Note
Includes bibliography.
Member of
Contributors
Publisher
Florida Atlantic University
Date Issued
2016
EDTF Date Created
2016
Description
A geometric model of a reinjected cuspidal horseshoe is constructed, that resembles the
standard horseshoe, but where the set of points that escape are now reinjected and contribute to
richer dynamics. We show it is observed in the unfolding of a three-dimensional vector field possessing
an inclination-flip homoclinic orbit with a resonant hyperbolic equilibrium. We use techniques from
classical dynamical systems theory and rigorous computational symbolic dynamics with algebraic
topology to show that for suitable parameters the flow contains a strange attractor.
standard horseshoe, but where the set of points that escape are now reinjected and contribute to
richer dynamics. We show it is observed in the unfolding of a three-dimensional vector field possessing
an inclination-flip homoclinic orbit with a resonant hyperbolic equilibrium. We use techniques from
classical dynamical systems theory and rigorous computational symbolic dynamics with algebraic
topology to show that for suitable parameters the flow contains a strange attractor.
Language
Type
Form
Extent
86 p.
Subject (Topical)
Identifier
FA00004591
Additional Information
Includes bibliography.
Dissertation (Ph.D.)--Florida Atlantic University, 2016.
FAU Electronic Theses and Dissertations Collection
Date Backup
2016
Date Created Backup
2016
Date Text
2016
Date Created (EDTF)
2016
Date Issued (EDTF)
2016
Extension
FAU
IID
FA00004591
Organizations
Attributed name: Florida Atlantic University
Attributed name: Charles E. Schmidt College of Science
Attributed name: Department of Mathematical Sciences
Person Preferred Name
Fontaine, Marcus
author
Graduate College
Physical Description
application/pdf
86 p.
Title Plain
Nonlinear Phenomena from a Reinjected Horseshoe
Use and Reproduction
Copyright © is held by the author, with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder.
http://rightsstatements.org/vocab/InC/1.0/
Origin Information
2016
2016
Florida Atlantic University
Boca Raton, Fla.
Physical Location
Florida Atlantic University Libraries
Place
Boca Raton, Fla.
Sub Location
Digital Library
Title
Nonlinear Phenomena from a Reinjected Horseshoe
Other Title Info
Nonlinear Phenomena from a Reinjected Horseshoe