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Showing 1 to 10 of 10 for “"Kolmogorov-Sinai entropy"”.
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Information theoretic parameters for graphs and operator systems
… prove a number of seemingly new results on graph entropy, a classical information theoretic quantity introduced by Korner. Our work includes the determination of the graph entropy of the odd cycles and their complements under certain probability distributions. <br/><br/>We develop a theory of …
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Complexity as a Form of Transition From Dynamics to Thermodynamics: Application to Sociological and Biological Processes.
… is shown that there is no need to generalize the Kolmogorov-Sinai entropy by means of a non-extensive indicator, and that the anomaly of these processes does not rest on their non-extensive nature, but rather in the fact that the process of transition from dynamics to thermodynamics, this being …
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Deterministic transport: from normal to anomalous diffusion
… the sum of positive Lyapunov exponents to the Kolmogorov-Sinai entropy. For open hyperbolic systems the escape rate formula is valid. In this work we have formulated generalizations of these formulas for a class of intermittent dynamical systems where the chaotic properties are weaker.
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The Dynamic Foundation of Fractal Operators.
… The problem of the connection with the Kolmogorov-Sinai entropy is a delicate problem that, however, can be successfully solved. The derivation from a microscopic Liouville-like approach based on densities, however, is shown to be impossible. This dissertation, in fact, establishes the …
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A Dynamic and Thermodynamic Approach to Complexity.
… first part of this dissertation, the concept of Kolmogorov-Sinai entropy is introduced. The Pesin theorem is generalized in the formalism of Tsallis non-extensive thermodynamics. This generalized form of Pesin theorem is used in the study of two major classes of problems, whose prototypes are …
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Mathematical modelling and brain dynamical networks
… of Hindmarsh-Rose neurons by increasing the entropy of the system. In particular, we choose the Kolmogorov-Sinai entropy: HKS (Pesin identity) as the evolution rule. First, we compute the HKS for a network of 4 HR neurons connected simultaneously by two undirected electrical and two …
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Statistical physics of semidilute polymer systems soft billiard systems
… statistical physics. We study a variation of a Sinai-type billiard system, where circular scatterers of radius R are centered on the lattice sites of a 2-d square lattice and given a finite potential height U (measured in units of kinetic energy). For 1 > U > 0, the Kolmogorov-Sinai entropy of a …
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Adaptation of task-aware, communicative variance for motion control in social humanoid robotic applications
An algorithm for generating communicative, human-like motion for social humanoid robots was developed. Anticipation, exaggeration, and secondary motion were demonstrated as examples of communication. Spatiotemporal correspondence was presented as a metric for human-like motion, and the metric was …
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The Billiard problem
Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-06T14:31:27Z No. of bitstreams: 1 1985_friedman.pdf: 2886336 bytes, checksum: acbf489631db3b034fef2d07a0005622 (MD5)
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Addressing nonlinear systems with information-theoretical techniques
… from Shannon’s work was to discover that entropy is a measure of information and that computing the entropy of a sequence, or a signal, can answer to the question of how much information is contained in the sequence. Or, alternatively, considering the source, i.e. the system, that …