of chaotic fluid flows. Zbl 0941.76036
Reyl, Charles; Antonsen, Thomas M. jun.; Ott, Edward
5
1998
The dynamics of scroll wave filaments in the complex Ginzburg-Landau equation. Zbl 1194.35437
Gabbay, Michael; Ott, Edward; Guzdar, Parvez N.
4
1998
Outer tangency bifurcations of chaotic sets. Zbl 0986.37025
Robert, Carl; Alligood, Kathleen T.; Ott, Edward; Yorke, James A.
4
1998
Spiral wave dynamics in the complex Ginzburg-Landau equation with broken chiral symmetry. Zbl 0938.35072
Nam, Keeyeol; Ott, Edward; Gabbay, Michael; Guzdar, Parvez N.
3
1998
Unstable dimension variability: A source of nonhyperbolicity in chaotic systems. Zbl 0925.58048
Kostelich, Eric J.; Kan, Ittai; Ott, Edward; Yorke, James A.
31
1997
Targeting in Hamiltonian systems that have mixed regular/chaotic phase spaces. Zbl 0933.37035
Schroer, Christian G.; Ott, Edward
14
1997
The structure of spiral-domain patterns and shocks in the \(2\)D complex Ginzburg-Landau equation. Zbl 0938.35176
Bohr, Tomas; Huber, Greg; Ott, Edward
10
1997
Modeling fractal entrainment sets of tracers advected by chaotic temporally irregular fluid flows using random maps. Zbl 0925.76259
Jacobs, Joeri; Ott, Edward; Antonsen, Thomas; Yorke, James
6
1997
Lévy flights in fluid flows with no Kolmogorov-Arnold-Moser surfaces. Zbl 0982.76520
Venkataramani, Shankar C.; Antonsen, Thomas M. jun.; Ott, Edward
6
1997
Structure in the parameter dependence of order and chaos for the quadratic map. Zbl 0930.37016
Hunt, Brian R.; Ott, Edward
5
1997
Computing the measure of nonattracting chaotic sets. Zbl 0933.37050
Jacobs, Joeri; Ott, Edward; Grebogi, Celso
4
1997
The role of chaotic orbits in the determination of power spectra of passive scalars. Zbl 1027.76662
Antonsen, Thomas M. jun.; Fan, Zhencan; Ott, Edward; Garcia-Lopez, E.
42
1996
Wada basin boundaries in chaotic scattering. Zbl 0870.58069
Poon, Leon; Campos, José; Ott, Edward; Grebogi, Celso
37
1996
On-off intermittency: power spectrum and fractal properties of time series. Zbl 1194.37147
Venkataramani, Shankar C.; Antonsen, Thomas M. jun.; Ott, Edward; Sommerer, John C.
20
1996
Intermingled basins of attraction: uncomputability in a simple physical system. Zbl 0972.37550
Sommerer, John C.; Ott, Edward
11
1996
Power law wave number spectra of fractal particle distributions advected by flowing fluids. Zbl 1027.76665
Namenson, Arthur; Antonsen, Thomas M. jun.; Ott, Edward
3
1996
Spectral statistics for quantum chaos with ray splitting. Zbl 0972.81540
Oerter, R. N.; Ott, E.; Antonsen, T. M. jun.; So, P.
1
1996
Universal behavior of impact oscillators near grazing incidence. Zbl 1020.70506
Chin, Wai; Ott, Edward; Nusse, Helena E.; Grebogi, Celso
37
1995
Blowout bifurcations: Symmetry breaking of spatially symmetric chaotic states. Zbl 0829.60069
Ott, Edward; Sommerer, John C.; Antonsen, Thomas M. jun.; Venkataramani, Shankar
1
1995
The transition to chaotic attractors with riddled basins. Zbl 0820.58043
Ott, Edward; Alexander, J. C.; Kan, I.; Sommerer, J. C.; Yorke, J. A.
