Abstract

BETANCOURT-MAR, J.A. et al. Entropy production: evolution criteria, robustness and fractal dimension. Rev. mex. fis. [online]. 2016, vol.62, n.2, pp.164-167. ISSN 0035-001X.

It was proved through Rossler 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.

Keywords : Irreversible thermodynamics; complex systems; fractal dimension.