Edward Ott
| Edward Ott | |
|---|---|
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| Born |
Edward Ott United States |
| Nationality | American |
| Fields | Physics, Electrical Engineering |
| Institutions | University of Maryland, College Park |
| Alma mater |
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Edward Ott is an American physicist most noted for his contributions to the development of chaos theory. Among his honors is the J. Edgar Lilienfeld Prize of the American Physical Society "For pioneering contributions in nonlinear dynamics and chaos theory that have been uniquely influential for physicists and scientists working in many fields...." .
Ott was born and grew up in New York City. He attended Stuyvesant High School, received his bachelor's degree in Electrical Engineering from The Cooper Union, and his Ph.D. in Electrophysics from The Polytechnic Institute of Brooklyn. Following receipt of his Ph.D. he was an NSF postdoctoral fellow in the Department of Applied Mathematics and Theoretical Physics of Cambridge University. He then joined the faculty of the Department of Electrical Engineering at Cornell University. Since 1979 he has been a faculty member jointly in the Department of Physics and the Department of Electrical Engineering at The University of Maryland, with the current titles of Distinguished University Professor, and Yuen Sang and Yuen Kit So Professor.
Research areas
Prior to his work on chaos and complex systems, Professor Ott had done extensive research in the field of plasma physics. His work on chaos theory and complex systems covers many areas. Some examples are the following:
- chaotic scattering (including the onset of chaotic scattering as a system parameter is varied and the characteristics of the accompanying fractal structure);
- fast magnetic dynamos in chaotic flows (addressing the origin of magnetic fields in planets, stars and galaxies);
- chaotic transport in Hamilton dynamical systems (in which an effective Markov model was introduced to study anomalous transport resulting from the complex scaling structure of proliferating KAM islands);
- fractal basin boundaries (demonstrating how they come about and how they present a barrier to prediction);
- communicating with chaos (in which it was shown that chaotic systems could be controlled to follow orbits whose time variation could be tailored to convey information);
- transitions of the dynamics of chaotic systems with variation of a system parameter (notably his work on "blow-out bifurcations" for systems with chaos on an invariant manifold [e.g., as in synchronization of chaotic systems] and his work introducing the concept of "crises" in which there are abrupt structural changes in chaotic dynamics characterized by scaling behavior of chaotic transients characterized by critical exponents);
- quantum chaos (e.g., his work on the effect of noise on the dynamical version of Anderson localization of the quantum evolution of classically chaotic kicked systems);
- weather forecasting (particularly his work devising new ways of assimilating measured data for state estimation of large spatiotemporally chaotic systems); and
- the dynamics of large networks of interacting units (e.g., the so-called Ott-Antonsen ansatz for analyzing systems of many interacting oscillators).
In what is perhaps Prof. Ott's most well-known contribution, he and his colleagues Celso Grebogi and James A. Yorke introduced the concept of controlling chaos. In particular, they have shown that dynamics on a chaotic attractor can be controlled by using only small perturbations. The key idea in this work is that embedded within a chaotic attractor there are typically an infinite number of unstable periodic orbits, any one of which can be stabilized by a small control (the O.G.Y. method), and that, by properly choosing which orbit to stabilize, enhanced performance can be achieved. As part of its 50th anniversary celebration, the journal, Physical Review Letters, selected this paper as one of its milestone publications.
Books
- Prof. Ott is the author of "Chaos in Dynamical Systems" designed for use as a textbook for graduate physics courses and as a reference for researchers in the field.
- He is also an editor of the book Coping with Chaos which is a collection of reprints that focuses on how scientists observe, quantify, and control chaos.
References
- S.Bleher, C.Grebogi, E.Ott, "Bifurcation to Chaotic Scattering," Physica D, v.45, p.87, 1990.
- J.M.Finn, E.Ott, "Chaotic Flows and Fast Magnetic Dynamos," Phys. Fluids, v.31, p.760, 1988.
- J.D.Meiss, E.Ott, "Markov-Tree Model of Intrinsic Transport in Hamiltonian Systems," Phys. Rev. Lett., v.55, p.2741, 1985.
- S.W.McDonald, C.Grebogi, E.Ott, J.A.Yorke, "Fractal Basin Boundaries," Physica D, v.17, p.125, 1985.
- S.Hayes, C.Grebogi, E.Ott, "Communicating with Chaos," Phys. Rev. Lett., v.70, p.3031, 1993.
- J.C.Sommerer, E.Ott, "Blowout Bifurcations," Phys. Lett. A, v.188, p.39, 1994; E.Ott et al., "The Transition to Chaotic Attractors with Riddled Basins," Physica D, v.376, p.384, 1984.
- C.Grebogi, E.Ott, J.A.Yorke, "Crises, Sudden Changes in Chaotic Attractors and Chaotic Transients," Physica D, v.7, p.181, 1983; C.Grebogi, E.Ott, F.Romeiras, J.A.Yorke, "Critical Exponents for Crisis Induced Intermittency," Phys.Rev. A, v.36, p.5365, 1987.
- E.Ott, T.M.Antonsen, J.D.Hanson, "The Effect of Noise on Time-Dependent Quantum Chaos," Phys. Rev. Lett., v.53, p.2187, 1984.
- E.Ott et al., "A Local Ensemble Kalman Filter for Atmospheric Data Assimilation," Tellus A, v.56, p.415, 2004.
- E.Ott, T.M.Antonsen, "Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators," Chaos, v.18, 037113, 2008; "Long-Time Evolution of Phase Oscillators," Chaos, v.19, 023117, 2009.
- E.Ott, C.Grebogi, J.A.Yorke, "Controlling Chaos," Phys. Rev. Lett., v.64, p. 1196, 1990; E.Ott , M.L.Spano, "Controlling Chaos," Physics Today, v.34, 1995.
- E.Ott, "Chaos in Dynamical Systems," Cambridge University Press, second edition, 2002.
External links
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