Using network function to define and identify community structure (2009)
Chauhan, Sanjeev, Girvan, Michelle, Ott, Edward
We investigate a functional definition of community structure in complex networks. In particular, we consider networks whose function is enhanced by the ability to synchronize and/or by resilience to...
The stability of adaptive synchronization of chaotic systems (2009)
Sorrentino, Francesco, Barlev, Gilad, Cohen, Adam B., Ott, Edward
In past works, various schemes for adaptive synchronization of chaotic systems have been proposed. The stability of such schemes is central to their utilization. As an example addressing this issue,...
Using synchronization of chaos to identify the dynamics of unknown systems (2009)
Sorrentino, Francesco, Ott, Edward
We address the issue of how to identify the equations of a largely unknown chaotic system from knowledge about its state evolution. The technique can be applied to the estimation of parameters that...
Determination of universal and non-universal properties of wave chaotic scattering systems (2009)
Yeh, Jen-Hao, Hart, James A., Bradshaw, Elliott, Antonsen, Thomas M., Ott, Edward, Anlage, Steven M.
Random matrix theory well describes the statistical properties of wave systems with chaotic classical limits in many situations. However, its applications to scattering problems require introduction...
Complex Dynamics and Synchronization of Delayed-Feedback Nonlinear Oscillators (2009)
Murphy, Thomas E., Cohen, Adam B., Ravoori, Bhargava, Schmitt, Karl R. B., Setty, Anurag V., Sorrentino, Francesco, ...
We describe a flexible and modular delayed-feedback nonlinear oscillator that is capable of generating a wide range of dynamical behaviours, from periodic oscillations to high-dimensional chaos. The...
Adaptive synchronization of coupled chaotic oscillators (2009)
Ravoori, Bhargava, Cohen, Adam B., Setty, Anurag V., Sorrentino, Francesco, Murphy, Thomas E., Ott, Edward, ...
We experimentally demonstrate and numerically simulate a new adaptive method to maintain synchronization between coupled nonlinear chaotic oscillators, when the coupling between the systems is...
The effect of short ray trajectories on the scattering statistics of wave chaotic systems (2009)
Hart, James A., Antonsen, Thomas M., Ott, Edward
In many situations, the statistical properties of wave systems with chaotic classical limits are well-described by random matrix theory. However, applications of random matrix theory to scattering...
Obstacle and predator avoidance by a flock (2009)
Mecholsky, Nicholas A., Ott, Edward, Antonsen Jr, Thomas M.
The modeling and investigation of the dynamics and configurations of animal groups is a subject of growing attention. In this paper, we present a continuum model of flocking and use it to investigate...
Frequency adaptation of coupled oscillator systems in a noisy environment (2009)
Taylor, Dane, Ott, Edward, Restrepo, Juan G.
We study the synchronization of Kuramoto oscillators in the presence of slow, noisy frequency adaptation. By assuming a self-consistent steady state solution, we find that a regime characterized by...
Lee, Wai Shing, Ott, Edward, Antonsen, Thomas M.
In order to discover generic effects of heterogeneous communication delays on the dynamics of large systems of coupled oscillators, this paper studies a modification of the Kuramoto model...
Long Time Evolution of Phase Oscillator Systems (2009)
Ott, Edward, Antonsen, Thomas M.
It is shown, under weak conditions, that the dynamical evolution of an important class of large systems of globally coupled, heterogeneous frequency, phase oscillators is, in an appropriate physical...
The effect of network topology on the stability of discrete state models of genetic control (2009)
Pomerance, Andrew, Ott, Edward, Girvan, Michelle, Losert, Wolfgang
Boolean networks have been proposed as potentially useful models for genetic control. An important aspect of these networks is the stability of their dynamics in response to small perturbations....
A Sensor Based on Extending the Concept of Fidelity to Classical Waves (2008)
Taddese, Biniyam Tesfaye, Hart, James, Antonsen, Thomas M., Ott, Edward, Anlage, Steven M.
We propose and demonstrate a remote sensor scheme by applying the quantum mechanical concept of fidelity loss to classical waves. The sensor makes explicit use of time-reversal invariance and spatial...
