Control of chaos and intermittent periodic motions in Rayleigh-Bénard convection using a feedback controller

C. Kanchana; P. G. Siddheshwar; D. Laroze

doi:10.1007/s11071-024-10494-1

Control of chaos and intermittent periodic motions in Rayleigh-Bénard convection using a feedback controller

Título traducido de la contribución: Control del caos y de los movimientos periódicos intermitentes en la convección de Rayleigh-Bénard mediante un controlador de retroalimentación

C. Kanchana
, P. G. Siddheshwar
, D. Laroze

Instituto de Alta Investigación

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

3 Citas (Scopus)

Resumen

El control del movimiento convectivo regular, el caos y el movimiento periódico en el sistema Rayleigh-Bénard se estudia considerando un mecanismo de control por retroalimentación que considera la dependencia mutua del calentamiento (enfriamiento) de las dos placas límite. Esta configuración garantiza que los diferentes regímenes de flujo (convectivo, caótico y periódico) del sistema no tengan interferencia mecánica y que el control se mantenga como un mecanismo externo. La influencia reostática del control por retroalimentación en estos flujos se demuestra investigando en detalle el número crítico de Rayleigh en el caso del movimiento convectivo regular y el número de Hopf-Rayleigh en el caso del movimiento caótico. En el caso de un acoplamiento leve entre las temperaturas límite inferior y superior, se observan movimientos periódicos intermitentemente en un régimen que, de otro modo, sería caótico cuando el sistema alcanza una situación (zona de abastecimiento) en la que necesita conservar energía para mantener el caos en momentos posteriores. En el caso de un acoplamiento fuerte entre las temperaturas límite, surge una situación interesante en la que el caos aparece de forma retardada y breve, dando paso a un período prolongado de movimiento periódico. Se conservan las características del sistema clásico de Rayleigh-Bénard, pero cada régimen aparece con retraso. © El/Los autor(es), bajo licencia exclusiva de Springer Nature B.V. 2024.

Título traducido de la contribución	Control del caos y de los movimientos periódicos intermitentes en la convección de Rayleigh-Bénard mediante un controlador de retroalimentación
Idioma original	Inglés
Páginas (desde-hasta)	7297-7313
Número de páginas	17
Publicación	Nonlinear Dynamics
Volumen	113
N.º	7
DOI	https://doi.org/10.1007/s11071-024-10494-1
Estado	Publicada - abr. 2025

Palabras clave

Caos
Controlador de retroalimentación
Serie Meclaurin
Movimiento periódico
Convección de Rayleigh-Bénard

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10.1007/s11071-024-10494-1

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title = "Control of chaos and intermittent periodic motions in Rayleigh-B{\'e}nard convection using a feedback controller",

abstract = "Control of regular convective motion, chaos and periodic motion in the Rayleigh-B{\'e}nard system is studied by considering a feedback control mechanism that considers the dependence of the heating (cooling) of the two boundary plates on one another. This set up ensures that the different flow regimes (convective, chaotic and periodic) in the system have no mechanical interference and the control remains an external mechanism. The rheostatic influence of feedback control on these flows is demonstrated by investigating in detail the critical Rayleigh number in the case of regular convective motion and the Hopf-Rayleigh number in the case of chaotic motion. For mild coupling between lower and upper boundary temperatures, periodic motions are intermittently observed in an otherwise chaotic regime at times when the system arrives at a situation (fuelling zone) wherein it needs to conserve energy in order to sustain chaos at subsequent times. For strong coupling between the boundary temperatures, an interesting situation arises wherein chaos makes a delayed and brief appearance and gives way to a prolonged spell of periodic motion. Features of the classical Rayleigh-B{\'e}nard system are retained but each regime makes a delayed appearance.",

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