1,721,004 research outputs found
Some theoretical reasonings on the use and abuse of empirical data for vehicular traffic modelling
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Hyperbolicity analysis of a class of dynamical systems modelling traffic flow
No full textAbstractThis work deals with modelling and qualitative analysis of a class of deterministic dynamical systems in traffic flow consisting in the mass conservation equation closed by a phenomenological model describing the trend of drivers to equilibrium. The analysis is developed with the aim of analyzing their hyperbolic structure
On a class of nonlinear stochastic dynamical systems: analysis of the transient behaviour
No full textAbstractA class of nonlinear dynamical systems with random parameters and initial conditions is considered. The transient time evolution of the mean value of the dependent variable is analyzed both by means of the stochastic averaging method and by Adomian's decomposition method. A proof of the equivalence of the decomposition method to the time series approximation of the dynamical response is provided. An application is made to the Van der Pol equation and finally a comparison between the two previously discussed methods is given
Sulle precessioni generalizzate pseudoregolari di un corpo rigido in un campo di forze di tipo newtoniano
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