18,919 research outputs found

    A unification in the theory of linearization of second order nonlinear ordinary differential equations

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    In this letter, we introduce a new generalized linearizing transformation (GLT) for second order nonlinear ordinary differential equations (SNODEs). The well known invertible point (IPT) and non-point transformations (NPT) can be derived as sub-cases of the GLT. A wider class of nonlinear ODEs that cannot be linearized through NPT and IPT can be linearized by this GLT. We also illustrate how to construct GLTs and to identify the form of the linearizable equations and propose a procedure to derive the general solution from this GLT for the SNODEs. We demonstrate the theory with two examples which are of contemporary interest.Comment: 8 page

    A Method to Tackle First Order Differential Equations with Liouvillian Functions in the Solution - II

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    We present a semi-decision procedure to tackle first order differential equations, with Liouvillian functions in the solution (LFOODEs). As in the case of the Prelle-Singer procedure, this method is based on the knowledge of the integrating factor structure.Comment: 11 pages, late

    Probing the strange Higgs coupling at lepton colliders using light-jet flavor tagging

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    We propose a method to probe the coupling of the Higgs to strange quarks by tagging strange jets at future lepton colliders. For this purpose we describe a jet-flavor observable, JFJ_F, that is correlated with the flavor of the quark associated with the hard part of the jet. Using this variable, we set up a strangeness tagger aimed at studying the decay h→ssˉh\to s\bar{s}. We determine the sensitivity of our method to the strange Yukawa coupling, and find it to be of the order of the standard-model expectation.Comment: 6 pages, v2 accepted for publication in PR

    On statistical properties of traded volume in financial markets

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    In this article we study the dependence degree of the traded volume of the Dow Jones 30 constituent equities by using a nonextensive generalised form of the Kullback-Leibler information measure. Our results show a slow decay of the dependence degree as a function of the lag. This feature is compatible with the existence of non-linearities in this type time series. In addition, we introduce a dynamical mechanism whose associated stationary probability density function (PDF) presents a good agreement with the empirical results.Comment: 6 pages, 4 figures, 1 table. Based on the talk presented at "News, Expectations and Trends in Statistical Physics, NEXT-SigmaPhi 3rd International Conference. 13-18 August 2005, Kolymbari CRETE" Multi-fractal analysis section remove
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