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Bifurcation analysis of parametrically excited bipolar disorder model

✍ Scribed by Laurent Nana

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 711 KB
Volume: 14
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2007.10.002

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✦ Synopsis

Bipolar II disorder is characterized by alternating hypomanic and major depressive episode. We model the periodic mood variations of a bipolar II patient with a negatively damped harmonic oscillator. The medications administrated to the patient are modeled via a forcing function that is capable of stabilizing the mood variations and of varying their amplitude. We analyze analytically, using perturbation method, the amplitude and stability of limit cycles and check this analysis with numerical simulations.

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