Using synchronism of chaos for adaptive learning of network topology (2008)
Sorrentino, Francesco, Ott, Edward
In this paper we consider networks of dynamical systems that evolve in synchrony and investigate how dynamical information from the synchronization dynamics can be effectively used to learn the...
Scattering a pulse from a chaotic cavity: Transitioning from algebraic to exponential decay (2008)
Hart, James A., Antonsen Jr., Thomas M., Ott, Edward, Anlage, Stephen M.
The ensemble averaged power scattered in and out of lossless chaotic cavities decays as a power law in time for large times. In the case of a pulse with a finite duration, the power scattered from a...
Low Dimensional Description of Pedestrian-Induced Oscillation of the Millennium Bridge (2008)
Abdulrehem, Mahmoud M., Ott, Edward
When it opened to pedestrian traffic in the year 2000, London's Millennium Bridge exhibited an unwanted, large, side-to-side oscillation which was apparently due to a resonance between the stepping...
Echo Phenomena in Large Systems of Coupled Oscillators (2008)
Ott, Edward, Platig, John H., Antonsen, Thomas M., Girvan, Michelle
As exemplified by the Kuramoto model, large systems of coupled oscillators may undergo a transition to phase coherence with increasing coupling strength. It is shown that below the critical coupling...
Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators (2008)
Ott, Edward, Antonsen, Thomas M.
It is shown that, in the infinite size limit, certain systems of globally coupled phase oscillators display low dimensional dynamics. In particular, we derive an explicit finite set of nonlinear...
MODELING CONGESTED INTERNET CONNECTIONS (2008)
Ian Frommer, Brian Hunt, Ryan Lance, Edward Ott, James Yorke
In this paper, we introduce a continuous-time model aimed at capturing the dynamics of congested Internet connections. The model combines a system of differential equations with a sudden change in...
Adaptive synchronization of dynamics on evolving complex networks (2008)
Sorrentino, Francesco, Ott, Edward
We study the problem of synchronizing a general complex network by means of an adaptive strategy in the case where the network topology is slowly time varying and every node receives at each time...
Network synchronization of groups (2007)
Sorrentino, Francesco, Ott, Edward
In this paper we study synchronized motions in complex networks in which there are distinct groups of nodes where the dynamical systems on each node within a group are the same but are different for...
John C. Sommerer, Edward Ott, Tamás Tél
be used to quantitatively model two-dimensional fluid flows. These results support the utility, under some circumstances, of low-degree-of-freedom approaches to the theoretically...
Pattern selection in extended periodically forced systems: A continuum coupled map approach (2007)
Shankar C. Venkataramani, Edward Ott
We propose that an useful approach to the modeling of periodically forced extended systems is through continuum coupled maps (CCMs). CCMs are discrete time, continuous space models, mapping a...
Pattern selection in extended periodically forced systems : A Continuum coupled map approach. (2007)
Shankar C. Venkataramani, Edward Ott
this paper, we will use a CCM model to examine the consequences of the interaction between temporal period doubling and spatial pattern formation with a preferred length scale. This work was...
Sporadically Fractal Basin Boundaries of Chaotic Systems (2007)
Brian R. Hunt, Edward Ott, Epaminondas Rosa
We demonstrate a new type of basin boundary for typical chaotic dynamical systems. For the case of a two dimensional map, this boundary has the character of the graph of a function that is smooth and...
Brian R. Hunt, Edward Ott, James A. Yorke
A formula, applicable to invertible maps of arbitrary dimensionality, is derived for the information dimensions of the natural measures of a nonattracting chaotic set and of its stable and unstable...
Barreto, Ernest, Hunt, Brian, Ott, Edward, So, Paul
The onset of synchronization in networks of networks is investigated. Specifically, we consider networks of interacting phase oscillators in which the set of oscillators is composed of several...
Approximating the largest eigenvalue of network adjacency matrices (2007)
Restrepo, Juan G., Ott, Edward, Hunt, Brian R.
The largest eigenvalue of the adjacency matrix of a network plays an important role in several network processes (e.g., synchronization of oscillators, percolation on directed networks, linear...
Estimating the State of Large Spatiotemporally Chaotic Systems (2007)
Cornick, Matthew, Hunt, Brian, Ott, Edward, Schatz, Michael F.
Data assimilation refers to the process of obtaining an estimate of a system's state using a model for the system's time evolution and a time series of measurements that are possibly noisy and...
