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Effect of a variable delay in delayed dynamical systems
Citation
Madruga Sánchez, Santiago, Boccaletti, Stefano and Matías, M. A. (2001). Effect of a variable delay in delayed dynamical systems. "International Journal of Bifurcation and Chaos", v. 11 (n. 11); pp. 2875-2880. ISSN 0218-1274. https://doi.org/10.1142/S0218127401003978.
Description
| Title: | Effect of a variable delay in delayed dynamical systems |
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| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | International Journal of Bifurcation and Chaos |
| Date: | 2001 |
| ISSN: | 0218-1274 |
| Volume: | 11 |
| Subjects: | |
| Faculty: | E.T.S.I. Aeronáuticos (UPM) |
| Department: | Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014] |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
We report numerical evidence of the effects of a periodic modulation in the delay time of a delayed dynamical system. By referring to a Mackey-Glass equation and by adding a modula- tion in the delay time, we describe how the solution of the system passes from being chaotic to shadow periodic states. We analyze this transition for both sinusoidal and sawtooth wave mod- ulations, and we give, in the latter case, the relationship between the period of the shadowed orbit and the amplitude of the modulation. Future goals and open questions are highlighted.
More information
| Item ID: | 21705 |
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| DC Identifier: | https://oa.upm.es/21705/ |
| OAI Identifier: | oai:oa.upm.es:21705 |
| DOI: | 10.1142/S0218127401003978 |
| Official URL: | http://www.worldscientific.com/doi/pdf/10.1142/S02... |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 31 Mar 2014 16:21 |
| Last Modified: | 21 Apr 2016 12:26 |
