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236 results on '"Parlitz U"'

1. Mutual information rate and bounds for it

Author

Baptista, M. S., Rubinger, R. M., Junior, E. R. V., Sartorelli, J. C., Parlitz, U., and Grebogi, C.

Subjects
Nonlinear Sciences - Chaotic Dynamics
Abstract

The amount of information exchanged per unit of time between two nodes in a dynamical network or between two data sets is a powerful concept for analysing complex systems. This quantity, known as the mutual information rate (MIR), is calculated from the mutual information, which is rigorously defined only for random systems. Moreover, the definition of mutual information is based on probabilities of significant events. This work offers a simple alternative way to calculate the MIR in dynamical (deterministic) networks or between two data sets (not fully deterministic), and to calculate its upper and lower bounds without having to calculate probabilities, but rather in terms of well known and well defined quantities in dynamical systems. As possible applications of our bounds, we study the relationship between synchronisation and the exchange of information in a system of two coupled maps and in experimental networks of coupled oscillators.

Published
2011
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2. A hybrid model for chaotic front dynamics: From semiconductors to water tanks

Author

Amann, A., Peters, K., Parlitz, U., Wacker, A., and Schöll, E.

Subjects
Condensed Matter
Abstract

We present a general method for studying front propagation in nonlinear systems with a global constraint in the language of hybrid tank models. The method is illustrated in the case of semiconductor superlattices, where the dynamics of the electron accumulation and depletion fronts shows complex spatio-temporal patterns, including chaos. We show that this behavior may be elegantly explained by a tank model, for which analytical results on the emergence of chaos are available. In particular, for the case of three tanks the bifurcation scenario is characterized by a modified version of the one-dimensional iterated tent-map., Comment: 4 pages, 4 figures

Published
2003
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22. An ensemble framework for time delay synchronisation

Author

Pinheiro, F. R., Van Leeuwen, P. J., and Parlitz, U.

Abstract

Synchronisation theory is based on a method that tries to synchronise a model with the true evolution of a system via the observations. In practice, an extra term is added to the model equations that hampers growth of instabilities transversal to the synchronisation manifold. Therefore, there is a very close connection between synchronisation and data assimilation. Recently, synchronisation with time delayed observations has been proposed, in which observations at future times are used to help synchronise a system that does not synchronise using only present observations, with remarkable successes. Unfortunately, these schemes are limited to small-dimensional problems.\ud \ud In this paper, we lift that restriction by proposing ensemble-based synchronisation scheme. Tests were performed using Lorenz96 model for 20, 100 and 1000-dimension systems. Results show global synchronisation errors stabilising at values of at least an order of magnitude lower than the observation errors, suggesting that the scheme is a promising tool to steer model states to the truth. While this framework is not a complete data assimilation method, we develop this methodology as a potential choice for a proposal density in a more comprehensive data assimilation method, like a fully nonlinear particle filter.

Published
2018

26. On the use of specific signal types in hearing research

Author

Kohlrausch, A.G., Par, van de, S.L.J.D.E., Kurtz, T., Parlitz, U., Kaatze, U., and Human Technology Interaction

Abstract

In this contribution, we review a number of specific signal types that have been introduced in auditory research in the past 20 years. Through the introduction of digital computers into experimental and theoretical hearing research, the freedom to construct and use specific acoustic stimuli in behavorial and also physiological research has grown steadily. In parallel, the use of computer models allowed to analyze and predict, within certain limits,how specific properties of acoustic stimuli influence the perception of a listener. As in other fields of physics, the close interplay between experimental tests and quantitative models has been shown to be essential in advancing our understanding of human hearing.

Published
2007

28. Best Basic Science abstract

Author

Wagner, E., primary, Kohl, T., additional, Tuan, H. T. M., additional, Westphal, V., additional, Parlitz, U., additional, Luther, S., additional, Hell, S. W., additional, Jafri, M. S., additional, Lederer, W. J., additional, and Lehnart, S. E., additional

Published
2013
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33. Identification of pre-sliding friction dynamics

Author

Parlitz, U., primary, Hornstein, A., additional, Engster, D., additional, Al-Bender, F., additional, Lampaert, V., additional, Tjahjowidodo, T., additional, Fassois, S. D., additional, Rizos, D., additional, Wong, C. X., additional, Worden, K., additional, and Manson, G., additional

Published
2004
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36. Chaos control of an intracavity frequency-doubled Nd:YAG laser.

Author

Ahlborn, A. and Parlitz, U.

Subjects
*LASERS, *PHYSICAL sciences, *PHYSICS, *ELECTRONICS, *MATERIALS science, *LIGHT sources
Abstract

Chaotic intensity fluctuations of an intracavity frequency-doubled Nd:YAG laser are experimentally stabilized using Multiple Delay Feedback Control (MDFC) based on delayed feedback signals with two different delay times. © 2004 American Institute of Physics [ABSTRACT FROM AUTHOR]

Published
2004
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37. Is cavitation noise governed by a low-dimensional chaotic attractor?

Author

Luther, S., Sushchik, M., Parlitz, U., Akhatov, I., and Lauterborn, W.

Subjects
CAVITATION noise, NONLINEAR oscillations, NONLINEAR acoustics
Abstract

Using the example of periodically driven multi-bubble systems we demonstrate that it may be misleading to conclude from a successful low dimensional delay reconstruction that the underlying dynamical process is indeed governed by a low-dimensional attractor. [ABSTRACT FROM AUTHOR]

Published
2000

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