Weighted percolation on directed networks (2007)
Restrepo, Juan G., Ott, Edward, Hunt, Brian R.
We present an analysis of the percolation transition for general node removal strategies valid for locally tree-like directed networks. On the basis of heuristic arguments we predict that, if the...
Dynamics on Complex Networks and Applications (2006)
Motter, Adilson E., Matias, Manuel A., Kurths, Juergen, Ott, Edward
At the eight-year anniversary of Watts & Strogatz's work on the collective dynamics of small-world networks and seven years after Barabasi & Albert's discovery of scale-free networks, the area of...
Dynamics on Complex Networks and Applications (Preface) (2006)
Motter, Adilson E., Matías, Manuel A., Kurths, Jürgen, Ott, Edward
Preface to Volume 224, Issues 1-2, Pages 1-214 (December 2006) of Physica D: Nonlinear Phenomena: "Dynamics on Complex Networks and Applications", edited by Adilson E. Motter, Manuel A. Matías,...
Hemmady, Sameer, Hart, James, Zheng, Xing, Antonsen Jr., Thomas M., Ott, Edward, Anlage, Steven M.
The mathematical equivalence of the time-independent Schrodinger equation and the Helmholtz equation is exploited to provide a novel means of studying universal conductance fluctuations in ballistic...
Delayed Feedback and Chaos on the Driven Diode-Terminated Transmission Line (2006)
Demergis, Vassili, Glasser, Alexander, Miller, Marshal, Antonsen Jr., Thomas M., Ott, Edward, Anlage, Steven M.
A simple model of a distributed, non-linear circuit that produces chaos at GHz frequencies is introduced and tested experimentally. The model circuit is a driven diode-terminated transmission line...
The emergence of coherence in complex networks of heterogeneous dynamical systems (2006)
Restrepo, Juan G., Ott, Edward, Hunt, Brian R.
We present a general theory for the onset of coherence in collections of heterogeneous maps interacting via a complex connection network. Our method allows the dynamics of the individual uncoupled...
Interaction of Intense Lasers and Relativistic Electron Beams with Solids, Gases and Plasmas (2006)
Ott, Edward, Liu, C. S., Grantstein, V. L.
The focus of the Maryland Program is to establish strong experimental and theoretical support for ongoing programs at NRL. Areas of research which are of mutual interest are pursued by members of the...
Hemmady, Sameer, Zheng, Xing, Hart, James, Antonsen Jr., Thomas M., Ott, Edward, Anlage, Steven M.
Statistical fluctuations in the eigenvalues of the scattering, impedance and admittance matrices of 2-Port wave-chaotic systems are studied experimentally using a chaotic microwave cavity. These...
Synchronization in large directed networks of coupled phase oscillators (2005)
Restrepo, Juan G., Ott, Edward, Hunt, Brian R.
We extend recent theoretical approximations describing the transition to synchronization in large undirected networks of coupled phase oscillators to the case of directed networks. We also consider...
Aspects of the Scattering and Impedance Properties of Chaotic Microwave Cavities (2005)
Hemmady, Sameer, Zheng, Xing, Antonsen Jr., Thomas M., Ott, Edward, Anlage, Steven M.
We consider the statistics of the impedance of a chaotic microwave cavity coupled to a single port. We remove the non-universal effects of the coupling from the experimental data using the radiation...
Scale dependence of branching in arterial and bronchial trees (2005)
Restrepo, Juan G., Ott, Edward, Hunt, Brian R.
Although models of branching in arterial and bronchial trees often predict a dependence of bifurcation parameters on the scale of the bifurcating vessels, direct verifications of this dependence with...
Zheng, Xing, Hemmady, Sameer, Antonsen Jr., Thomas M., Anlage, Steven M., Ott, Edward
In wave chaotic scattering, statistical fluctuations of the scattering matrix $S$ and the impedance matrix $Z$ depend both on universal properties and on nonuniversal details of how the scatterer is...
Intermittency in Two-Dimensional Turbulence with Drag (2005)
Tsang, Yue-Kin, Ott, Edward, Antonsen, Thomas M., Guzdar, Parvez N.
We consider the enstrophy cascade in forced two-dimensional turbulence with a linear drag force. In the presence of linear drag, the energy wavenumber spectrum drops with a power law faster than in...
