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Phys. Rev. Lett. 100, 044101 (2008) [4 pages]

Coarse Grained Variables and Deterministic Chaos in an Excitable System

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Jhon F. Martinez Avila, Hugo L. D. de S. Cavalcante, and J. R. Rios Leite
Departamento de Física, Universidade Federal de Pernambuco, 50670-901 Recife, PE, Brazil

Received 20 February 2006; published 28 January 2008

Temporal coarse graining was applied to the dynamical variables of a semiconductor laser with optical feedback. The chaotic low frequency fluctuations obtained in numerical and experimental data are shown to have properties of a self-excitable deterministic system. External exciting noise is replaced by the ultrafast chaotic oscillations of the system. A low dimensional coarse-grained phase space is defined and time constants are introduced and measured for the exponential drop and recovery of the randomly excited equally shaped spikes.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.044101
DOI:
10.1103/PhysRevLett.100.044101
PACS:
05.45.Pq, 64.60.F−