Special Session 137: Nonlinear Dynamics, Chaos, and Applications: From Fractional Systems to Astrophysical Models

From discrete to continuous modeling and from continuous to discrete modeling in gas-like models in Econophysics
Ricardo Lopez-Ruiz
Univ of Zaragoza
Spain
Co-Author(s):    Ricardo Lopez-Ruiz
Abstract:
We explore the two-way path of modeling in Econophysics. From one side, it is possible to go from the discrete model proposed by Draguslescu and Yakovenko (in the 2000`s) to the continuous Z-model proposed and studied by Lopez-Ruiz and collaborators (in the 2010`s). On the other side, it is possible to go from the continuous modified Z-model proposed by Pomeau and Lopez-Ruiz (in the 2015`s) to the discrete model recently proposed and studied by Breton-Fuertes and Lopez-Ruiz (in the 2025`s). The properties and derivations of these models will be displayed and shown in this oral communication.