On the Characterization of the Scaling Behavior of Dissipative Dynamical Systems through a Generalized Entropy

Abstract

Different aspects of the scaling behavior of a dissipative dynamical system arc obtained in a straightforward way from the associated generalized entropy function which, in this way, embodies the relevant information on the scaling behavior of the system. This is demonstrated by the application of the thermodynamic formalism to two model systems for each of which, however, a specific numerical approach must be followed in order to overcome the numerical problems.