Edit Profile (opens in new tab) Ott, Edward Compute Distance To: Compute Author ID: ott.edward Published as: Ott, Edward; Ott, E. Homepage: http://www.chaos.umd.edu/personnel/ott.html External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 143 Publications since 1969, including 2 Books 1 Contribution as Editor Co-Authors: 127 Co-Authors with 137 Joint Publications 1,392 Co-Co-Authors all top 5 Co-Authors 5 single-authored 39 Antonsen, Thomas M. jun. 30 Yorke, James Alan 25 Grebogi, Celso 12 Girvan, Michelle 12 Hunt, Brian R. 6 Finn, John M. 5 Restrepo, Juan G. 5 Sommerer, John C. 4 Barlev, Gilad 4 Drobot, Adam T. 4 Guzdar, Parvez N. 4 Kan, Ittai 4 Manheimer, Wallace M. 4 So, Paul 4 Sweet, David 4 Venkataramani, Shankar C. 3 Barreto, Ernest 3 Chandra, Sarthak 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 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. 1 Nishikawa, Takashi ...and 33 more Co-Authors all top 5 Serials 34 Physica D 32 Chaos 24 Physics of Fluids 10 Physical Review Letters 7 Physics Letters. A 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Physics of Fluids 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 1 Nonlinearity 1 Reviews of Modern Physics 1 Wave Motion 1 Ergodic Theory and Dynamical Systems 1 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications 1 Journal of Physics A: Mathematical and General 1 Fractals 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Physica Scripta 1 Nature, London 1 Science all top 5 Fields 80 Dynamical systems and ergodic theory (37-XX) 38 Fluid mechanics (76-XX) 28 Ordinary differential equations (34-XX) 12 Systems theory; control (93-XX) 9 Mechanics of particles and systems (70-XX) 7 Optics, electromagnetic theory (78-XX) 6 Quantum theory (81-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Partial differential equations (35-XX) 4 Numerical analysis (65-XX) 4 Biology and other natural sciences (92-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 2 Measure and integration (28-XX) 2 Statistics (62-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 111 Publications have been cited 4,289 times in 3,425 Documents Cited by ▼ Year ▼ Controlling chaos. Zbl 0964.37501Ott, Edward; Grebogi, Celso; Yorke, James A. 1,268 1990 Chaos in dynamical systems. Zbl 0792.58014Ott, Edward 452 1993 Chaos in dynamical systems. 2nd ed. Zbl 1006.37001Ott, Edward 329 2002 Crises, sudden changes in chaotic attractors, and transient chaos. Zbl 0561.58029Grebogi, Celso; Ott, Edward; Yorke, James A. 243 1983 Low dimensional behavior of large systems of globally coupled oscillators. Zbl 1309.34058Ott, Edward; Antonsen, Thomas M. 185 2008 Strange attractors that are not chaotic. Zbl 0588.58036Grebogi, Celso; Ott, Edward; Pelikan, Steven; Yorke, James A. 130 1984 Fractal basin boundaries. Zbl 0588.58033McDonald, Steven W.; Grebogi, Celso; Ott, Edward; Yorke, James A. 118 1985 Long time evolution of phase oscillator systems. Zbl 1309.34059Ott, Edward; Antonsen, Thomas M. 106 2009 Controlling chaotic dynamical systems. Zbl 1194.37140Romeiras, Filipe J.; Grebogi, Celso; Ott, Edward; Dayawansa, W. P. 79 1992 Chaos, strange attractors, and fractal basin boundaries in nonlinear dynamics. Zbl 1226.37015Grebogi, Celso; Ott, Edward; Yorke, James A. 52 1987 The dimension of chaotic attractors. Zbl 0561.58032Farmer, J. Doyne; Ott, Edward; Yorke, James A. 51 1983 Strange attractors and chaotic motions of dynamical systems. Zbl 1114.37303Ott, Edward 50 1981 Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data. Zbl 1390.37138Pathak, Jaideep; Lu, Zhixin; Hunt, Brian R.; Girvan, Michelle; Ott, Edward 48 2017 Basin boundary metamorphoses: Changes in accessible boundary orbits. Zbl 0613.58018Grebogi, Celso; Ott, Edward; Yorke, James A. 47 1987 Border-collision bifurcations in the buck converter. Zbl 0952.94020Yuan, Guohui; Banerjee, Soumitro; Ott, Edward; Yorke, James A. 47 1998 Attractors on an N-torus: Quasiperiodicity versus chaos. Zbl 0577.58023Grebogi, Celso; Ott, Edward; Yorke, James A. 42 1985 Markov tree model of transport in area-preserving maps. Zbl 0658.60144Meiss, James D.; Ott, Edward 41 1986 The role of chaotic orbits in the determination of power spectra of passive scalars. Zbl 1027.76662Antonsen, Thomas M. jun.; Fan, Zhencan; Ott, Edward; Garcia-Lopez, E. 38 1996 The transition to chaotic attractors with riddled basins. Zbl 0820.58043Ott, Edward; Alexander, J. C.; Kan, I.; Sommerer, J. C.; Yorke, J. A. 37 1994 Bifurcation to chaotic scattering. Zbl 0713.58039Bleher, Siegfried; Grebogi, Celso; Ott, Edward 36 1990 Nonlinear theory of ion acoustic waves with Landau damping. Zbl 0193.58203Ott, E.; Sudan, R. N. 35 1969 