Date of Award
2016
Document Type
Dissertation
Publication Status
Version of Record
Submission Date
October 2026
Thesis/Dissertation Advisor [Chair]
Kalies, William D.
Thesis/Dissertation Co-Chair
Naudot, Vincent
Abstract
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.
Extent
86 p.
Recommended Citation
Fontaine, Marcus, "Nonlinear Phenomena from a Reinjected Horseshoe" (2016). Electronic Theses and Dissertations 2010 - 2019. 1522.
https://digitalcommons.fau.edu/etd_general_6/1522
Identifier
FA00004591
Comments
Includes bibliography.|Dissertation (Ph.D.)--Florida Atlantic University, 2016.|FAU Electronic Theses and Dissertations Collection|Includes bibliography.