57
1994
Coping with chaos: analysis of chaotic data and the exploitation of chaotic systems. Zbl 0840.58001
39
1994
Characterization of sign singular measures. Zbl 1194.76070
Du, Yunson; Tél, Tamas; Ott, Edward
4
1994
Controlling chaos in a temporally irregular environment. Zbl 0825.93307
Ding, Mingzhou; Ott, Edward; Grebogi, Celso
3
1994
Chaos in dynamical systems. Zbl 0792.58014
Ott, Edward
516
1993
Scaling behavior of chaotic systems with riddled basins. Zbl 0972.37514
Ott, Edward; Sommerer, John C.; Alexander, James C.; Kan, Ittai; Yorke, James A.
39
1993
Estimating correlation dimension from a chaotic time series: When does plateau onset occur? Zbl 0803.58038
Ding, Mingzhou; Grebogi, Celso; Ott, Edward; Sauer, Tim; Yorke, James A.
31
1993
Growth rates for fast kinematic dynamo instabilities of chaotic fluid flows. Zbl 0789.76038
Du, Yunson; Ott, Edward
7
1993
Fractal dimensions of fast dynamo magnetic fields. Zbl 0786.58035
Du, Yunson; Ott, Edward
7
1993
Controlling chaotic dynamical systems. Zbl 1194.37140
Romeiras, Filipe J.; Grebogi, Celso; Ott, Edward; Dayawansa, W. P.
125
1992
Controlling chaos in high-dimensional systems. Zbl 0964.37502
Auerbach, Ditza; Grebogi, Celso; Ott, Edward; Yorke, James A.
52
1992
Using the sensitive dependence of chaos (the “butterfly effect”) to direct trajectories in an experimental chaotic system. Zbl 0969.37512
Shinbrot, Troy; Ditto, William; Grebogi, Celso; Ott, Edward; Spano, Mark; Yorke, James A.
25
1992
Quantum manifestations of chaotic scattering. Zbl 0969.81541
Lai, Ying-Cheng; Blümel, Reinhold; Ott, Edward; Grebogi, Celso
9
1992
Fractal dimension in nonhyperbolic chaotic scattering. Zbl 0968.37507
Lau, Yun-Tung; Finn, John M.; Ott, Edward
22
1991
Fractal distribution of floaters on a fluid surface and the transition to chaos for random maps. Zbl 0743.60118
Yu, Lei; Ott, Edward; Chen, Qi
17
1991
Controlling chaos. Zbl 0964.37501
Ott, Edward; Grebogi, Celso; Yorke, James A.
1990
Bifurcation to chaotic scattering. Zbl 0713.58039
Bleher, Siegfried; Grebogi, Celso; Ott, Edward
45
1990
Transition to chaos for random dynamical systems. Zbl 1050.37515
Yu, Lei; Ott, Edward; Chen, Qi
43
1990
Chaotic attractors on a 3-torus, and torus break-up. Zbl 0694.58029
Battelino, Peter M.; Grebogi, Celso; Ott, Edward; Yorke, James A.
15
1989
Quasiperiodic forcing and the observability of strange nonchaotic attractors. Zbl 1063.37520
Romeiras, Filipe J.; Bondeson, Anders; Ott, Edward; Antonsen, Thomas M. jun.; Grebogi, Celso
11
1989
Do steady fast magnetic dynamos exist? Zbl 0983.76521
Finn, John M.; Hanson, James D.; Kan, Ittai; Ott, Edward
2
1989
Chaotic flows and fast magnetic dynamos. Zbl 0656.76048
Finn, John M.; Ott, Edward
26
1988
Multiple coexisting attractors, basin boundaries and basic sets. Zbl 0668.58035
Battelino, Peter M.; Grebogi, Celso; Ott, Edward; Yorke, James A.; Yorke, Ellen D.
21
1988
Basic sets: Sets that determine the dimension of basin boundaries. Zbl 0674.58031
Grebogi, Celso; Nusse, Helena E.; Ott, Edward; Yorke, James A.
11
1988
Chaos, strange attractors, and fractal basin boundaries in nonlinear dynamics. Zbl 1226.37015
Grebogi, Celso; Ott, Edward; Yorke, James A.
