23,178 research outputs found

    Alternative determinism principle for topological analysis of chaos

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    The topological analysis of chaos based on a knot-theoretic characterization of unstable periodic orbits has proved a powerful method, however knot theory can only be applied to three-dimensional systems. Still, the core principles upon which this approach is built, determinism and continuity, apply in any dimension. We propose an alternative framework in which these principles are enforced on triangulated surfaces rather than curves and show that in dimension three our approach numerically predicts the correct topological entropies for periodic orbits of the horseshoe map.Comment: Accepted for publication as Rapid Communication in Physical Review

    Environmental variables, pesticide pollution and meiofaunal community structure in two contrasting temporarily open/closed false bay estuaries

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    Environmental variables (including natural and anthropogenic stressors) and meiobenthic communities were sampled in a ‘natural’ (Rooiels) and a ‘disturbed’ (Lourens) estuary in the Western Cape, South Africa, bimonthly for 20 months. A primary aim of the study was to assess if the meiobenthic community structure is driven by different variables when comparing ‘natural’ versus ‘disturbed’ system. Due to the much smaller catchment of the Rooiels Estuary, many environmental variables were significantly different (p<0.001) from the variables in the Lourens Estuary, e.g. salinity, temperature, pH, total suspended solids, nitrate and depth. No pesticide concentrations were expected in the Rooiels Estuary due to the absence of agricultural development in the catchment. However, chlorpyrifos (8.9 ”g/kg), prothiofos (22.0 ”g/kg) and cypermethrin concentrations (0.42 ”g/kg) were detected frequently, with the highest concentrations recorded during the summer months. Principal response curve analysis showed that temporal variability between sampling dates explained 42% of the variance in environmental variables and pesticide concentrations and spatial variability between the 2 estuaries explained 58%. Variables contributing most to the differences were higher concentrations of endosulfan, p,p-DDE and nitrate concentrations in the Lourens Estuary and larger grain size and higher salinity at the bottom in the Rooiels Estuary. In general the meiofaunal community in the Rooiels Estuary showed a significantly higher number of taxa (p<0.001), a significantly higher Shannon Wiener Diversity Index (

    Asymptotic Exit Location Distributions in the Stochastic Exit Problem

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    Consider a two-dimensional continuous-time dynamical system, with an attracting fixed point SS. If the deterministic dynamics are perturbed by white noise (random perturbations) of strength Ï”\epsilon, the system state will eventually leave the domain of attraction Ω\Omega of SS. We analyse the case when, as ϔ→0\epsilon\to0, the exit location on the boundary ∂Ω\partial\Omega is increasingly concentrated near a saddle point HH of the deterministic dynamics. We show that the asymptotic form of the exit location distribution on ∂Ω\partial\Omega is generically non-Gaussian and asymmetric, and classify the possible limiting distributions. A key role is played by a parameter ÎŒ\mu, equal to the ratio ∣λs(H)∣/λu(H)|\lambda_s(H)|/\lambda_u(H) of the stable and unstable eigenvalues of the linearized deterministic flow at HH. If ÎŒ<1\mu<1 then the exit location distribution is generically asymptotic as ϔ→0\epsilon\to0 to a Weibull distribution with shape parameter 2/ÎŒ2/\mu, on the O(ϔΌ/2)O(\epsilon^{\mu/2}) length scale near HH. If ÎŒ>1\mu>1 it is generically asymptotic to a distribution on the O(Ï”1/2)O(\epsilon^{1/2}) length scale, whose moments we compute. The asymmetry of the asymptotic exit location distribution is attributable to the generic presence of a `classically forbidden' region: a wedge-shaped subset of Ω\Omega with HH as vertex, which is reached from SS, in the ϔ→0\epsilon\to0 limit, only via `bent' (non-smooth) fluctuational paths that first pass through the vicinity of HH. We deduce from the presence of this forbidden region that the classical Eyring formula for the small-Ï”\epsilon exponential asymptotics of the mean first exit time is generically inapplicable.Comment: This is a 72-page Postscript file, about 600K in length. Hardcopy requests to [email protected] or [email protected]

    AAA gunnermodel based on observer theory

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    The Luenberger observer theory is used to develop a predictive model of a gunner's tracking response in antiaircraft artillery systems. This model is composed of an observer, a feedback controller and a remnant element. An important feature of the model is that the structure is simple, hence a computer simulation requires only a short execution time. A parameter identification program based on the least squares curve fitting method and the Gauss Newton gradient algorithm is developed to determine the parameter values of the gunner model. Thus, a systematic procedure exists for identifying model parameters for a given antiaircraft tracking task. Model predictions of tracking errors are compared with human tracking data obtained from manned simulation experiments. Model predictions are in excellent agreement with the empirical data for several flyby and maneuvering target trajectories

    One hundred ten consecutive primary orthotopic liver transplants under FK 506 in adults.

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    An account is given of the 6- to 12-month survival, and causes of failure in 110 consecutive patients who underwent primary liver transplantation under treatment from the outset with FK 506 and steroids. The patient survival is 92.7%, and the first graft survival is 87.3%. At a very high frequency, the patients achieved good graft function, and they had a relatively low morbidity that was partially ascribable to minimal use and early discontinuance (in 60% of cases) of steroids. Renal dysfunction and other adverse findings were largely confined to patients with poor initial graft function and consequent apparent alteration of the kinetics of FK 506 elimination, causing functional overdosage. Results compare very favorably with our past record using conventional immunosuppression, and support the belief that FK 506 is a superior immunosuppressive agent which is suitable for chronic administration

    High Density Mesoscopic Atom Clouds in a Holographic Atom Trap

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    We demonstrate the production of micron-sized high density atom clouds of interest for meso- scopic quantum information processing. We evaporate atoms from 60 microK, 3x10^14 atoms/cm^3 samples contained in a highly anisotropic optical lattice formed by interfering di racted beams from a holographic phase plate. After evaporating to 1 microK by lowering the con ning potential, in less than a second the atom density reduces to 8x10^13 cm^- 3 at a phase space density approaching unity. Adiabatic recompression of the atoms then increases the density to levels in excess of 1x10^15 cm^-3. The resulting clouds are typically 8 microns in the longest dimension. Such samples are small enough to enable mesoscopic quantum manipulation using Rydberg blockade and have the high densities required to investigate new collision phenomena.Comment: 4 pages, 4 figures, submitted to PR
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