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Simulation of a Vibrant Membrane Using a 2-Dimensional Cellular Automaton
Joint Authors
Huerta-Trujillo, I.
Chimal-Eguía, J. C.
Muñoz-Salazar, L.
Martinez-Nuño, J. A.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-18
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper proposes a 2-dimensional cellular automaton (CA) model and how to derive the model evolution rule to simulate a two-dimensional vibrant membrane.
The resulting model is compared with the analytical solution of a two-dimensional hyperbolic partial differential equation (PDE), linear and homogeneous.
This models a vibrant membrane with specific conditions, initial and boundary.
The frequency spectrum is analysed as well as the error between the data produced by the CA model.
Then it is compared to the data provided by the solution evaluation to the differential equation.
This shows how the CA obtains a behavior similar to the PDE.
Moreover, it is possible to simulate nonclassical initial conditions for which there is no exact solution using PDE.
Very interesting information could be obtained from the CA model such as the fundamental frequency.
American Psychological Association (APA)
Huerta-Trujillo, I.& Chimal-Eguía, J. C.& Muñoz-Salazar, L.& Martinez-Nuño, J. A.. 2015. Simulation of a Vibrant Membrane Using a 2-Dimensional Cellular Automaton. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1060546
Modern Language Association (MLA)
Huerta-Trujillo, I.…[et al.]. Simulation of a Vibrant Membrane Using a 2-Dimensional Cellular Automaton. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1060546
American Medical Association (AMA)
Huerta-Trujillo, I.& Chimal-Eguía, J. C.& Muñoz-Salazar, L.& Martinez-Nuño, J. A.. Simulation of a Vibrant Membrane Using a 2-Dimensional Cellular Automaton. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1060546
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060546