Charge density: A probe for the nuclear interaction in microscopic transport models

The transport properties of the ³⁶Ar +⁵⁸Ni system at measured with the INDRA array, are studied within the BNV kinetic equation. A general protocol of comparison between the N-body experimental fragment information and the one-body distribution function is developed using global variables, with a special focus on charge density. This procedure avoids any definition of sources and any use of an afterburner in the simulation. We shall discuss the feasibility of such an approach and the distortions induced by the finite detection efficiency and the completeness requirements of the data selection. The sensitivity of the different global observables to the macroscopic parameters of the effective nuclear interaction will be studied in detail.Received: 21 January 2003, Published online: 5 August 2003PACS: 25.70.-z Low and intermediate energy heavy-ion reactions - 24.10.-i Nuclear reaction models and methodsN. Le Neindre: Permanent address: Institut de Physique Nuclaire, IN2P3-CNRS, F-91406 Orsay cedex, France.     

Continuous pricing in oligopoly

The continuous dynamics of competing firms in an oligopoly market is studied in terms of the Cournot theory. The Bogoyavlensky qualitative methods of multidimensional dynamical systems (the maximally nondegenerate compactification) are used in the analysis of the system where x_i and π_i(x₁, …, x_N) is output and profit of the ith firm, respectively. The exact solutions of this model are found. We show that the number of critical points and their character are preserved under changing of the system dimension N. The phase portrait with the Poincaré compactification for the duopoly model is constructed. We also show the structural stability of this model.