64
1987
Basin boundary metamorphoses: Changes in accessible boundary orbits. Zbl 0613.58018
Grebogi, Celso; Ott, Edward; Yorke, James A.
55
1987
Quasiperiodically forced dynamical systems with strange nonchaotic attractors. Zbl 0612.58030
Romeiras, Filipe J.; Bondeson, Anders; Ott, Edward; Antonsen, Thomas M. jun.; Grebogi, Celso
27
1987
Markov tree model of transport in area-preserving maps. Zbl 0658.60144
Meiss, James D.; Ott, Edward
53
1986
Fractal basin boundaries. Zbl 0588.58033
McDonald, Steven W.; Grebogi, Celso; Ott, Edward; Yorke, James A.
168
1985
Attractors on an N-torus: Quasiperiodicity versus chaos. Zbl 0577.58023
Grebogi, Celso; Ott, Edward; Yorke, James A.
55
1985
...and 17 more Documents
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Cited by 6,273 Authors

75 Ott, Edward
59 Grebogi, Celso
43 Yorke, James Alan
40 Lai, Yingcheng
39 Kurths, Jürgen
35 Kapitaniak, Tomasz
35 Sanjuán, Miguel A. F.
29 Caldas, Iberê L.
29 Pikovsky, Arkady S.
28 Chen, Guanrong
28 Wang, Xingyuan
25 Park, Juhyun (Jessie)
25 Viana, Ricardo Luiz
24 Antonsen, Thomas M. jun.
24 Din, Qamar
24 Salarieh, Hassan
20 Alasty, Aria
20 Laing, Carlo R.
19 Prasad, Awadhesh
18 Bashkirtseva, Irina Adol’fovna
17 Aihara, Kazuyuki
17 Cao, Jinde
17 Jafari, Sajad
17 Zhang, Yongxiang
16 Chen, Lansun
16 Ryashko, Lev Borisovich
16 Yan, Jun-Juh
15 Bollt, Erik M.
15 Jiang, Jun
15 Omel’chenko, Oleh E.
15 Seoane, Jesús M.
15 Tél, Tamás
15 Zotos, Euaggelos E.
14 Baptista, Murilo S.
14 Bowong, Samuel
14 Jing, Zhujun
14 Lu, Junan
14 Rempel, Erico L.
14 Sprott, Julien Clinton
14 Xie, Jianhua
13 Chian, Abraham C.-L.
13 Feudel, Ulrike
13 Ghosh, Dibakar
13 Li, Xianfeng
13 Odibat, Zaid M.
12 Ashwin, Peter
12 Boccaletti, Stefano
12 Chu, Yandong
12 Gardini, Laura
12 Girvan, Michelle
12 Letellier, Christophe
12 Li, Denghui
12 Lucarini, Valerio
12 Meiss, James D.
12 Njah, Abdulahi Ndzi
12 Ouannas, Adel
12 Skardal, Per Sebastian
12 Xu, Wei
11 Ahn, Choon Ki
11 Ge, Zhengming
11 Ha, Seung-Yeal
11 Kim, Dohyun
11 Kuznetsov, Sergey P.
11 Lakshmanan, Muthusamy
11 Lin, Wei
11 Schöll, Eckehard
11 Sun, Ji Tao
11 Tian, Yuping
11 Yue, Yuan
10 Avrutin, Viktor
10 Banerjee, Soumitro
10 Elsadany, Abdelalim A.
10 Goldobin, Denis S.
10 Hong, Ling
10 Hunt, Brian R.
10 Oertel-Jäger, Tobias Hendrik
10 Liao, Tehlu
10 Mahmoud, Gamal M.
10 Martens, Erik Andreas
10 Morgul, Omer
10 Niu, Ben
10 Nusse, Helena Engelina
10 Osipov, Grigory V.
10 Pisarchik, Alexander N.
10 Rega, Giuseppe
10 Wagemakers, Alexandre
9 Anishchenko, Vadim Semenovich
9 Behnia, Sohrab
9 Chen, Shihua
9 Dana, Syamal Kumar
9 Danca, Marius-Florin
9 Daza, Alvar
9 di Bernardo, Mario
9 Guo, Rongwei
9 Kumar Upadhyay, Ranjit
9 Kuznetsov, Nikolay Vladimirovich
9 Liu, Zonghua
9 Lü, Jinhu
9 Moukam Kakmeni, F. M.
9 Olivar, Gerard
...and 6,173 more Authors
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Cited in 355 Serials

592 Chaos
538 Chaos, Solitons and Fractals
425 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
398 Physica D
282 Physics Letters. A
160 Communications in Nonlinear Science and Numerical Simulation
159 Nonlinear Dynamics
70 Applied Mathematics and Computation
53 Physica A
52 Journal of Statistical Physics
41 Journal of Fluid Mechanics
41 Physics of Fluids
33 Journal of the Franklin Institute
32 International Journal of Modern Physics B
32 Mathematical Problems in Engineering
32 Journal of Physics A: Mathematical and Theoretical
30 Physics Reports
30 SIAM Journal on Applied Dynamical Systems
27 Discrete Dynamics in Nature and Society