Controlling chaos in high-dimensional systems. Zbl 0964.37502Auerbach, Ditza; Grebogi, Celso; Ott, Edward; Yorke, James A. 32 1992 Transition to chaos for random dynamical systems. Zbl 1050.37515Yu, Lei; Ott, Edward; Chen, Qi 31 1990 Wada basin boundaries in chaotic scattering. Zbl 0870.58069Poon, Leon; Campos, José; Ott, Edward; Grebogi, Celso 30 1996 Scaling behavior of chaotic systems with riddled basins. Zbl 0972.37514Ott, Edward; Sommerer, John C.; Alexander, James C.; Kan, Ittai; Yorke, James A. 30 1993 Universal behavior of impact oscillators near grazing incidence. Zbl 1020.70506Chin, Wai; Ott, Edward; Nusse, Helena E.; Grebogi, Celso 29 1995 Explosions of chaotic sets. Zbl 0959.37042Robert, Carl; Alligood, Kathleen T.; Ott, Edward; Yorke, James A. 29 2000 Bifurcation and ”strange” behavior in instability saturation by nonlinear three-wave mode coupling. Zbl 0446.76094Wersinger, J.-M.; Finn, J. M.; Ott, Edward 28 1980 Coping with chaos: analysis of chaotic data and the exploitation of chaotic systems. Zbl 0840.58001 28 1994 Synchronization in large directed networks of coupled phase oscillators. Zbl 1144.37402Restrepo, Juan G.; Ott, Edward; Hunt, Brian R. 27 2006 Chaotic flows and fast magnetic dynamos. Zbl 0656.76048Finn, John M.; Ott, Edward 24 1988 Estimating correlation dimension from a chaotic time series: When does plateau onset occur? Zbl 0803.58038Ding, Mingzhou; Grebogi, Celso; Ott, Edward; Sauer, Tim; Yorke, James A. 24 1993 External periodic driving of large systems of globally coupled phase oscillators. Zbl 1309.34052Antonsen, T. M.; Faghih, R. T.; Girvan, M.; Ott, E.; Platig, J. 23 2008 Comment on “Long time evolution of phase oscillator systems”. Zbl 1317.34064Ott, Edward; Hunt, Brian R.; Antonsen, Thomas M. 21 2011 Unstable dimension variability: A source of nonhyperbolicity in chaotic systems. Zbl 0925.58048Kostelich, Eric J.; Kan, Ittai; Ott, Edward; Yorke, James A. 21 1997 Multiple coexisting attractors, basin boundaries and basic sets. Zbl 0668.58035Battelino, Peter M.; Grebogi, Celso; Ott, Edward; Yorke, James A.; Yorke, Ellen D. 19 1988 Quasiperiodically forced dynamical systems with strange nonchaotic attractors. Zbl 0612.58030Romeiras, Filipe J.; Bondeson, Anders; Ott, Edward; Antonsen, Thomas M. jun.; Grebogi, Celso 17 1987 Fractal dimension in nonhyperbolic chaotic scattering. Zbl 0968.37507Lau, Yun-Tung; Finn, John M.; Ott, Edward 17 1991 Using the sensitive dependence of chaos (the “butterfly effect”) to direct trajectories in an experimental chaotic system. Zbl 0969.37512Shinbrot, Troy; Ditto, William; Grebogi, Celso; Ott, Edward; Spano, Mark; Yorke, James A. 17 1992 Using synchronization of chaos to identify the dynamics of unknown systems. Zbl 1317.34124Sorrentino, Francesco; Ott, Edward 15 2009 Is the dimension of chaotic attractors invariant under coordinate changes? Zbl 0588.58042Ott, E.; Withers, W. D.; Yorke, J. A. 15 1984 Defining chaos. Zbl 1374.37002Hunt, Brian R.; Ott, Edward 14 2015 Topology in chaotic scattering. Zbl 1369.37049Sweet, David; Ott, Edward; Yorke, James A. 14 1999 On-off intermittency: power spectrum and fractal properties of time series. Zbl 1194.37147Venkataramani, Shankar C.; Antonsen, Thomas M. jun.; Ott, Edward; Sommerer, John C. 14 1996 Dynamics and pattern formation in large systems of spatially-coupled oscillators with finite response times. Zbl 1317.34060Lee, Wai Shing; Restrepo, Juan G.; Ott, Edward; Antonsen, Thomas M. 14 2011 Low dimensional description of Pedestrian-induced oscillation of the millennium bridge. Zbl 1311.37071Abdulrehem, Mahmoud M.; Ott, Edward 14 2009 Targeting in Hamiltonian systems that have mixed regular/chaotic phase spaces. Zbl 0933.37035Schroer, Christian G.; Ott, Edward 14 1997 Fractal distribution of floaters on a fluid surface and the transition to chaos for random maps. Zbl 0743.60118Yu, Lei; Ott, Edward; Chen, Qi 13 1991 Super persistent chaotic transients. Zbl 0593.58021Grebogi, Celso; Ott, Edward; Yorke, James A. 12 1985 Dynamical transitions in large systems of mean field-coupled Landau-Stuart oscillators: extensive chaos and cluster states. Zbl 1374.34110Ku, Wai Lim; Girvan, Michelle; Ott, Edward 11 2015 Chaotic attractors on a 3-torus, and torus break-up. Zbl 0694.58029Battelino, Peter M.; Grebogi, Celso; Ott, Edward; Yorke, James A. 11 1989 The dynamics of network coupled phase oscillators: an ensemble approach. Zbl 1317.34049Barlev, Gilad; Antonsen, Thomas M.; Ott, Edward 11 2011 A scaling law: How an attractor’s volume depends on noise level. Zbl 0577.58024Ott, Edward; Yorke, Ellen D.; Yorke, James A. 10 1985 Modeling the network dynamics of pulse-coupled neurons. Zbl 