Multivalued behavior for a two-level system using Homotopy Analysis Method

A.I. Aquino and L.Ma.T. Bo-ot

Physica A: Statistical Mechanics and its Applications, 2016, vol. 443, issue C, 358-371

Abstract: We use the Homotopy Analysis Method (HAM) to solve the system of equations modeling the two-level system and extract results which will pinpoint to turbulent behavior. We look at multivalued solutions as indicative of turbulence or turbulent-like behavior. We take different specific cases which result in multivalued velocities. The solutions are in series form and application of HAM ensures convergence in some region.

Keywords: Multivalued solutions; Homotopy Analysis Method; Two-level system (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:443:y:2016:i:c:p:358-371

DOI: 10.1016/j.physa.2015.09.057

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