Abstract

We study the stability and dynamic transitions of the western boundary currents in a rectangular closed basin. By reducing the infinite dynamical system to a finite dimensional one via center manifold reduction, we derive a non-dimensional transition number that determines the types of dynamical transition. We show by careful numerical evaluation of the transition number that both continuous transitions (supercritical Hopf bifurcation) and catastrophic transitions (subcritical Hopf bifurcation) can happen at the critical Reynolds number, depending on the aspect ratio and stratification. The regions separating the continuous and catastrophic transitions are delineated on the parameter plane.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Dynamic Transition; Hopf Bifurcation; Instability; Spectral Method; Western Boundary Current

International Standard Serial Number (ISSN)

1815-2406

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2019 Global-Science Press, All rights reserved.

Publication Date

01 Jul 2019

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