1390.92010Chandra, Sarthak; Hathcock, David; Crain, Kimberly; Antonsen, Thomas M.; Girvan, Michelle; Ott, Edward 9 2017 Power-law decay and self-similar distributions in stadium-type billiards. Zbl 1059.37026Armstead, Douglas N.; Hunt, Brian R.; Ott, Edward 9 2004 Intermingled basins of attraction: uncomputability in a simple physical system. Zbl 0972.37550Sommerer, John C.; Ott, Edward 9 1996 Quasiperiodic forcing and the observability of strange nonchaotic attractors. Zbl 1063.37520Romeiras, Filipe J.; Bondeson, Anders; Ott, Edward; Antonsen, Thomas M. jun.; Grebogi, Celso 9 1989 Predicting the statistics of wave transport through chaotic cavities by the random coupling model: a review and recent progress. Zbl 1456.78011Gradoni, Gabriele; Yeh, Jen-Hao; Xiao, Bo; Antonsen, Thomas M.; Anlage, Steven M.; Ott, Edward 8 2014 Phase synchronization in a modulated chaotic laser array. Zbl 1060.78527Deshazer, David J.; Breban, Romulus; Ott, Edward; Roy, Rajarshi 8 2004 Obstacle and predator avoidance in a model for flocking. Zbl 1189.37100Mecholsky, Nicholas A.; Ott, Edward; Antonsen, Thomas M. jun. 8 2010 Structure and crises of fractal basin boundaries. Zbl 1177.37038McDonald, Steven W.; Grebogi, Celso; Ott, Edward; Yorke, James A. 8 1985 Complex dynamics and synchronization of delayed-feedback nonlinear oscillators. Zbl 1204.34109Murphy, 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 The stability of adaptive synchronization of chaotic systems. Zbl 1311.34098Sorrentino, Francesco; Barlev, Gilad; Cohen, Adam B.; Ott, Edward 8 2010 The onset of synchronization in systems of globally coupled chaotic and periodic oscillators. Zbl 1008.37020Ott, Edward; So, Paul; Barreto, Ernest; Antonsen, Thomas 8 2002 The structure of spiral-domain patterns and shocks in the \(2\)D complex Ginzburg-Landau equation. Zbl 0938.35176Bohr, Tomas; Huber, Greg; Ott, Edward 8 1997 Local synchronization in complex networks of coupled oscillators. Zbl 1317.34112Stout, John; Whiteway, Matthew; Ott, Edward; Girvan, Michelle; Antonsen, Thomas M. 7 2011 Echo phenomena in large systems of coupled oscillators. Zbl 1309.34060Ott, Edward; Platig, John H.; Antonsen, Thomas M.; Girvan, Michelle 7 2008 Multiscale dynamics in communities of phase oscillators. Zbl 1331.34051Anderson, Dustin; Tenzer, Ari; Barlev, Gilad; Girvan, Michelle; Antonsen, Thomas M.; Ott, Edward 7 2012 Phase and amplitude dynamics in large systems of coupled oscillators: growth heterogeneity, nonlinear frequency shifts, and cluster states. Zbl 1323.34050Shing Lee, Wai; Ott, Edward; Antonsen, Thomas M. 7 2013 Quantum manifestations of chaotic scattering. Zbl 0969.81541Lai, Ying-Cheng; Blümel, Reinhold; Ott, Edward; Grebogi, Celso 7 1992 Observing microscopic transitions from macroscopic bursts: instability-mediated resetting in the incoherent regime of the \(D\)-dimensional generalized Kuramoto model. Zbl 1474.70035Chandra, Sarthak; Ott, Edward 6 2019 Complexity reduction ansatz for systems of interacting orientable agents: beyond the Kuramoto model. Zbl 1415.34085Chandra, Sarthak; Girvan, Michelle; Ott, Edward 6 2019 Emergence of synchronization in complex networks of interacting dynamical systems. Zbl 1130.37347Restrepo, Juan G.; Ott, Edward; Hunt, Brian R. 6 2006 Anomalous diffusion in bounded temporally irregular flows. Zbl 0946.76091Venkataramani, Shankar C.; Antonsen, Thomas M. jun.; Ott, Edward 6 1998 Modeling fractal entrainment sets of tracers advected by chaotic temporally irregular fluid flows using random maps. Zbl 0925.76259Jacobs, Joeri; Ott, Edward; Antonsen, Thomas; Yorke, James 6 1997 Vorticity generation by instabilities of chaotic fluid flows. Zbl 0941.76036Reyl, Charles; Antonsen, Thomas M. jun.; Ott, Edward 5 1998 Basic sets: Sets that determine the dimension of basin boundaries. Zbl 0674.58031Grebogia, Celso; Nusse, Helena E.; Ott, Edward; Yorke, James A. 5 1988 Fractal dimensions of fast dynamo magnetic fields. Zbl 0786.58035Du, Yunson; Ott, Edward 5 1993 Growth rates for fast kinematic dynamo instabilities of chaotic fluid flows. Zbl 0789.76038Du, Yunson; Ott, Edward 5 1993 Map model for synchronization of systems of many coupled oscillators. Zbl 1311.34071Barlev, Gilad; Girvan, Michelle; Ott, Edward 5 2010 Effects of network topology, transmission delays, and refractoriness on the response of coupled excitable systems to a stochastic stimulus. Zbl 1317.93184Larremore, Daniel B.; Shew, Woodrow L.; Ott, Edward; Restrepo, Juan G. 4 2011 Structure in the parameter dependence of order and chaos for the quadratic map. Zbl 0930.37016Hunt, Brian R.; Ott, Edward 4 1997 Fractal basin boundaries in higher-dimensional chaotic scattering. Zbl 