51 research outputs found
Mandelbrot set in coupled logistic maps and in an electronic experiment
We suggest an approach to constructing physical systems with dynamical
characteristics of the complex analytic iterative maps. The idea follows from a
simple notion that the complex quadratic map by a variable change may be
transformed into a set of two identical real one-dimensional quadratic maps
with a particular coupling. Hence, dynamical behavior of similar nature may
occur in coupled dissipative nonlinear systems, which relate to the Feigenbaum
universality class. To substantiate the feasibility of this concept, we
consider an electronic system, which exhibits dynamical phenomena intrinsic to
complex analytic maps. Experimental results are presented, providing the
Mandelbrot set in the parameter plane of this physical system.Comment: 9 pages, 3 figure
Big Corrections from a Little Higgs
We calculate the tree-level expressions for the electroweak precision
observables in the SU(5)/SO(5) littlest Higgs model. The source for these
corrections are the exchange of heavy gauge bosons, explicit corrections due to
non-linear sigma-model dynamics and a triplet Higgs VEV. Weak isospin violating
contributions are present because there is no custodial SU(2) global symmetry.
The bulk of these weak isospin violating corrections arise from heavy gauge
boson exchange while a smaller contribution comes from the triplet Higgs VEV. A
global fit is performed to the experimental data and we find that throughout
the parameter space the symmetry breaking scale is bounded by f > 4 TeV at 95%
C.L. Stronger bounds on f are found for generic choices of the high energy
gauge couplings. We find that even in the best case scenario one would need
fine tuning of less than a percent to get a Higgs mass as light as 200 GeV.Comment: 20 pages, 5 figures included, typos fixed, comments on the effects of
extra vector-like heavy fermions adde
Western Pacific international meeting and workshop on Toga Coare : proceedings
A major observational and research program is being undertaken in Darwin, Australia as part of the Tropical Ocean and Global Atmosphere (TOGA) and the National Aeronautics and Space Administration (NASA) Tropical Rainfall Measuring Mission (TRMM). Darwin is situated in northern Australia and experiences a monsoon environment typical of the maritime continent region, together with break and transition periods when continental systems are predominant. The Darwin initiative follows the recent Australian Monsoon Experiment (AMEX) and Equatorial Mesoscale Experiment (EMEX) and represents a continuing effort to gather data on the nature of convection in this strategic tropical location. (Résumé d'auteur
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Research data supporting "Ellipsoid localisation microscopy infers the size and order of protein layers in Bacillus spore coats."
This dataset contains image analysis software and sample image data in support of our work on fluorescent shell localisation. The paper is archived by the Cambridge Open Access repository at https://www.repository.cam.ac.uk/handle/1810/251107This work was supported by the EPSRC [grant number EP/L015889/1]
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