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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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
