Journal ArticleDOI
Observation of Chaos in Optical Bistability
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In this paper, the behavior of optical turbulence and periodic oscillations with a hybrid optically bistable device with a delay in the feedback was predicted. But the authors did not consider the effect of the delay on the delay of the feedback.Abstract:
Optical turbulence and periodic oscillations are easily seen with a hybrid optically bistable device with a delay in the feedback. The behavior of these instabilities is in good agreement with the recent work of Ikeda, Daido, and Akimoto, who predicted them for both ring-cavity and delay-line hybrid devices.read more
Citations
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Journal ArticleDOI
Control of multistability
TL;DR: In this paper, the authors review the most representative control strategies and discuss their theoretical background and experimental realization, and discuss the importance of multistability control in applied nonlinear science.
Journal ArticleDOI
Multistability and delayed recurrent loops.
TL;DR: Two kinds of multistability with respect to initial spiking functions are found, depending on whether the neuron is excitable or repetitively firing in the absence of feedback.
Journal ArticleDOI
Chaotic behaviour in general relativity
John D. Barrow,John D. Barrow +1 more
TL;DR: In this paper, the Mixmaster universe is studied as a dynamical system in a appropriate phase space, a Poincare return mapping is constructed for the system and a smooth invariant measure is calculated.
Journal ArticleDOI
Optical bistability and related devices
Eitan Abraham,S D Smith +1 more
TL;DR: In this article, a broad description of optical bistability is given, from practical applications, as an optical transistor or optical memory element, to its phase transition interpretation, and current experimental progress in all-optical and hybrid devices is also discussed and a scaling example is presented to indicate the possibilities in high-speed alloptical signal processing.
Journal ArticleDOI
Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation
TL;DR: In this article, the singularly perturbed differential-delay equation is studied and the existence of periodic solutions is shown using a global continuation technique based on degree theory, and these solutions are proved to have a square wave shape, and are related to periodic points of the mapping: R→R.
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