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Finite Time Synchronization of Extended Nonlinear Dynamical Systems Using Local Coupling
Joint Authors
Leiva, Hugo
Acosta, A.
García, P.
Merlitti, A.
Source
International Journal of Differential Equations
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-12-07
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We consider two reaction-diffusion equations connected by one-directional coupling function and study the synchronization problem in the case where the coupling function affects the driven system in some specific regions.
We derive conditions that ensure that the evolution of the driven system closely tracks the evolution of the driver system at least for a finite time.
The framework built to achieve our results is based on the study of an abstract ordinary differential equation in a suitable Hilbert space.
As a specific application we consider the Gray-Scott equations and perform numerical simulations that are consistent with our main theoretical results.
American Psychological Association (APA)
Acosta, A.& García, P.& Leiva, Hugo& Merlitti, A.. 2017. Finite Time Synchronization of Extended Nonlinear Dynamical Systems Using Local Coupling. International Journal of Differential Equations،Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1165818
Modern Language Association (MLA)
Acosta, A.…[et al.]. Finite Time Synchronization of Extended Nonlinear Dynamical Systems Using Local Coupling. International Journal of Differential Equations No. 2017 (2017), pp.1-7.
https://search.emarefa.net/detail/BIM-1165818
American Medical Association (AMA)
Acosta, A.& García, P.& Leiva, Hugo& Merlitti, A.. Finite Time Synchronization of Extended Nonlinear Dynamical Systems Using Local Coupling. International Journal of Differential Equations. 2017. Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1165818
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1165818