0949.37016Sweet, David; Ott, Edward 4 2000 Power spectrum of passive scalars in two-dimensional chaotic flows. Zbl 0983.76034Yuan, Guo-Cheng; Nam, Keeyeol; Antonsen, Thomas M. jun.; Ott, Edward; Guzdar, Parvez N. 4 2000 Frequency and phase synchronization in large groups: low dimensional description of synchronized clapping, firefly flashing, and cricket chirping. Zbl 1390.34096Ott, Edward; Antonsen, Thomas M. jun. 3 2017 The dynamics of scroll wave filaments in the complex Ginzburg-Landau equation. Zbl 1194.35437Gabbay, Michael; Ott, Edward; Guzdar, Parvez N. 3 1998 Characterization of sign singular measures. Zbl 1194.76070Du, Yunson; Tél, Tamas; Ott, Edward 3 1994 Chaotic (strange) and periodic behavior in instability saturation by the oscillating two-stream instability. Zbl 0484.76115Russell, David A.; Ott, Edward 3 1981 Spheromak tilting instability in cylindrical geometry. Zbl 0461.76110Finn, John M.; Manheimer, Wallace M.; Ott, Edward 3 1981 Three-dimensional, nonlinear evolution of the Rayleigh-Taylor instability of a thin layer. Zbl 0553.76097Manheimer, Wallace; Colombant, Denis; Ott, Edward 3 1984 Rayleigh-Taylor instability in the ’shallow-water’ approximation. Zbl 0331.76033Book, D. L.; Ott, Edward; Sulton, A. L. 3 1974 Fractal dimension of higher-dimensional chaotic repellors. Zbl 0974.37016Sweet, David; Ott, Edward 3 2000 Lévy flights in fluid flows with no Kolmogorov-Arnold-Moser surfaces. Zbl 0982.76520Venkataramani, Shankar C.; Antonsen, Thomas M. jun.; Ott, Edward 3 1997 Lack of predictability in dynamical systems with drift: scaling of indeterminate saddle-node bifurcations. Zbl 1039.37027Breban, Romulus; Nusse, Helena E.; Ott, Edward 3 2003 Power law wave number spectra of fractal particle distributions advected by flowing fluids. Zbl 1027.76665Namenson, Arthur; Antonsen, Thomas M. jun.; Ott, Edward 3 1996 Controlling systems that drift through a tipping point. Zbl 1374.37120Nishikawa, Takashi; Ott, Edward 2 2014 Computing the measure of nonattracting chaotic sets. Zbl 0933.37050Jacobs, Joeri; Ott, Edward; Grebogi, Celso 2 1997 Spiral wave dynamics in the complex Ginzburg-Landau equation with broken chiral symmetry. Zbl 0938.35072Nam, Keeyeol; Ott, Edward; Gabbay, Michael; Guzdar, Parvez N. 2 1998 Outer tangency bifurcations of chaotic sets. Zbl 0986.37025Robert, Carl; Alligood, Kathleen T.; Ott, Edward; Yorke, James A. 2 1998 Do steady fast magnetic dynamos exist? Zbl 0983.76521Finn, John M.; Hanson, James D.; Kan, Ittai; Ott, Edward 2 1989 Observing microscopic transitions from macroscopic bursts: instability-mediated resetting in the incoherent regime of the \(D\)-dimensional generalized Kuramoto model. Zbl 1474.70035Chandra, Sarthak; Ott, Edward 6 2019 Complexity reduction ansatz for systems of interacting orientable agents: beyond the Kuramoto model. Zbl 1415.34085Chandra, Sarthak; Girvan, Michelle; Ott, Edward 6 2019 Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data. Zbl 1390.37138Pathak, Jaideep; Lu, Zhixin; Hunt, Brian R.; Girvan, Michelle; Ott, Edward 48 2017 Modeling the network dynamics of pulse-coupled neurons. Zbl 1390.92010Chandra, Sarthak; Hathcock, David; Crain, Kimberly; Antonsen, Thomas M.; Girvan, Michelle; Ott, Edward 9 2017 Frequency and phase synchronization in large groups: low dimensional description of synchronized clapping, firefly flashing, and cricket chirping. Zbl 1390.34096Ott, Edward; Antonsen, Thomas M. jun. 3 2017 Uncovering low dimensional macroscopic chaotic dynamics of large finite size complex systems. Zbl 1390.34100Skardal, Per Sebastian; Restrepo, Juan G.; Ott, Edward 1 2017 Defining chaos. Zbl 1374.37002Hunt, Brian R.; Ott, Edward 14 2015 Dynamical transitions in large systems of mean field-coupled Landau-Stuart oscillators: extensive chaos and cluster states. Zbl 1374.34110Ku, Wai Lim; Girvan, Michelle; Ott, Edward 11 2015 Uncertainty as to whether or not a system has a chaotic attractor. Zbl 1357.37065Joglekar, 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 1456.78011Gradoni, Gabriele; Yeh, Jen-Hao; Xiao, Bo; Antonsen, Thomas M.; Anlage, Steven M.; Ott, Edward 8 2014 Controlling systems that drift through a tipping point. Zbl 1374.37120Nishikawa, Takashi; Ott, Edward 2 2014 Phase and amplitude dynamics in large systems of coupled oscillators: growth heterogeneity, nonlinear frequency shifts, and cluster states. Zbl 1323.34050Shing Lee, Wai; Ott, Edward; Antonsen, Thomas M. 7 2013 Multiscale dynamics in communities of phase oscillators. Zbl 1331.34051Anderson, Dustin; Tenzer, Ari; Barlev, Gilad; Girvan, Michelle; Antonsen, Thomas M.; Ott, Edward 7 2012 Continuum modeling of the equilibrium and stability