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Harmonic Resonance Dynamics of the Periodically Forced Hopf Oscillator
Wiser, Justin Allen

2013, Doctor of Philosophy, Ohio State University, Mathematics.
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.
Martin Golubitsky (Advisor)
James Cogdell (Committee Member)
Janet Best (Committee Member)
178 p.

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Wiser, J. (2013). Harmonic Resonance Dynamics of the Periodically Forced Hopf Oscillator. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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Wiser, Justin. "Harmonic Resonance Dynamics of the Periodically Forced Hopf Oscillator." Electronic Thesis or Dissertation. Ohio State University, 2013. OhioLINK Electronic Theses and Dissertations Center. 25 Sep 2017.

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Wiser, Justin "Harmonic Resonance Dynamics of the Periodically Forced Hopf Oscillator." Electronic Thesis or Dissertation. Ohio State University, 2013. https://etd.ohiolink.edu/

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