Harmonic Resonance Dynamics of the Periodically Forced Hopf Oscillator

Harmonic Resonance Dynamics of the Periodically Forced Hopf Oscillator

Bibliographic Details
Main Author: Wiser, Justin Allen
Language:English
Published: The Ohio State University / OhioLINK 2013
Subjects:
Biochemistry
Biophysics
Engineering
Electrical Engineering
Mathematics
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
Online Access:http://rave.ohiolink.edu/etdc/view?acc_num=osu1373380266
id ndltd-OhioLink-oai-etd.ohiolink.edu-osu1373380266
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spelling ndltd-OhioLink-oai-etd.ohiolink.edu-osu13733802662021-08-03T06:18:26Z Harmonic Resonance Dynamics of the Periodically Forced Hopf Oscillator Wiser, Justin Allen Biochemistry Biophysics Engineering Electrical Engineering Mathematics 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 We classify the existence and stability of dynamical responses to the small amplitudeperiodic forcing of a system near a Hopf bifurcation point, where the forcingfrequency, 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. 2013-09-03 English text The Ohio State University / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=osu1373380266 http://rave.ohiolink.edu/etdc/view?acc_num=osu1373380266 unrestricted This thesis or dissertation is protected by copyright: some rights reserved. It is licensed for use under a Creative Commons license. Specific terms and permissions are available from this document's record in the OhioLINK ETD Center.
collection NDLTD
language English
sources NDLTD
topic Biochemistry
Biophysics
Engineering
Electrical Engineering
Mathematics
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
spellingShingle Biochemistry
Biophysics
Engineering
Electrical Engineering
Mathematics
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
Wiser, Justin Allen
Harmonic Resonance Dynamics of the Periodically Forced Hopf Oscillator
author Wiser, Justin Allen
author_facet Wiser, Justin Allen
author_sort Wiser, Justin Allen
title Harmonic Resonance Dynamics of the Periodically Forced Hopf Oscillator
title_short Harmonic Resonance Dynamics of the Periodically Forced Hopf Oscillator
title_full Harmonic Resonance Dynamics of the Periodically Forced Hopf Oscillator
title_fullStr Harmonic Resonance Dynamics of the Periodically Forced Hopf Oscillator
title_full_unstemmed Harmonic Resonance Dynamics of the Periodically Forced Hopf Oscillator
title_sort harmonic resonance dynamics of the periodically forced hopf oscillator
publisher The Ohio State University / OhioLINK
publishDate 2013
url http://rave.ohiolink.edu/etdc/view?acc_num=osu1373380266
work_keys_str_mv AT wiserjustinallen harmonicresonancedynamicsoftheperiodicallyforcedhopfoscillator
_version_ 1719434402863251456

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