Publication

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

Martin Hasler
2001
Journal Articles

Abstract

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 for the synchronization of two-dimensional chaotic maps. The central idea is that the communication channel should convey a symbolic sequence that contains information about the drive signal. It is established by computer simulations that the scheme enables one to obtain the highest synchronization quality and noise immunity.

Official source

https://infoscience.epfl.ch/entities/publication/f5f8044b-5b75-4e6f-8001-e755314455c6

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Martin Hasler
2001
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/f5f8044b-5b75-4e6f-8001-e755314455c6

About this result

Related concepts (32)

Information theory

Information theory is the mathematical study of the quantification, storage, and communication of information. The field was originally established by the works of Harry Nyquist and Ralph Hartley, in the 1920s, and Claude Shannon in the 1940s. The field, in applied mathematics, is at the intersection of probability theory, statistics, computer science, statistical mechanics, information engineering, and electrical engineering. A key measure in information theory is entropy.

Chaos theory

Chaos theory is an interdisciplinary area of scientific study and branch of mathematics focused on underlying patterns and deterministic laws of dynamical systems that are highly sensitive to initial conditions, and were once thought to have completely random states of disorder and irregularities. Chaos theory states that within the apparent randomness of chaotic complex systems, there are underlying patterns, interconnection, constant feedback loops, repetition, self-similarity, fractals, and self-organization.

Information

Information is an abstract concept that refers to that which has the power to inform. At the most fundamental level, information pertains to the interpretation (perhaps formally) of that which may be sensed, or their abstractions. Any natural process that is not completely random and any observable pattern in any medium can be said to convey some amount of information. Whereas digital signals and other data use discrete signs to convey information, other phenomena and artefacts such as analogue signals, poems, pictures, music or other sounds, and currents convey information in a more continuous form.

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

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