Universal Statistics of the Scattering Coefficient of Chaotic Microwave Cavities (2005)
Hemmady, Sameer, Zheng, Xing, Antonsen Jr., Thomas M., Ott, Edward, Anlage, Steven M.
We consider the statistics of the scattering coefficient S of a chaotic microwave cavity coupled to a single port. We remove the non-universal effects of the coupling from the experimental S data...
Formation of Multifractal Population Patterns from Reproductive Growth and Local Resettlement (2005)
Ozik, Jonathan, Hunt, Brian R., Ott, Edward
We consider the general character of the spatial distribution of a population that grows through reproduction and subsequent local resettlement of new population members. We present several simple...
Electromagnetic and Finite Electron Beta Effects on the Modified Two Stream Instability, (2005)
When there is relative motion between electrons and ions across a magnetic field in a plasma, it has been shown theoretically that a modified two stream instability may develop. This instability has...
Theory and Simulation of Turbulent Heating by the Modified Two-Stream Instability. (2005)
McBride,John B., Ott,Edward, Boris,Jay P., Orens,Joseph H.
The authors present results of an analytical and numerical study of the nonresonant, modified plasma two-stream instability, which is driven by relative streaming of electrons and ions across a...
Low Frequency Parametric Instabilities of Magnetized Plasmas with Two Ion Species. (2005)
Ott,Edward, McBride,John B., Orens,Joseph H.
The authors present a theoretical and computer simulation treatment of the response of magnetized plasmas with two ion species to low frequency, electric fields oscillating at (Omega sub 0) near the...
Model Equations for Mode Coupling Saturation in Unstable Plasmas. (2005)
Ott,Edward, Manheimer,Wallace M., Book,David L., Boris,Jay P.
One of the simplest nonlinear effects which is capable of saturating the growth of a linearly unstable wave or spectrum of waves is resonant mode coupling. The process of resonant mode coupling is...
Turbulent Heating in Computer Simulations of the Modified Plasma Two-Stream Instability. (2005)
Ott,Edward, McBride,John B., Orens,Joseph H., Boris,Jay P.
Computer simulations of the fluid-like modified two-stream instability, driven by relative electron-ion drifts across a magnetic field, show strong anomalous plasma heating. The electron and ion...
Theory of Turbulent Plasma Heating by Anomalous Absorption of Magnetosonic Waves, (2005)
McBride,John B., Ott,Edward, Wagner,Carl E.
Theory and computer simulation experiments have shown the potential importance of the fluid-like, modified two stream instability as an ion heating mechanism in low beta plasmas. In order to take...
Manheimer,Wallace M., Ott,Edward
Motivated by the recent results of Friedman and Herndon the authors have investigated theoretically the stability of a waveguide enclosed relativistic electron beam in a rippled magnetic field. The...
Time-Dependent Slow-Time-Scale Theory of Free-Running and Phase-Locked Gyrotron Oscillators. (2005)
Fliflet, Arne W., Lee, Robert C., Manheimer, Wallace M., Ott, Edward
A time dependent slow time scale theory is developed for the analysis of high power, pulsed gyrotrons. Calculations are carried out to simulate the operation of a 35 GHz hig voltage gyrotron. Both...
Ott,Edward, Manheimer,Wallace M.
The stability of waveguide modes in a waveguide along which is propagated an unneutralized, intense beam of relativistic electrons guided by an applied axial magnetic field is considered. It is found...
Use of an Electron Beam for Preionization in the Z-Pinch Experiment. (2005)
In the Z-pinch experiment a discharge of several mega-amps is initiated along a preionized filament in high density hydrogen gas. As presently proposed the preionized filament will be created by a...
The onset of synchronization in large networks of coupled oscillators (2004)
Restrepo, Juan G., Hunt, Brian R., Ott, Edward
We study the transition from incoherence to coherence in large networks of coupled phase oscillators. We present various approximations that describe the behavior of an appropriately defined order...
Two Models for the Study of Congested Internet Connections (2004)
Frommer, Ian, Harder, Eric, Hunt, Brian, Lance, Ryan, Ott, Edward, Yorke, James
In this paper, we introduce two deterministic models aimed at capturing the dynamics of congested Internet connections. The first model is a continuous-time model that combines a system of...
