J.A. Betancourt Mar, M. Rodríguez-Ricard, R. Mansilla, G. Cocho, José M. Nieto-Villar
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.
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