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 Nonlinear Phenomena from a Reinjected Horseshoe.

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Type of Resource: text

Genre: Electronic Thesis or Dissertation

Date Created: Spring 2016

Date Issued: 2016

Publisher: Florida Atlantic University

Physical Form: pdf

Extent: 86 p.

Language(s): English

Abstract/Description: A geometric model of a reinjected cuspidal horseshoe is constructed, that resembles thestandard horseshoe, but where the set of points that escape are now reinjected and contribute toricher dynamics. We show it is observed in the unfolding of a three-dimensional vector field possessingan inclination-flip homoclinic orbit with a resonant hyperbolic equilibrium. We use techniques fromclassical dynamical systems theory and rigorous computational symbolic dynamics with algebraictopology to show that for suitable parameters the flow contains a strange attractor.

Identifier: FA00004591 (IID)

Note(s): Includes bibliography.Dissertation (Ph.D.)--Florida Atlantic University, 2016.

Held by: Florida Atlantic University Digital Library

Sublocation: Boca Raton, Fla.

Persistent Link to This Record:

Restrictions on Access: All rights reserved by the source institution

Owner Institution: FAU

Autor: Fontaine, Marcus , author Kalies, William D. Dr., Thesis advisor Naudot, Vincent Dr., Thesis advisor Charles E. Schmidt College o



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