Nicolis G., Daems D.
Center for Nonlinear Phenomena and Complex Systems, Universite Libre de Bruxelles, Campus Plaine CP 231, 1050 Brussels, Belgium.
Chaos. 1998 Jun;8(2):311-320. doi: 10.1063/1.166313.
The probabilistic approach to dynamical systems giving rise to irreversible behavior at the macroscopic, mesoscopic, and microscopic levels of description is outlined. Signatures of the complexity of the underlying dynamics on the spectral properties of the Liouville, Frobenius-Perron, and Fokker-Planck operators are identified. Entropy and entropy production-like quantities are introduced and the connection between their properties in nonequilibrium steady states and the characteristics of the dynamics in phase space are explored. (c) 1998 American Institute of Physics.