of animal flocks. Zbl 1236.92076Mecholsky, Nicholas A.; Ott, Edward; Antonsen, Thomas M. jun.; Guzdar, Parvez 1 2012 Comment on “Long time evolution of phase oscillator systems”. Zbl 1317.34064Ott, Edward; Hunt, Brian R.; Antonsen, Thomas M. 21 2011 Dynamics and pattern formation in large systems of spatially-coupled oscillators with finite response times. Zbl 1317.34060Lee, Wai Shing; Restrepo, Juan G.; Ott, Edward; Antonsen, Thomas M. 14 2011 The dynamics of network coupled phase oscillators: an ensemble approach. Zbl 1317.34049Barlev, Gilad; Antonsen, Thomas M.; Ott, Edward 11 2011 Local synchronization in complex networks of coupled oscillators. Zbl 1317.34112Stout, 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 1317.93184Larremore, Daniel B.; Shew, Woodrow L.; Ott, Edward; Restrepo, Juan G. 4 2011 Obstacle and predator avoidance in a model for flocking. Zbl 1189.37100Mecholsky, Nicholas A.; Ott, Edward; Antonsen, Thomas M. jun. 8 2010 Complex dynamics and synchronization of delayed-feedback nonlinear oscillators. Zbl 1204.34109Murphy, 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 The stability of adaptive synchronization of chaotic systems. Zbl 1311.34098Sorrentino, Francesco; Barlev, Gilad; Cohen, Adam B.; Ott, Edward 8 2010 Map model for synchronization of systems of many coupled oscillators. Zbl 1311.34071Barlev, Gilad; Girvan, Michelle; Ott, Edward 5 2010 Controlling chaos using embedded unstable periodic orbits: the problem of optimal periodic orbits. Reprint of the 1997 hardback ed. Zbl 1222.37109Hunt, Brian R.; Ott, Edward 1 2010 Long time evolution of phase oscillator systems. Zbl 1309.34059Ott, Edward; Antonsen, Thomas M. 106 2009 Using synchronization of chaos to identify the dynamics of unknown systems. Zbl 1317.34124Sorrentino, Francesco; Ott, Edward 15 2009 Low dimensional description of Pedestrian-induced oscillation of the millennium bridge. Zbl 1311.37071Abdulrehem, Mahmoud M.; Ott, Edward 14 2009 Low dimensional behavior of large systems of globally coupled oscillators. Zbl 1309.34058Ott, Edward; Antonsen, Thomas M. 185 2008 External periodic driving of large systems of globally coupled phase oscillators. Zbl 1309.34052Antonsen, T. M.; Faghih, R. T.; Girvan, M.; Ott, E.; Platig, J. 23 2008 Echo phenomena in large systems of coupled oscillators. Zbl 1309.34060Ott, Edward; Platig, John H.; Antonsen, Thomas M.; Girvan, Michelle 7 2008 Synchronization in large directed networks of coupled phase oscillators. Zbl 1144.37402Restrepo, Juan G.; Ott, Edward; Hunt, Brian R. 27 2006 Emergence of synchronization in complex networks of interacting dynamical systems. Zbl 1130.37347Restrepo, Juan G.; Ott, Edward; Hunt, Brian R. 6 2006 Power-law decay and self-similar distributions in stadium-type billiards. Zbl 1059.37026Armstead, Douglas N.; Hunt, Brian R.; Ott, Edward 9 2004 Phase synchronization in a modulated chaotic laser array. Zbl 1060.78527Deshazer, David J.; Breban, Romulus; Ott, Edward; Roy, Rajarshi 8 2004 Estimating the state of large spatio-temporally chaotic systems. Zbl 1209.37112Ott, 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 1080.37027Baek, 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 1039.37027Breban, Romulus; Nusse, Helena E.; Ott, Edward 3 2003 Chaos in dynamical systems. 2nd ed. Zbl 1006.37001Ott, Edward 329 2002 The onset of synchronization in systems of globally coupled chaotic and periodic oscillators. Zbl 1008.37020Ott, Edward; So, Paul; Barreto, Ernest; Antonsen, Thomas 8 2002 Three-dimensional optical billiard chaotic scattering. Zbl 0969.78541Sweet, David; Zeff, Benjamin W.; Ott, Edward; Lathrop, Daniel P. 1 2001 Explosions of chaotic sets. Zbl 0959.37042Robert, Carl; Alligood, Kathleen T.; Ott, Edward; Yorke, James A. 29 2000 Fractal basin boundaries in higher-dimensional chaotic scattering. Zbl 0949.37016Sweet, David; Ott, Edward 4 2000 Power spectrum of passive scalars in two-dimensional chaotic flows. Zbl 0983.76034Yuan, Guo-Cheng; Nam, Keeyeol; Antonsen, Thomas M. jun.; Ott, Edward; Guzdar, Parvez N. 4 2000 Fractal dimension of higher-dimensional chaotic repellors. Zbl 0974.37016Sweet, David; Ott, Edward 3 2000 Stalactite basin structure of dynamical systems with transient chaos in an invariant manifold. Zbl 0978.37021Dronov, Vasily; Ott, Edward 1 2000 Topology in chaotic scattering. Zbl 1369.37049Sweet, David; Ott, Edward; Yorke, James A. 14 1999 Border-collision bifurcations in the buck converter. Zbl 0952.94020Yuan, Guohui; Banerjee, Soumitro; Ott, Edward; Yorke, James A. 47 1998 Anomalous diffusion in bounded temporally irregular flows. Zbl 0946.76091Venkataramani, Shankar C.; Antonsen, Thomas