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Models of Negatively Damped Harmonic Oscillators: the Case of Bipolar Disorder

Bipolar II disorder is characterized by alternating hypomanic and major depressive episodes. A negatively damped harmonic oscillator is used to model the periodic mood variations of a single bipolar II individual. Treatment is modeled via a function that is capable of stabilizing, within some boundaries, the mood variation of the patient. In this paper we study the dynamics of two individuals with bipolar II disorder who interact with each other. The interaction of two subjects living together who experience bipolar II disorder is modeled via two weakly coupled weakly damped harmonic oscillators.

Article Number:
BU-1613-M

Year:
2002

Authors:
Darryl Daugherty, California Polytechnic University, Pomona
John Urea, California State University, Fullerton
Tairi Roque, California State University, Fullerton
Dr. Stephen Wirkus, California Polytechnic University

models_of_negatively_damped_harmonic_oscillators_the_case_of_bipolar_disorder.pdf