Search Results - "Kostelich, EJ"

Measuring intense rotation and dissipation in turbulent flows by Lathrop, Daniel P, Zeff, Benjamin W, Lanterman, Daniel D, McAllister, Ryan, Roy, Rajarshi, Kostelich, Eric J

“…Turbulent flows are highly intermittent-for example, they exhibit intense bursts of vorticity and strain. Kolmogorov theory describes such behaviour in the…”
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Unstable dimension variability: A source of nonhyperbolicity in chaotic systems by Kostelich, Eric J., Kan, Ittai, Grebogi, Celso, Ott, Edward, Yorke, James A.

“…The hyperbolicity or nonhyperbolicity of a chaotic set has profound implications for the dynamics on the set. A familiar mechanism causing nonhyperbolicity is…”
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Nonlinear deterministic modeling of highly varying loads by O'Neill-Carrillo, E., Heydt, G.T., Kostelich, E.J., Venkata, S.S., Sundaram, A.

“…Typically, the modeling of highly varying, nonlinear loads such as electric arc furnaces has involved stochastic techniques. This paper presents the use of…”
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The analysis of chaotic time-series data by Kostelich, Eric J.

“…This paper presents a brief survey of time-series analysis methods that are applicable to processes whose behavior can be described as low-dimensional chaos…”
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Estimating the state of large spatio-temporally chaotic systems by Ott, E., Hunt, B.R., Szunyogh, I., Zimin, A.V., Kostelich, E.J., Corazza, M., Kalnay, E., Patil, D.J., Yorke, J.A.

“…We consider the estimation of the state of a large spatio-temporally chaotic system from noisy observations and knowledge of a system model. Standard state…”
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Optimal targeting of chaos by Bollt, Erik M., kostelich, Eric J.

“…Standard graph theoretic algorithms are applied to chaotic dynamical systems to identify orbits that are optimal relative to a prespecified cost function. We…”
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Self-organization and chaos in a fluidized bed by Daw, CS, Finney, CE, Vasudevan, M, van Goor NA, Nguyen, K, Bruns, DD, Kostelich, EJ, Grebogi, C, Ott, E, Yorke, JA

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Plotting stable manifolds: error estimates and noninvertible maps by Kostelich, Eric J., Yorke, James A., You, Zhiping

“…A numerical procedure is described that can accurately compute the stable manifold of a saddle fixed point for a map of R 2, even if the map has no inverse…”
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Analyzing the dynamics of cellular flames by Palacios, Antonio, Armbruster, Dieter, Kostelich, Eric J., Stone, Emily

“…Video data from experiments on the dynamics of two-dimensional flames are analyzed. The Karhumen-Loéve (KL) analysis is used to identify the dominant spatial…”
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Analyses of transient chaotic time series by Dhamala, M, Lai, Y C, Kostelich, E J

“…We address the calculation of correlation dimension, the estimation of Lyapunov exponents, and the detection of unstable periodic orbits, from transient…”
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Bootstrap estimates of chaotic dynamics by Kostelich, E J

“…Bootstrap sampling is a nonparametric method for estimating the standard error of a statistic. This paper describes the application of bootstrap sampling to…”
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Adaptive targeting of chaos by Boccaletti, S., Farini, A., Kostelich, E. J., Arecchi, F. T.

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Noise reduction in chaotic time-series data: A survey of common methods by Kostelich, EJ, Schreiber, T

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Characterization of an experimental strange attractor by periodic orbits by LATHROP, D. P, KOSTELICH, E. J

“…We describe a general procedure to locate periodic saddle orbits in a chaotic attractor reconstructed from experimental data. The method is applied to data…”
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Detectability of dynamical coupling from delay-coordinate embedding of scalar time series by Lai, Ying-Cheng, Kostelich, Eric J

“…We address under what conditions dynamical coupling between chaotic systems can be detected reliably from scalar time series. In particular, we study weakly…”
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Noise reduction in dynamical systems by Kostelich, EJ, Yorke, JA

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Practical considerations in estimating dimension from time series data by Kostelich, Eric J, Swinney, Harry L

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Universal and nonuniversal features in shadowing dynamics of nonhyperbolic chaotic systems with unstable-dimension variability by Do, Younghae, Lai, Ying-Cheng, Liu, Zonghua, Kostelich, Eric J

“…An important quantity characterizing the shadowability of computer-generated trajectories in nonhyperbolic chaotic system is the shadowing time, which measures…”
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Perturbed on-off intermittency by Marthaler, D, Armbruster, D, Lai, Y C, Kostelich, E J

“…A basic requirement for on-off intermittency to occur is that the system possesses an invariant subspace. We address how on-off intermittency manifests itself…”
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Reply to “Comment on ‘Intermittency in chaotic rotations’ ” by Lai, Ying-Cheng, Armbruster, Dieter, Kostelich, Eric J.

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