M. jun.; Ott, Edward 6 1998 Vorticity generation by instabilities of chaotic fluid flows. Zbl 0941.76036Reyl, Charles; Antonsen, Thomas M. jun.; Ott, Edward 5 1998 The dynamics of scroll wave filaments in the complex Ginzburg-Landau equation. Zbl 1194.35437Gabbay, Michael; Ott, Edward; Guzdar, Parvez N. 3 1998 Spiral wave dynamics in the complex Ginzburg-Landau equation with broken chiral symmetry. Zbl 0938.35072Nam, Keeyeol; Ott, Edward; Gabbay, Michael; Guzdar, Parvez N. 2 1998 Outer tangency bifurcations of chaotic sets. Zbl 0986.37025Robert, Carl; Alligood, Kathleen T.; Ott, Edward; Yorke, James A. 2 1998 Unstable dimension variability: A source of nonhyperbolicity in chaotic systems. Zbl 0925.58048Kostelich, Eric J.; Kan, Ittai; Ott, Edward; Yorke, James A. 21 1997 Targeting in Hamiltonian systems that have mixed regular/chaotic phase spaces. Zbl 0933.37035Schroer, Christian G.; Ott, Edward 14 1997 The structure of spiral-domain patterns and shocks in the \(2\)D complex Ginzburg-Landau equation. Zbl 0938.35176Bohr, Tomas; Huber, Greg; Ott, Edward 8 1997 Modeling fractal entrainment sets of tracers advected by chaotic temporally irregular fluid flows using random maps. Zbl 0925.76259Jacobs, Joeri; Ott, Edward; Antonsen, Thomas; Yorke, James 6 1997 Structure in the parameter dependence of order and chaos for the quadratic map. Zbl 0930.37016Hunt, Brian R.; Ott, Edward 4 1997 Lévy flights in fluid flows with no Kolmogorov-Arnold-Moser surfaces. Zbl 0982.76520Venkataramani, Shankar C.; Antonsen, Thomas M. jun.; Ott, Edward 3 1997 Computing the measure of nonattracting chaotic sets. Zbl 0933.37050Jacobs, Joeri; Ott, Edward; Grebogi, Celso 2 1997 The role of chaotic orbits in the determination of power spectra of passive scalars. Zbl 1027.76662Antonsen, Thomas M. jun.; Fan, Zhencan; Ott, Edward; Garcia-Lopez, E. 38 1996 Wada basin boundaries in chaotic scattering. Zbl 0870.58069Poon, Leon; Campos, José; Ott, Edward; Grebogi, Celso 30 1996 On-off intermittency: power spectrum and fractal properties of time series. Zbl 1194.37147Venkataramani, Shankar C.; Antonsen, Thomas M. jun.; Ott, Edward; Sommerer, John C. 14 1996 Intermingled basins of attraction: uncomputability in a simple physical system. Zbl 0972.37550Sommerer, John C.; Ott, Edward 9 1996 Power law wave number spectra of fractal particle distributions advected by flowing fluids. Zbl 1027.76665Namenson, Arthur; Antonsen, Thomas M. jun.; Ott, Edward 3 1996 Universal behavior of impact oscillators near grazing incidence. Zbl 1020.70506Chin, Wai; Ott, Edward; Nusse, Helena E.; Grebogi, Celso 29 1995 Blowout bifurcations: Symmetry breaking of spatially symmetric chaotic states. Zbl 0829.60069Ott, Edward; Sommerer, John C.; Antonsen, Thomas M. jun.; Venkataramani, Shankar 1 1995 The transition to chaotic attractors with riddled basins. Zbl 0820.58043Ott, Edward; Alexander, J. C.; Kan, I.; Sommerer, J. C.; Yorke, J. A. 37 1994 Coping with chaos: analysis of chaotic data and the exploitation of chaotic systems. Zbl 0840.58001 28 1994 Characterization of sign singular measures. Zbl 1194.76070Du, Yunson; Tél, Tamas; Ott, Edward 3 1994 Controlling chaos in a temporally irregular environment. Zbl 0825.93307Ding, Mingzhou; Ott, Edward; Grebogi, Celso 1 1994 Chaos in dynamical systems. Zbl 0792.58014Ott, Edward 452 1993 Scaling behavior of chaotic systems with riddled basins. Zbl 0972.37514Ott, Edward; Sommerer, John C.; Alexander, James C.; Kan, Ittai; Yorke, James A. 30 1993 Estimating correlation dimension from a chaotic time series: When does plateau onset occur? Zbl 0803.58038Ding, Mingzhou; Grebogi, Celso; Ott, Edward; Sauer, Tim; Yorke, James A. 24 1993 Fractal dimensions of fast dynamo magnetic fields. Zbl 0786.58035Du, Yunson; Ott, Edward 5 1993 Growth rates for fast kinematic dynamo instabilities of chaotic fluid flows. Zbl 0789.76038Du, Yunson; Ott, Edward 5 1993 Controlling chaotic dynamical systems. Zbl 1194.37140Romeiras, Filipe J.; Grebogi, Celso; Ott, Edward; Dayawansa, W. P. 79 1992 Controlling chaos in high-dimensional systems. Zbl 0964.37502Auerbach, Ditza; Grebogi, Celso; Ott, Edward; Yorke, James A. 32 1992 Using the sensitive dependence of chaos (the “butterfly effect”) to direct trajectories in an experimental chaotic system. Zbl 0969.37512Shinbrot, Troy; Ditto, William; Grebogi, Celso; Ott, Edward; Spano, Mark; Yorke, James A. 17 1992 Quantum manifestations of chaotic scattering. Zbl 0969.81541Lai, Ying-Cheng; Blümel, Reinhold; Ott, Edward; Grebogi, Celso 7 1992 Fractal dimension in nonhyperbolic chaotic scattering. Zbl 0968.37507Lau, Yun-Tung; Finn, John M.; Ott, Edward 17 1991 Fractal distribution of floaters on a fluid