22,166 research outputs found
Friesen, Gallas & Gallas: Managing the Courts
A Review of Managing the Courts by Ernest C. Friesen, Edward C. Gallas, and Nesta M. Galla
Accumulation horizons and period-adding in optically injected semiconductor lasers
We study the hierarchical structuring of islands of stable periodic
oscillations inside chaotic regions in phase diagrams of single-mode
semiconductor lasers with optical injection. Phase diagrams display remarkable
{\it accumulation horizons}: boundaries formed by the accumulation of infinite
cascades of self-similar islands of periodic solutions of ever-increasing
period. Each cascade follows a specific period-adding route. The riddling of
chaotic laser phases by such networks of periodic solutions may compromise
applications operating with chaotic signals such as e.g. secure communications.Comment: 4 pages, 4 figures, laser phase diagrams, to appear in Phys. Rev. E,
vol. 7
Replicate Periodic Windows in the Parameter Space of Driven Oscillators
In the bi-dimensional parameter space of driven oscillators, shrimp-shaped
periodic windows are immersed in chaotic regions. For two of these oscillators,
namely, Duffing and Josephson junction, we show that a weak harmonic
perturbation replicates these periodic windows giving rise to parameter regions
correspondent to periodic orbits. The new windows are composed of parameters
whose periodic orbits have periodicity and pattern similar to stable and
unstable periodic orbits already existent for the unperturbed oscillator. These
features indicate that the reported replicate periodic windows are associated
with chaos control of the considered oscillators
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