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Justin_Wiser_Thesis_2013.pdf (2.68 MB)
ETD Abstract Container
Abstract Header
Harmonic Resonance Dynamics of the Periodically Forced Hopf Oscillator
Author Info
Wiser, Justin Allen
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1373380266
Abstract Details
Year and Degree
2013, Doctor of Philosophy, Ohio State University, Mathematics.
Abstract
We classify the existence and stability of dynamical responses to the small amplitude periodic forcing of a system near a Hopf bifurcation point, where the forcing frequency, omega_F , is close to the Hopf frequency, omega_H. We consider this as a bifurcation problem with omega_H - omega_F as the distinguished parameter. We go on to discuss applications of this research to a variety of physical and physiological systems.
Committee
Martin Golubitsky (Advisor)
James Cogdell (Committee Member)
Janet Best (Committee Member)
Pages
178 p.
Subject Headings
Biochemistry
;
Biophysics
;
Electrical Engineering
;
Engineering
;
Mathematics
Keywords
Hopf
;
Hopf bifurcation
;
resonance
;
dynamical systems
;
bifurcation theory
;
nonlinear system
;
signal transduction
;
oscillator
;
cochlea
;
circadian
;
CDIMA
;
excitable cells
;
fitzhugh nagumo
;
sensory perception
;
goodwin oscillator
;
nonlinear dynamics
Recommended Citations
Refworks
EndNote
RIS
Mendeley
Citations
Wiser, J. A. (2013).
Harmonic Resonance Dynamics of the Periodically Forced Hopf Oscillator
[Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1373380266
APA Style (7th edition)
Wiser, Justin.
Harmonic Resonance Dynamics of the Periodically Forced Hopf Oscillator.
2013. Ohio State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu1373380266.
MLA Style (8th edition)
Wiser, Justin. "Harmonic Resonance Dynamics of the Periodically Forced Hopf Oscillator." Doctoral dissertation, Ohio State University, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=osu1373380266
Chicago Manual of Style (17th edition)
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Document number:
osu1373380266
Download Count:
1,489
Copyright Info
© 2013, some rights reserved.
Harmonic Resonance Dynamics of the Periodically Forced Hopf Oscillator by Justin Allen Wiser is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by The Ohio State University and OhioLINK.