dor_id: 41750

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100.1.#.a: Macías Díaz, J. E.

524.#.#.a: Macías Díaz, J. E. (2012). Computer simulation of the energy dynamics of a sinusoidally perturbed double sine-Gordon equation: an application to the transmission of wave signals. Revista Mexicana de Física; Vol 58, No 001. Recuperado de https://repositorio.unam.mx/contenidos/41750

245.1.0.a: Computer simulation of the energy dynamics of a sinusoidally perturbed double sine-Gordon equation: an application to the transmission of wave signals

502.#.#.c: Universidad Nacional Autónoma de México

561.1.#.a: Facultad de Ciencias, UNAM

264.#.0.c: 2012

264.#.1.c: 2012-05-09

653.#.#.a: Double sine-Gordon equation; computer simulation; nonlinear bistability; wave propagation; signal transmission

506.1.#.a: La titularidad de los derechos patrimoniales de esta obra pertenece a las instituciones editoras. Su uso se rige por una licencia Creative Commons BY-NC-ND 4.0 Internacional, https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.es, fecha de asignación de la licencia 2012-05-09, para un uso diferente consultar al responsable jurídico del repositorio por medio de rmf@ciencias.unam.mx

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041.#.7.h: eng

520.3.#.a: In this work, we employ a numerical method to approximate the solutions of a damped, double sine-Gordon equation spatially defined over a closed and bounded interval of the real line, subject to a harmonic perturbation of the Dirichlet type on one end, and a homogeneous Neumann condition on the other. The method has schemes to approximate consistently the temporal dynamics of the local energy density and the total energy of the medium, and the total energy over any finite interval of time and, additionally, it preserves the positivity of the corresponding energy operators. As an application of this method, we establish numerically that the phenomenon of nonlinear bistability (which is physically characterized by the coexistence of conducting and insulating regimes) is present in media governed by damped, double sine-Gordon equations when the systems are driven harmonically at a frequency in the forbidden band-gap. We employ this nonlinear process in order to accurately propagate localized pulses from the perturbed end to the free boundary. Two different methods for the transmission of monochromatic waves are employed in this study, and our results demonstrate that an efficient propagation of information is feasible, indeed.

773.1.#.t: Revista Mexicana de Física; Vol 58, No 001 (2012)

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Artículo

Computer simulation of the energy dynamics of a sinusoidally perturbed double sine-Gordon equation: an application to the transmission of wave signals

Macías Díaz, J. E.

Facultad de Ciencias, UNAM, publicado en Revista Mexicana de Física, y cosechado de Revistas UNAM

Licencia de uso

Procedencia del contenido

Entidad o dependencia
Facultad de Ciencias, UNAM
Revista
Repositorio
Contacto
Revistas UNAM. Dirección General de Publicaciones y Fomento Editorial, UNAM en revistas@unam.mx

Cita

Macías Díaz, J. E. (2012). Computer simulation of the energy dynamics of a sinusoidally perturbed double sine-Gordon equation: an application to the transmission of wave signals. Revista Mexicana de Física; Vol 58, No 001. Recuperado de https://repositorio.unam.mx/contenidos/41750

Descripción del recurso

Autor(es)
Macías Díaz, J. E.
Tipo
Artículo de Investigación
Área del conocimiento
Físico Matemáticas y Ciencias de la Tierra
Título
Computer simulation of the energy dynamics of a sinusoidally perturbed double sine-Gordon equation: an application to the transmission of wave signals
Fecha
2012-05-09
Resumen
In this work, we employ a numerical method to approximate the solutions of a damped, double sine-Gordon equation spatially defined over a closed and bounded interval of the real line, subject to a harmonic perturbation of the Dirichlet type on one end, and a homogeneous Neumann condition on the other. The method has schemes to approximate consistently the temporal dynamics of the local energy density and the total energy of the medium, and the total energy over any finite interval of time and, additionally, it preserves the positivity of the corresponding energy operators. As an application of this method, we establish numerically that the phenomenon of nonlinear bistability (which is physically characterized by the coexistence of conducting and insulating regimes) is present in media governed by damped, double sine-Gordon equations when the systems are driven harmonically at a frequency in the forbidden band-gap. We employ this nonlinear process in order to accurately propagate localized pulses from the perturbed end to the free boundary. Two different methods for the transmission of monochromatic waves are employed in this study, and our results demonstrate that an efficient propagation of information is feasible, indeed.
Tema
Double sine-Gordon equation; computer simulation; nonlinear bistability; wave propagation; signal transmission
Idioma
eng
ISSN
2683-2224 (digital); 0035-001X (impresa)

Enlaces