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

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Noise-resistant chaotic synchronization of nonhyperbolic maps via information transmission

Martin Hasler

A scheme of chaotic synchronization based of transmission of information about the state of drive system to driven system wit use of symbolic dynamics formalism is presented. It is shown that the volume of transmitted information necessary to synchronize t ...

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

Chaotic synchronization of 2-D maps via information transmission

Martin Hasler

The master-slave synchronization of two chaotic systems that interact over a noisy channel is analyzed from an information theoretic point of view. It is argued that arbitrarily precise synchronization, in the sense of the mean square synchronization error ...

2001

Dynamics of edge localized modes in the TCV tokamak

Yves Martin, Jonathan Bryan Lister

The D-alpha emission time-series from the TCV tokamak was investigated fora large set of ELMy discharges, to determine whether fluctuations in the time delay between ELMs are the result of noise only, or whether a deterministic process in a chaotic state e ...

2001

Comparison of different chaos shift keying methods

Martin Hasler, Thomas Schimming

This paper examines a number of chaos shift keying methods Different approaches for the optimization of the transmitter and the receiver (based on statistical arguments) are compared through simulation. Based on the results, The tradeoff between computatio ...

2001

Chaos shift keying in the presence of noise: a simple discrete time example

Martin Hasler

The transmission of binary information using chaotic switching, also called chaos shift keying is used. On the receiver side the information is extracted using a method that is not based on synchronization, but that directly tries to detect which chaotic s ...

1998

Recent advances in the transmission of information using a chaotic signal

Martin Hasler

The current techniques of communications using a chaotic carrier signal are presented. The different ways to achieve synchronization of chaotic systems are listed and some of the complex phenomena that arise in this context are mentioned. The role of synch ...

1997

On the origin of chaos in gearbox models

Max-Olivier Hongler

Discrete dissipative mappings are derived from the dynamics of gearboxes modelled mathematically in mechanical engineering. In a special regime, we are able to derive a mapping which belongs to the class of Fermi accelarator systems. These systems exhibit ...

1988