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pro vyhledávání: '"Illing, Lucas"'
We study the dynamics of a piecewise-linear second-order delay differential equation that is representative of feedback systems with relays (switches) that actuate after a fixed delay. The system under study exhibits strong multirhythmicity, the coex
Externí odkaz:
http://arxiv.org/abs/2306.06498
Autor:
Illing, Lucas
Publikováno v:
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Thesis (Ph. D.)--University of California, San Diego, 2002.
Vita. Includes bibliographical references (leaves 216-224).
Vita. Includes bibliographical references (leaves 216-224).
Externí odkaz:
http://wwwlib.umi.com/cr/ucsd/fullcit?p3061623
Akademický článek
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We describe a simple experimental implementation of the Malkus-Lorenz water wheel. We demonstrate that both chaotic and periodic behavior is found as wheel parameters are changed in agreement with predictions from the Lorenz model. We furthermore sho
Externí odkaz:
http://arxiv.org/abs/1202.5508
We study an opto-electronic time-delay oscillator that displays high-speed chaotic behavior with a flat, broad power spectrum. The chaotic state coexists with a linearly-stable fixed point, which, when subjected to a finite-amplitude perturbation, lo
Externí odkaz:
http://arxiv.org/abs/0901.3916
We demonstrate an all-optical switch that operates at ultra-low-light levels and exhibits several features necessary for use in optical switching networks. An input switching beam, wavelength $\lambda$, with an energy density of $10^{-2}$ photons per
Externí odkaz:
http://arxiv.org/abs/0709.2406
Autor:
Illing, Lucas, Gauthier, Daniel J.
We investigate the steady-state solution and its bifurcations in time-delay systems with band-limited feedback. This is a first step in a rigorous study concerning the effects of AC-coupled components in nonlinear devices with time-delayed feedback.
Externí odkaz:
http://arxiv.org/abs/nlin/0507040
Publikováno v:
Science, Vol 308, Issue 5722, 672-674, 29 April 2005
We report on an all-optical switch that operates at low light levels. It consists of laser beams counterpropagating through a warm rubidium vapor that induce an off-axis optical pattern. A switching laser beam causes this pattern to rotate even when
Externí odkaz:
http://arxiv.org/abs/nlin/0506006
We describe a new opto-electronic device with time-delayed feedback that uses a Mach-Zehnder interferometer as passive nonlinearity and a semiconductor laser as a current-to-optical-frequency converter. Bandlimited feedback allows tuning of the chara
Externí odkaz:
http://arxiv.org/abs/nlin/0311044
Autor:
Lewis, Clifford Tureman, Abarbanel, Henry D. I., Kennel, Matthew B., Buhl, Michael, Illing, Lucas
We investigate synchronization and subsequently communication using chaotic rare-earth-doped fiber ring lasers, represented by a physically realistic model. The lasers are coupled by transmitting a fraction c of the circulating electric field in the
Externí odkaz:
http://arxiv.org/abs/chao-dyn/9907021