Zheng, Xing, Antonsen Jr., Thomas M., Ott, Edward
The statistical model proposed in an accompanying paper is generalized to treat multiport scattering problems. Attention is first focused on two-port lossless systems and the model is shown to be...
Zheng, Xing, Antonsen Jr., Thomas M., Ott, Edward
We discuss a model for studying the statistical properties of the impedance ($Z$) and scattering ($S$) matrices of open electromagnetic cavities with several transmission lines or waveguides...
Desynchronization waves and localized instabilities in oscillator arrays (2004)
Restrepo, Juan G., Ott, Edward, Hunt, Brian R.
We consider a ring of identical or near identical coupled periodic oscillators in which the connections have randomly heterogeneous strength. We use the master stability function method to determine...
Universal Impedance Fluctuations in Wave Chaotic Systems (2004)
Hemmady, Sameer, Zheng, Xing, Ott, Edward, Antonsen, Thomas M., Anlage, Steven M.
We experimentally investigate theoretical predictions of universal impedance fluctuations in wave chaotic systems using a microwave analog of a quantum chaotic infinite square well potential. Our...
Spatial patterns of desynchronization bursts in networks (2004)
Restrepo, Juan G., Ott, Edward, Hunt, Brian R.
We adapt a previous model and analysis method (the {\it master stability function}), extensively used for studying the stability of the synchronous state of networks of identical chaotic oscillators,...
Scaling Properties of Saddle-Node Bifurcations on Fractal Basin Boundaries (2003)
Breban, Romulus, Nusse, Helena E., Ott, Edward
We analyze situations where a saddle-node bifurcation occurs on a fractal basin boundary. Specifically, we are interested in what happens when a system parameter is slowly swept in time through the...
Long Time Algebraic Relaxation in Chaotic Billiards (2002)
Armstead, D. N., Hunt, B. R., Ott, Edward
The long time algebraic relaxation process in spatially periodic billiards with infinite horizon is shown to display a self-similar time asymptotic form. This form is identical for a class of such...
Fractal Properties of Robust Strange Nonchaotic Attractors in Maps of Two or More Dimensions (2002)
Kim, Jong-Won, Kim, Sang-Yoon, Hunt, Brian, Ott, Edward
We consider the existence of robust strange nonchaotic attractors (SNA's) in a simple class of quasiperiodically forced systems. Rigorous results are presented demonstrating that the resulting...
Mechanism for the Intermittent Route to Strange Nonchaotic Attractors (2002)
Kim, Sang-Yoon, Lim, Woochang, Ott, Edward
Intermittent strange nonchaotic attractors (SNAs) appear typically in quasiperiodically forced period-doubling systems. As a representative model, we consider the quasiperiodically forced logistic...
We study the statistics and characteristics of rare intense events in two types of two dimensional Complex Ginzburg-Landau (CGL) equation based models. Our numerical simulations show finite amplitude...
The Onset of Synchronization in Systems of Globally Coupled Chaotic and Periodic Oscillators (2002)
Ott, Edward, So, Paul, Barreto, Ernest, Antonsen, Thomas
A general stability analysis is presented for the determination of the transition from incoherent to coherent behavior in an ensemble of globally coupled, heterogeneous, continuous-time dynamical...
Evolving Networks with Multi-species Nodes and Spread in the Number of Initial Links (2002)
Kim, Jong-Won, Hunt, Brian, Ott, Edward
We consider models for growing networks incorporating two effects not previously considered: (i) different species of nodes, with each species having different properties (such as different...
A Local Ensemble Kalman Filter for Atmospheric Data Assimilation (2002)
Ott, Edward, Hunt, Brian R., Szunyogh, Istvan, Zimin, Aleksey V., Kostelich, Eric J., Corazza, Matteo, ...
In this paper, we introduce a new, local formulation of the ensemble Kalman Filter approach for atmospheric data assimilation. Our scheme is based on the hypothesis that, when the Earth's surface is...
Parametric Decay of Intense Radiation into a Whistler Wave. (2002)
Klein,H. H., Manheimer,Wallace M., Ott,Edward
The parametric decay instability of a large amplitude extraordinary pump wave into a whistler wave and a backscattered extraordinary wave is investigated by computer simulation.
