PLANAS-BIELSA , Víctor

Complexity, as investigated in biology, chemistry, mathematics, physics and the humanities requires new modes of thinking, beyond the mechanistic and reductionist standards. We investigate it mostly from a philosophical point of view, tracing back some of the relevant questions to Greek philosophers. Examples are taken from probability,...

This paper includes results centered around three topics, all of them related with the nonlinear stability of equilibria in Poisson dynamical systems. Firstly, we prove an energy-Casimir type sufficient condition for stability that uses functions that are not necessarily conserved by the flow and that takes into account certain asymptotically...