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Showing 1 to 13 of 13 for “"Symbolic dynamics"”.

  1. Julia Sets and Symbolic Dynamics of Certain Rational and Entire Functions

    Niamsup, PiyapongUniversity of Illinois at Urbana-Champaign2015

    Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.

    uiuc Repository record

  2. Bounding entropy and finding symbolic dynamics via the spectrum of the Conley index

    Baker, Anthony W.Georgia Institute of Technology2000

    gatech Repository record

  3. On *Categories of Cohesive, Active Sets and Other Dynamic Systems

    Wojtowicz, Ralph LeonardUniversity of Illinois at Urbana-Champaign2015

    … but also to Conway's ""Game of Life"" automaton. Symbolic dynamics of the ""Dining Philosophers"" relational system is computed. A category composed of stochastic matrices is defined and some of its elementary properties are developed. A categorical variant of symbolic dynamics is applied to a …

    uiuc Repository record

  4. Dynamical Systems and Matching Symmetry in Beta-Expansions

    Zieber, Karl2022

    <p>Symbolic dynamics, and in particular β-expansions, are a ubiquitous tool in studying more complicated dynamical systems. Applications include number theory, fractals, information theory, and data storage.</p> <p>In this thesis we will explore the basics of dynamical systems with a special focus …

    calpoly Repository record

  5. Anomaly detection in rolling element bearings via two-dimensional Symbolic Aggregate Approximation

    Harris, Bradley WilliamVirginia Tech2013

    Symbolic dynamics is a current interest in the area of anomaly detection, especially in mechanical systems. Symbolic dynamics reduces the overall dimensionality of system responses while maintaining a high level of robustness to noise. Rolling element bearings are particularly common mechanical …

    vt Repository record

  6. Omega-Limit Sets of Discrete Dynamical Systems

    Barwell, Andrew DavidUniversity of Birmingham2011

    … new results. We also make extensive use of symbolic dynamics, and prove new results relating to this method of analysis.

    birmingham Repository record

  7. CARDIAC AUTONOMIC CONTROL DURING SLEEP IN PATIENTS WITH MULTIPLE SYSTEM ATROPHY: A PILOT STUDY ON THE IMPACT OF CPAP THERAPY

    LAZZERI, GIULIAUniversità degli Studi di Milano2025

    … (MSA) using cardiorespiratory coupling (K2) and symbolic dynamics (0V%, 2UV%, 2LV%) derived from ECG tracings in video‐polysomnography (v‐PSG). The study aims to compare patients with and without sleep‐disordered breathing (SDB) and to assess the acute autonomic effects of CPAP therapy during the …

    milano Repository record

  8. On the Dynamics of Quasi-Self-Matings of Generalized Starlike Complex Quadratics and the Structure of the Mated Julia Sets

    Flek, RossThe Graduate School and University Center of The City University of New York2016

    … to a Julia set of a rational map; the dynamics of the two polynomials are reflected in the dynamics of the mated rational map. Here, I investigate the Julia sets of self-matings of generalized starlike quadratic polynomials, which enjoy relatively simple combinatorics. The points in the …

    cuny-grad Repository record

  9. How well can one resolve the state space of a chaotic map?

    Lippolis, DomenicoGeorgia Institute of Technology2010

    All physical systems are affected by some noise that limits the resolution that can be attained in partitioning their state space. For chaotic, locally hyperbolic flows, this resolution depends on the interplay of the local stretching/contraction and the smearing due to noise. My goal is to …

    gatech Repository record

  10. Topological Dynamics On Compact Phase Spaces

    Majed, Lieth AbdalateefMathematics2017

    … recall the necessary background from topological dynamics. We will define the enveloping semigroup and review some of the well known results concerning its structure. Fundamental and well known theorems which lead to the assertion as to the existence of a universal system will be presented. …

    lsu-thes Repository record

  11. Framework for the analysis and design of encryption strategies based on discrete-time chaotic dynamical systems

    Arroyo Guardeño, DavidAgronomos2009

    … the foundations of cryptography, but also of the dynamics and inner structure of chaos. Therefore, any proposal to use chaos in the context of cryptography must respect a series of design rules, in order to avoid the reconstruction of the dynamics of the underlying chaotic system, and to determine …

    upm Repository record

  12. Algebraic relaxations and hardness results in polynomial optimization and Lyapunov analysis

    Ahmadi, Amir AliMassachusetts Institute of Technology2011

    … Inspired by concepts in automata theory and symbolic dynamics, we define a class of graphs called path-complete graphs, and show that any such graph gives rise to a method for proving stability of switched systems. The semidefinite programs arising from this technique include as special case …

    mit Repository record

  13. Coloring problems in combinatorics and descriptive set theory

    Bernshteyn, AntonUniversity of Illinois at Urbana-Champaign2018

    … set theory, with applications to topological dynamics and ergodic theory. This work consists of two parts, each of which is in turn split into a number of chapters. Although the individual chapters are largely independent from each other (with the exception of Chapters 4 and 6, which partially …

    uiuc Repository record