Marginal Stability Calculation of Electron Temperature Profiles in Tokamaks. (2002)
Manheimer,Wallace M., Chu,K. R., Ott,Edward, Boris,Jay P.
Electron temperature profiles, turbulence levels and anomalous transport are calculated for tokamak discharges using the hypothesis that the dissipative trapped electron instability drives the plasma...
Numerical and Analytical Studies of the Nonlinear Sausage Instability. (2002)
Book,David L., Lampe,Martin, Ott,Edward
Sausage instabilities of an incompressible, uniform, perfectly conducting Z pinch are studied in the nonlinear regime. In the long wavelength limit (analogous to the 'shallow water theory' of...
Tokamak Plasma Heating with Intense Pulsed Ion Beams. (2002)
Ott,Edward, Manheimer,Wallace M.
The recent availability of intense, space-charge-neutralized, energetic ion beams has led us to explore the possibility of using them for heating tokamak plasmas. The following key problems for this...
Stability of Trapped Electron Modes in Tokamaks with Elongated Cross Section. (2002)
Ott,Edward, Chu,K. R., Manheimer,Wallace M.
The trapped electron mode can be substantially stabilized on flux surfaces which are sufficiently vertically elongated (especially in high temperature regimes). (Author)
Shear Stabilization of Drift Waves in Noncircular Cross Section Axisymmetric Configurations. (2002)
Ott,Edward, Manheimer,Wallace M., Chu,K. R.
A calculation is given of the shear induced damping of drift waves for noncircular cross section axisymmetric devices in the electrostatic approximation. Comparison of damping rates for circular and...
Interaction of Electromagnetic Waves with a Moving Ionization Front. (2002)
This paper considers the problem of an electromagnetic wave packet incident on a relativistically moving plane ionization or recombination front separating a stationary neutral gas region from a...
The Effects of Cross-Sectional Elongation on Trapped Electron Modes. (2002)
Chu,K. R., Ott,Edward, Manheimer,Wallace M.
The dispersion relation for the trapped electron mode in noncircular cross-section tokamaks is formulated and evaluated. It is shown that modest reductions in the growth rate result from...
Theory of Electron Cyclotron Resonance Heating of Tokamak Plasmas. (2002)
Ott,Edward, Hui,Bertram, Chu,K. R.
A theoretical study of tokamak plasma heating by the electron cyclotron resonance is presented. The density limitations imposed by accessibility are first reviewed. Then the predictions of linear...
Stability of Beta Limited Thermonuclear Burn. (2002)
Ott,Edward, Manheimer,Wallace M.
The burn stability of a thermonuclear reacting plasma is examined under the assumption that a burn equilibrium exists due to the rapid increase of loss rate with plasma beta once a critical beta...
Spheromak Tilting Instability in Cylindrical Geometry. (2002)
Finn,John M., Manheimer,Wallace M., Ott,Edward
The compact torus, or spheromak, approach to magnetic fusion has numerous advantages as a reactor over tokamak designs. Most important of these are relative compactness, the fact that a toroidal...
The Cavity Q for Ergodic Eigenmodes (2002)
Ott, Edward, Manheimer, Wallace M.
We consider here the problem of calculating the Q of a very overmoded, (wavelength
Detecting Phase Synchronization in a Chaotic Laser Array (2001)
Breban, Romulus, DeShazer, David J., Ott, Edward, Roy, Rajarshi
Local Low Dimensionality of Atmospheric Dynamics (2001)
Hunt, Brian R., Kalnay, Eugenia, Ott, Edward, Patil, D. J., Yorke, James A.
Multiple Attractor Bifurcations: A Source of Unpredictability in Piecewise Smooth Systems (1999)
Dutta, Mitrajit, Nusse, Helena E., Ott, Edward, Yorke, James A.
There exists a variety of physically interesting situations described by continuous maps that are nondifferentiable on some surface in phase space. Such systems exhibit novel types of bifurcations in...
Ossakow,Sidney L., Ott,Edward, Haber,Irving
The nonlinear development of unstable whistler waves and their interaction with electrons in an anisotropic, collisionless, magnetospheric-type plasma is investigated by theory and computer...