surface and the transition to chaos for random maps. Zbl 0743.60118Yu, Lei; Ott, Edward; Chen, Qi 13 1991 Controlling chaos. Zbl 0964.37501Ott, Edward; Grebogi, Celso; Yorke, James A. 1,268 1990 Bifurcation to chaotic scattering. Zbl 0713.58039Bleher, Siegfried; Grebogi, Celso; Ott, Edward 36 1990 Transition to chaos for random dynamical systems. Zbl 1050.37515Yu, Lei; Ott, Edward; Chen, Qi 31 1990 Chaotic attractors on a 3-torus, and torus break-up. Zbl 0694.58029Battelino, Peter M.; Grebogi, Celso; Ott, Edward; Yorke, James A. 11 1989 Quasiperiodic forcing and the observability of strange nonchaotic attractors. Zbl 1063.37520Romeiras, Filipe J.; Bondeson, Anders; Ott, Edward; Antonsen, Thomas M. jun.; Grebogi, Celso 9 1989 Do steady fast magnetic dynamos exist? Zbl 0983.76521Finn, John M.; Hanson, James D.; Kan, Ittai; Ott, Edward 2 1989 Chaotic flows and fast magnetic dynamos. Zbl 0656.76048Finn, John M.; Ott, Edward 24 1988 Multiple coexisting attractors, basin boundaries and basic sets. Zbl 0668.58035Battelino, Peter M.; Grebogi, Celso; Ott, Edward; Yorke, James A.; Yorke, Ellen D. 19 1988 Basic sets: Sets that determine the dimension of basin boundaries. Zbl 0674.58031Grebogia, Celso; Nusse, Helena E.; Ott, Edward; Yorke, James A. 5 1988 Chaos, strange attractors, and fractal basin boundaries in nonlinear dynamics. Zbl 1226.37015Grebogi, Celso; Ott, Edward; Yorke, James A. 52 1987 Basin boundary metamorphoses: Changes in accessible boundary orbits. Zbl 0613.58018Grebogi, Celso; Ott, Edward; Yorke, James A. 47 1987 Quasiperiodically forced dynamical systems with strange nonchaotic attractors. Zbl 0612.58030Romeiras, Filipe J.; Bondeson, Anders; Ott, Edward; Antonsen, Thomas M. jun.; Grebogi, Celso 17 1987 Markov tree model of transport in area-preserving maps. Zbl 0658.60144Meiss, James D.; Ott, Edward 41 1986 Fractal basin boundaries. Zbl 0588.58033McDonald, Steven W.; Grebogi, Celso; Ott, Edward; Yorke, James A. 118 1985 Attractors on an N-torus: Quasiperiodicity versus chaos. Zbl 0577.58023Grebogi, Celso; Ott, Edward; Yorke, James A. 42 1985 Super persistent chaotic transients. Zbl 0593.58021Grebogi, Celso; Ott, Edward; Yorke, James A. 12 1985 A scaling law: How an attractor’s volume depends on noise level. Zbl 0577.58024Ott, Edward; Yorke, Ellen D.; Yorke, James A. 10 1985 Structure and crises of fractal basin boundaries. Zbl 1177.37038McDonald, Steven W.; Grebogi, Celso; Ott, Edward; Yorke, James A. 8 1985 Strange attractors that are not chaotic. Zbl 0588.58036Grebogi, Celso; Ott, Edward; Pelikan, Steven; Yorke, James A. 130 1984 ...and 11 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,068 Authors 53 Ott, Edward 41 Grebogi, Celso 32 Yorke, James Alan 29 Sanjuán, Miguel A. F. 28 Wang, Xingyuan 27 Lai, Yingcheng 25 Chen, Guanrong 25 Kurths, Jürgen 23 Salarieh, Hassan 22 Caldas, Iberê L. 19 Alasty, Aria 19 Antonsen, Thomas M. jun. 19 Kapitaniak, Tomasz 18 Park, Juhyun (Jessie) 18 Viana, Ricardo Luiz 17 Bashkirtseva, Irina Adol’fovna 17 Pikovsky, Arkady S. 16 Cao, Jinde 16 Din, Qamar 15 Laing, Carlo R. 15 Yan, Jun-Juh 15 Zotos, Euaggelos E. 14 Bollt, Erik M. 14 Jafari, Sajad 14 Jing, Zhujun 14 Prasad, Awadhesh 14 Rempel, Erico L. 14 Ryashko, Lev Borisovich 14 Tél, Tamás 13 Aihara, Kazuyuki 13 Chian, Abraham C.-L. 13 Seoane, Jesús M. 12 Girvan, Michelle 12 Jiang, Jun 12 Li, Xianfeng 12 Lu, Junan 12 Odibat, Zaid M. 12 Xie, Jianhua 12 Xu, Wei 11 Baptista, Murilo S. 11 Bowong, Samuel 11 Ghosh, Dibakar 11 Ha, Seung-Yeal 11 Njah, Abdulahi Ndzi 11 Omel’chenko, Oleh E. 11 Ouannas, Adel 11 Sprott, Julien Clinton 11 Zhang, Yongxiang 10 Ahn, Choon Ki 10 Ashwin, Peter 10 Boccaletti, Stefano 10 Chu, Yandong 10 Lakshmanan, Muthusamy 10 Liao, Tehlu 10 Mahmoud, Gamal M. 10 Nusse, Helena Engelina 9 Chen, Lansun 9 Feudel, Ulrike 9 Gardini, Laura 9 Kim, Dohyun 9 Kuznetsov, Sergey P. 9 Letellier, Christophe 9 Meiss, James D. 9 Olivar, Gerard 9 Rega, Giuseppe 9 Schöll, Eckehard 9 Speetjens, Michel F. M. 9 Sun, Ji Tao 9 Tian, Yuping 9 Yu, Pei 8 Avrutin, Viktor 8 Banerjee, Soumitro 8 Behnia, Sohrab 8 Chen, Shihua 8 Dana, Syamal Kumar 8 di Bernardo, Mario 8 Elsadany, Abdelalim A. 8 Ge, Zhengming 8 Guo, Rongwei 8 Hong, Ling 8 Hunt, Brian R. 8 Oertel-Jäger, Tobias Hendrik 8 Kooi, Bob W. 8 Krauskopf, Bernd 8 Kumar Upadhyay, Ranjit 8 Lenci, Stefano 8 Li, Denghui 8 Lucarini, Valerio 8 Niu, Ben 8 Osinga, Hinke Maria 8 Pham, Viet-Thanh 8 Savi, Marcelo Amorim 8 Thiffeault, Jean-Luc 8 Wolfrum, Matthias 8 Yue, Yuan 8 Zhang, Jiangang 7 Aguirre, Luis Antonio 7 Anishchenko, Vadim Semenovich 7 Batista, Antonio Marcos 7 Bick, Christian ...and 4,968 more Authors all top 5 Cited in 325 Serials 449 Chaos, Solitons and Fractals 441 Chaos 401 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 242 Physica D 153 Nonlinear Dynamics 119 Communications in Nonlinear Science and Numerical Simulation 81 Physics Letters. 