Concept

Baker's map

Related publications (10)

Higher-order organization of multivariate time series

Time series analysis has proven to be a powerful method to characterize several phenomena in biology, neuroscience and economics, and to understand some of their underlying dynamical features. Several methods have been proposed for the analysis of multivar ...

NATURE PORTFOLIO2023

Learning Physics-Consistent Particle Interactions

Olga Fink, David Simon Kammer, Zhichao Han

Interacting particle systems play a key role in science and engineering. Access to the governing particle interaction law is fundamental for a complete understanding of such systems. However, the inherent system complexity keeps the particle interaction hi ...

Oxford University Press2023

Feedback Control Design Maximizing the Region of Attraction of Stochastic Systems Using Polynomial Chaos Expansion

Petr Listov

A feedback control design is proposed for stochastic systems with finite second moment which aims at maximising the region of attraction of the equilibrium point. Polynomial Chaos (PC) expansions are employed to represent the stochastic closed loop system ...

2020

Solving Stochastic Ordinary Differential Equations by Monte Carlo and Polynomial Chaos

Gilles Brunner

In this project, we study and compare two methods to solve stochastic ordinary differential equations. The first is the Monte Carlo method and the second uses Polynomial Chaos. In the first part, we will solve a stochastic ordinary differential equation by ...

2013

Coded Modulation Based on Higher Dimensional Chaotic Maps

Thomas Schimming, Slobodan Kozic

In this paper we examine coded modulations based on iterations of higher dimensional piece-wise linear maps(PWLM). Particulary, we study a generalization of the Bernoulli map in higher dimensions and its application to communications. In the proposed schem ...

2005

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

Potential of chaos communication over noisy channels - Channel coding using chaotic piecewise linear maps

Martin Hasler, Thomas Schimming

The paper gives an information theoretic analysis of the potential of chaos in digital communication schemes, underlining that there is no fundamental principle that speaks against the use of chaotic systems in digital communications. The channel model con ...

2002

Synchronization of two-dimensional chaotic systems by the transmission of state information

Martin Hasler

Chaotic synchronization is treated within the framework of information theory. It is shown that information theory implies fundamental limits to chaotic synchronization in the presence of channel noise. With regard for these limits, a scheme is suggested f ...

2001

Modeling diversity by strange attractors with application to temporal pattern recognition

Oscar De Feo

This thesis belongs to the general discipline of establishing black-box models from real-word data, more precisely, from measured time-series. This is an old subject and a large amount of papers and books has been written about it. The main difficulty is t ...

EPFL2001

Synchronization of two-dimensional chaotic dynamic systems by the transmission of state information

Martin Hasler

2000

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