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HIDDEN MARKOV PROCESSES IN THE CONTEXT OF SYMBOLIC DYNAMICS
HIDDEN MARKOV PROCESSES SYMBOLIC DYNAMICS
2015/9/29
In an effort to aid communication among different fields and perhaps facilitate progress on problems common toall of them, this article discusses hidden Markov processes from several viewpoints, espec...
Kneadings, Symbolic Dynamics and Painting Lorenz Chaos. A Tutorial
kneading invariant symbolic dynamics T-points Lorenz attractor chaos homoclinic and heteroclinic orbits
2012/4/26
A new computational technique based on the symbolic description utilizing kneading invariants is proposed and verified for explorations of dynamical and parametric chaos in a few exemplary systems wit...
Entropy for symbolic dynamics with overlapping alphabets
Entropy for symbolic dynamics overlapping alphabets
2010/11/22
We consider shift spaces in which elements of the alphabet may overlap nontransitively. We define a notion of entropy for such spaces, give several techniques for computing lower bounds for it, and s...
Extracting preseismic electromagnetic signatures in terms of symbolic dynamics
preseismic electromagnetic signatures terms of symbolic dynamics
2009/11/11
When a heterogeneous material is strained, its evolution toward breaking is characterized by the nucleation and the coalescence of micro-cracks before the final break-up. Electromagnetic (EM) emission...
Secure Digital Communication using Chaotic Symbolic Dynamics
Secure Digital Communication Chaotic Symbolic Dynamics
2009/7/28
One of the major hurdles in implementing chaotic communication schemes is the synchronization of chaotic systems. For the last two decades, numerous contributions of varying successes have been made b...
In the present paper we study properties of perfectly balanced Boolean functions. Based on the concept of Boolean function barrier, we propose a novel approach to construct large classes of perfectly ...
Evolution of Chaos in the Matsumoto-Chua Circuit: Symbolic Dynamics Approach
Chaos the Matsumoto-Chua Circuit Symbolic Dynamics Approach
2010/10/13
We use symbolic dynamics to follow the evolution of the Matsumoto-Chua circuit in the chaotic regime. We consider the evolution of the whole population of unstable periodic orbits and of the associate...