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Mathematical, Physical and Engineering Sciences 15 Regular and Chaotic Dynamics 14 Advances in Difference Equations 13 Nonlinearity 13 Neural Networks 13 Dynamical Systems 13 Discrete and Continuous Dynamical Systems. Series B 12 Modern Physics Letters B 12 Journal of Computational Physics 12 Applied Mathematics and Mechanics. (English Edition) 12 Celestial Mechanics and Dynamical Astronomy 12 Complexity 12 International Journal of Modern Physics C 12 Physical Review Letters 11 Bulletin of Mathematical Biology 11 Fractals 10 Journal of Mathematical Analysis and Applications 10 Automatica 10 Journal of Computational and Applied Mathematics 10 Journal of Differential Equations 10 Nonlinear Analysis. Theory, Methods & Applications. 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Mathematical, Physical and Engineering Sciences 7 Biological Cybernetics 7 Mathematical Biosciences 7 Kybernetika 7 Acta Applicandae Mathematicae 7 Mathematical and Computer Modelling 7 Dynamics and Stability of Systems 7 Neural Computation 7 Journal of Mathematical Chemistry 7 Abstract and Applied Analysis 6 Acta Mechanica 6 Reviews of Modern Physics 6 Meccanica 6 Theoretical Population Biology 6 International Journal of Computer Mathematics 6 Computational and Applied Mathematics 6 International Journal of Applied Mathematics and Computer Science 6 The European Physical Journal B. Condensed Matter and Complex Systems 6 Journal of Physics A: Mathematical and Theoretical 5 International Journal of Control 5 Journal of Mathematical Biology 5 International Journal of Circuit Theory and Applications 5 Proceedings of the American Mathematical Society 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 Journal of Statistical Mechanics: Theory and Experiment 5 Asian Journal of Control 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 International Journal of Theoretical Physics 4 Mathematical Methods in the Applied Sciences 4 Wave Motion 4 Information Sciences 4 Transactions of the American Mathematical Society 4 Journal of Economic Dynamics & Control 4 International Journal of Adaptive Control and Signal Processing 4 Advances in Complex Systems 4 Journal of Biological Dynamics 4 Networks and Heterogeneous Media 4 Discrete and Continuous Dynamical Systems. Series S ...and 225 more Serials all top 5 Cited in 55 Fields 1,927 Dynamical systems and ergodic theory (37-XX) 1,138 Ordinary differential equations (34-XX) 891 Systems theory; control (93-XX) 402 Biology and other natural sciences (92-XX) 300 Mechanics of particles and systems (70-XX) 259 Fluid mechanics (76-XX) 157 Statistical mechanics, structure of matter (82-XX) 147 Numerical analysis (65-XX) 147 Information and communication theory, circuits (94-XX) 138 Partial differential equations (35-XX) 107 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 92 Computer science (68-XX) 91 Quantum theory (81-XX) 85 Difference and functional equations (39-XX) 69 Probability theory and stochastic processes (60-XX) 66 Measure and integration (28-XX) 66 Operations research, mathematical programming (90-XX) 57 Optics, electromagnetic theory (78-XX) 53 Statistics (62-XX) 53 Mechanics of deformable solids (74-XX) 31 Geophysics (86-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 22 Real functions (26-XX) 20 Relativity and gravitational theory (83-XX) 18 Combinatorics (05-XX) 18 Global analysis, analysis on manifolds (58-XX) 18 Astronomy and astrophysics (85-XX) 14 General and overarching topics; collections (00-XX) 13 General topology (54-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Operator theory (47-XX) 10 History and biography (01-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Classical thermodynamics, heat transfer (80-XX) 6 Number theory (11-XX) 6 Approximations and expansions (41-XX) 6 Differential geometry (53-XX) 5 Mathematical logic and foundations (03-XX) 5 Topological groups, Lie groups (22-XX) 5 Functions of a complex variable (30-XX) 5 Special functions (33-XX) 5 Integral equations (45-XX) 5 Functional analysis (46-XX) 4 Manifolds and cell complexes (57-XX) 3 Nonassociative rings and algebras (17-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Algebraic topology (55-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 Group theory and generalizations (20-XX) 2 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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