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Tent map

Related publications (14)

Correcting for non-periodic behaviour in perturbative experiments: application to heat pulse propagation and modulated gas-puff experiments

Federico Alberto Alfredo Felici, Cristian Galperti

This paper introduces a recent innovation in dealing with non-periodic behavior often referred to as transients in perturbative experiments. These transients can be the result from the unforced response due to the initial condition and other slow trends in ...

2020

Topographical instability of event-related potentials in P300 wave study

Vitaly Chicherov

Microstate analysis of ERP and EEG topographies reveals stable patterns of brain activity. Little is known about the changes from one stable state to another. During such changes significant topographic instabilities are observed together with low ERP fiel ...

2011

Noise induced temporal patterns in populations of globally coupled oscillators

Max-Olivier Hongler, Roger Filliger, Philippe Blanchard, Julio Rodriguez

The population dynamics of an assembly of globally coupled homogeneous phase oscillators is studied in presence of non-Gaussian fluctuations. The variance of the underlying stochastic process grows as t + \beta^2 t^2 ( \beta being a constant) and therefore ...

Shaker Verlag2009

A Point is Normal for Almost All Maps beta x+ alpha mod 1 or Generalised beta-Transformations

Charles Pfister, Bastien Faller

We consider the map T-alpha,T-beta(x) := beta x + alpha mod 1, which admits a unique probability measure of maximal entropy. For x is an element of [0, 1], we show that the orbit of x is mu(alpha,beta)-normal for almost all (alpha, beta) is an element of [ ...

Cambridge University Press2009

NMR microimaging of fluid flowin model string-type reactors

Lioubov Kiwi

Magnetic resonance microimaging (MRM) was employed to obtain quantitative velocity maps of water flowing in the channels possessing unconventional cross-section shapes formed by a bundle of parallel fibers within a tubular string-type reactor. The maps obt ...

2007

Belief Propagation Decoding for Codes Based on Discretized Chaotic Maps

Martin Hasler, Slobodan Kozic

In this paper a class of discretized piecewise linear chaotic maps of a very high dimensions are used for communication over a noisy channel. An information payload that is sent over a channel is controlled in the transmitter and is related to the symbolic ...

2006

Approximately periodic time series and nonlinear structures

In this thesis a previously developed framework for modelling diversity of approximately periodic time series is considered. In this framework the diversity is modelled deterministically, exploiting the irregularity of chaos. This is an alternative to othe ...

EPFL2005

Classification of chaotic sequences with open-loop estimator - Optimal design for noisy environments

Martin Hasler, Thomas Schimming

In this paper, an approach based on ergodic properties for classifying sequences is given. It is particularly robust due to the open loop structure of the detector. Unlike previous works in this direction, such as those concerning the inverse system approa ...

2004

Minimum distance properties of coded modulations based on iterated chaotic maps

Thomas Schimming, Slobodan Kozic, Kumiko Oshima

In this paper we introduce a method for analyzing the performance of coded modulation schemes based on iterated chaotic maps. In particular, it is known from coding theory that the minimum distance plays an important role, defining the behavior of the erro ...

2003

Chaotic map perturbation control trellis coded modulation

Martin Hasler, Thomas Schimming

In this paper, the authors examine the use of chaotic systems based on the iteration of 1-D and 2-D piecewise linear chaotic maps in a coded modulation scheme. In the proposed scheme, the transmitted information is imposed on the dynamics of the chaotic sy ...

2003

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