Entropy production: evolution criteria, robustness and fractal dimension

Abstract

It was proved through Rössler model, where the funnel case is more robust tan spiral chaos, the entropy production per unit time is a Lyapunov`s function on the space of the control system parameters. It was established the conjecture of entropy production fractal dimension. The current theoretical framework will hopefully provide a better understanding of the relationship between thermodynamics and nonlinear dynamics and contribute to unify theses through complex systems theory.