Artículo
Phase Shadows: An Enhanced Representation of Nonlinear Dynamic Systems
Autor/es | Luque Sendra, Amalia
Barbancho Concejero, Julio Fernández Cañete, Javier Córdoba-Roldán, Antonio |
Departamento | Universidad de Sevilla. Departamento de Tecnología Electrónica Universidad de Sevilla. Departamento de Ingeniería del Diseño |
Fecha de publicación | 2017 |
Fecha de depósito | 2019-10-25 |
Publicado en |
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Resumen | Many nonlinear dynamic systems have a rotating behavior where an angle defining its state
may extend to more than 360◦. In these cases the use of the phase portrait does not properly
depict the system’s evolution. ... Many nonlinear dynamic systems have a rotating behavior where an angle defining its state may extend to more than 360◦. In these cases the use of the phase portrait does not properly depict the system’s evolution. Normalized phase portraits or cylindrical phase portraits have been extensively used to overcome the original phase portrait’s disadvantages. In this research a new graphic representation is introduced: the phase shadow. Its use clearly reveals the system behavior while overcoming the drawback of the existing plots. Through the paper the method to obtain the graphic is stated. Additionally, to show the phase shadow’s expressiveness, a rotating pendulum is considered. The work exposes that the new graph is an enhanced representational tool for systems having equilibrium points, limit cycles, chaotic attractors and/or bifurcations. |
Cita | Luque Sendra, A., Barbancho Concejero, J., Fernández Cañete, J. y Córdoba Roldán, A. (2017). Phase Shadows: An Enhanced Representation of Nonlinear Dynamic Systems. International Journal of Bifurcation and Chaos, 27 (14), 1730051-1-1730051-14. |
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Phase Shadows.pdf | 1.470Mb | [PDF] | Acceso restringido. Petición a través del formulario. | |