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http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/2307| Stability analysis of orbital modes for a generalized Lane–Emden equation | |
| Ronald Adams Stefan C. Mancas Haret Codratian Rosu | |
| En Embargo | |
| 31-03-2021 | |
| Atribución-NoComercial-SinDerivadas | |
| https://doi.org/10.1016/j.cnsns.2018.08.001 | |
| Stability analysis Nonautonomous system Lyapunov function Numerical orbital modes Generalized Lane-Emden equation | |
| "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." | |
| Elsevier | |
| 2019 | |
| Artículo | |
| 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. | |
| MATEMÁTICAS | |
| Versión revisada | |
| submittedVersion - Versión revisada | |
| Aparece en las colecciones: | Publicaciones Científicas Nanociencias y Materiales |