57,161 research outputs found
Simulation of Chua's Circuit by Means of Interval Analysis
The Chua's circuit is a paradigm for nonlinear scientific studies. It is
usually simulated by means of numerical methods under IEEE 754-2008 standard.
Although the error propagation problem is well known, little attention has been
given to the relationship between this error and inequalities presented in
Chua's circuit model. Taking the average of round mode towards and
, we showed a qualitative change on the dynamics of Chua's circuit.Comment: 6th International Conference on Nonlinear Science and Complexity -
S\~ao Jos\'e dos Campos, 2016, p. 1-
The Phillips - Barger model for the elastic cross section and the Odderon
Inspired by the recent TOTEM data for the elastic proton -- proton ()
scattering at 8 and 13 TeV, we update previous studies of the
differential cross sections using the Phillips -- Barger (PB) model, which
parametrizes the amplitude in terms of a small number of free parameters. We
demonstrate that this model is able to describe the recent data on a
statistically acceptable way. Additionally, we perform separate fits of the
data for each center - of - mass energy and propose a parametrization for
the energy dependence of the parameters present in the PB model. As a
consequence, we are able to present the PB predictions for the elastic proton -
proton cross section at GeV and TeV, which are compared
with the existing antiproton -- proton () data. We show that the PB
predictions, constrained by the data, are not able to describe the
data. In particular, the PB model predicts a dip in the differential
cross section that is not present in the data. Such result suggests
the contribution of the Odderon exchange at high energies.Comment: 6 pages, 4 tables, 2 figures, results updated, matches published
versio
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