Título

Stability analysis of orbital modes for a generalized Lane–Emden equation

Autor

Ronald Adams

Stefan C. Mancas

Haret Codratian Rosu

Nivel de Acceso

En Embargo

Licencia

http://creativecommons.org/licenses/by-nc-nd/4.0

Identificador alterno

doi: https://doi.org/10.1016/j.cnsns.2018.08.001

Materias

Stability analysis - (AUTOR) Nonautonomous system - (AUTOR) Lyapunov function - (AUTOR) Numerical orbital modes - (AUTOR) Generalized Lane-Emden equation - (AUTOR) CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA - (CTI) MATEMÁTICAS - (CTI) MATEMÁTICAS - (CTI)

Resumen o descripción

"We present a stability analysis of the standard nonautonomous systems type for a recently introduced generalized Lane-Emden equation which is shown to explain the presence of some of the structures observed in the atomic spatial distributions of magnetically-trapped ultracold atomic clouds. A Lyapunov function is defined which helps us to prove that stable spatial structures in the atomic clouds exist only for the adiabatic index y = 1+1 /n with even n. In the case when n is odd we provide an instability result indicating the divergence of the density function for the atoms. Several numerical solutions, which according to our stability analysis are stable, are also presented."

Editor

Elsevier

Fecha de publicación

2019

Tipo de publicación

Artículo

Versión de la publicación

Versión enviada

Recurso de información

http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/2307

Formato

application/pdf

Sugerencia de citación

Ronald Adams, Stefan C. Mancas, Haret C. Rosu, Stability analysis of orbital modes for a generalized Lane–Emden equation, Communications in Nonlinear Science and Numerical Simulation, Volume 68, 2019, Pages 63-71, https://doi.org/10.1016/j.cnsns.2018.08.001.

Repositorio Orígen

Repositorio IPICYT

Descargas

0