24 Mathematics and Computers in Simulation
22 Nonlinearity
22 Nonlinear Analysis. Real World Applications
21 Computers & Mathematics with Applications
21 Applied Mathematical Modelling
21 Journal of Nonlinear Science
20 Journal of Mathematical Physics
19 Communications in Mathematical Physics
19 Functional Analysis and its Applications
18 Journal of Difference Equations and Applications
17 Journal of Computational Physics
17 Neural Networks
17 Regular and Chaotic Dynamics
16 Journal of Vibration and Control
16 New Journal of Physics
16 Journal of Statistical Mechanics: Theory and Experiment
15 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
15 Journal of High Energy Physics
15 Discrete and Continuous Dynamical Systems. Series B
15 The European Physical Journal B. Condensed Matter and Complex Systems
14 Journal of Mathematical Analysis and Applications
14 Advances in Difference Equations
13 Celestial Mechanics and Dynamical Astronomy
13 Dynamical Systems
12 Modern Physics Letters B
12 Mathematical Biosciences
12 Applied Mathematics and Mechanics. (English Edition)
12 Fractals
12 Complexity
12 International Journal of Modern Physics C
12 Physical Review Letters
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11 Bulletin of Mathematical Biology
11 Automatica
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11 Discrete and Continuous Dynamical Systems
10 Journal of Differential Equations
10 Meccanica
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Systems & Control Letters
9 Biological Cybernetics
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9 Physical Review E. Third Series
9 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
8 Kybernetika
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8 Nonlinear Analysis. Hybrid Systems
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7 Abstract and Applied Analysis
7 Asian Journal of Control
6 Acta Mechanica
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6 Computational and Applied Mathematics
6 International Journal of Applied Mathematics and Computer Science
6 Chinese Journal of Physics (Taipei)
5 International Journal of Engineering Science
5 International Journal of Theoretical Physics
5 Wave Motion
5 International Journal of Circuit Theory and Applications
5 Proceedings of the American Mathematical Society
5 International Journal of Adaptive Control and Signal Processing
5 Journal of Mathematical Sciences (New York)
5 European Journal of Mechanics. B. Fluids
5 International Journal of Nonlinear Sciences and Numerical Simulation
5 Nonlinear Analysis. Modelling and Control
5 Advances in Complex Systems
5 International Journal of Biomathematics
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Geophysical and Astrophysical Fluid Dynamics
4 Transactions of the American Mathematical Society
...and 255 more Serials
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Cited in 58 Fields

2,514 Dynamical systems and ergodic theory (37-XX)
1,450 Ordinary differential equations (34-XX)
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520 Biology and other natural sciences (92-XX)
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177 Partial differential equations (35-XX)
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126 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
124 Difference and functional equations (39-XX)
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77 Operations research, mathematical programming (90-XX)
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