Simulation of Gyroresonant Electron-Whistler Interactions in the Outer Radiation Belts. (1998)
Ossakow,Sidney L., Ott,Edward, Haber,Irving
The authors present results on computer simulation of whistler turbulence and velocity space diffusion in a magnetospheric-type plasma. This is an extension of previous work, where, here, the authors...
Book,D. L., Ott,Edward, Sulton,A. L.
The nonlinear evolution of the Rayleigh-Taylor instability in the long wavelength limit is investigated for an incompressible fluid supported against gravity (or inertial forces) by a massless fluid...
Parametric Instabilities Induced by the Coupling of High and Low Frequency Plasma Modes, (1998)
Manheimer,Wallace M., Ott,Edward
A general dispersion relation is derived for parametric instabilities caused by a large amplitude pump wave which couples high and low frequency modes of a magnetized plasma. The nonlinear effects...
The Effect of Trapping on the Saturation of the Raman Backscatter Instability. (1998)
Klein,H. H., Ott,Edward, Manheimer,Wallace
The criterion for whether the Raman backscatter instability saturates by electron trapping or by pump depletion is determined and tested by computer simulation. (Author)
Ott,Edward, Manheimer,Wallace M., Klein,H. H.
The collective processes which can occur in the outer regions of a laser fusion plasma are investigated theoretically and with numerical simulations. The most important processes are induced Compton...
Ott,Edward, Manheimer,Wallace M.
Three problems related to the effect of electrostatic trapping on dissipative trapped electron instabilities are investigated: (1) the linear theory of the dissipative trapped electron mode for the...
Mode Coupling Stabilization of the Dissipative Trapped Electron Instability. (1998)
Manheimer,Wallace M., Chu,K. R., Ott,Edward, Boris,Jay P., Callen,J. D.
The nonlinear theory of one-dimensional mode-coupling stabilization for the dissipative trapped electron instability is presented. This nonlinear process couples unstable modes at low wave number to...
Numerical Procedures for Analyzing Dynamical Processes. (1998)
Grebogi, Celso, Ott, Edward, Yorke, James A.
We are delivering a tape with a software package for UNIX workstations with documentation for analyzing low dimensional dynamical behavior from time series. In particular, the Lyapunov exponent code...
Information Transmission Using Chaos. (1998)
Hayes, Scott, Grebogi, Celso, Ott, Edward
The use of chaos to transmit information is described. Chaotic dynamical systems, such as electrical oscillators with very simple structures, naturally produce complex waveforms. We show that the...
Improving High Resolution, Geographically Localized, Short-Term Weather Forcasts (1998)
In this report we summarize the main concept and features of the LEKF (Section 2). We provide a brief summary of the results of our experiments with the global forecast models (Section 3) and the...
Tokamak Plasma Heating with Intense, Pulsed, Ion Beams. (1998)
Ott,Edward, Manheimer,Wallace M.
An intense, space-charge-neutralized, pulsed ion beam is used to heat a magnetically-confined plasma, such as a tokamak plasma, by injecting the ion beam into the plasma along a trajectory that is...
Shankar C. Venkataramani, Edward Ott
This paper examines the consequences of the interaction between temporal period doubling and spatial pattern formation. We propose a simple discrete time, spatially continuous system, where the...
Anomalous Diffusion in Bounded Temporally Irregular Flows (1997)
Shankar C. Venkataramani, Thomas M. Antonsen, Edward Ott
We investigate the longitudinal dispersion of passive tracers in a transversely bounded shear flow. The flow is assumed to be temporally irregular, but to possess smooth large scale spatial structure...
Optimal Periodic Orbits of Chaotic Systems (1996)
Invariant sets embedded in a chaotic attractor can generate time averages that differ from the average generated by typical orbits on the attractor. Motivated by two different topics (namely,...
Optimal periodic orbits of chaotic systems occur at low period, Phys (1996)
Invariant sets embedded in a chaotic attractor can generate time averages that differ from the average generated by typical orbits on the attractor. Motivated by two different topics (namely,...
The effect of network topology on the stability of discrete state models of genetic control
Pomerance, Andrew, Ott, Edward, Girvan, Michelle, Losert, Wolfgang
Boolean networks have been proposed as potentially useful models for genetic control. An important aspect of these networks is the stability of their dynamics in response to small perturbations....