title: Adaptive simplification of complex multiscale systems.
abstract: A fully adaptive methodology is developed for reducing the complexity of large dissipative systems. This represents a significant step toward extracting essential physical knowledge from complex systems, by addressing the challenging problem of a minimal number of variables needed to exactly capture the system dynamics. Accurate reduced description is achieved, by construction of a hierarchy of slow invariant manifolds, with an embarrassingly simple implementation in any dimension. The method is validated with the autoignition of the hydrogen-air mixture where a reduction to a cascade of slow invariant manifolds is observed.
authors.affiliation: Department of Energetics, Politecnico di Torino, 10129 Torino, Italy. eliodoro.chiavazzo@polito.it
authors.forename: Eliodoro
authors.initials: E
authors.lastname: Chiavazzo
authors.forename: Ilya
authors.initials: I
authors.lastname: Karlin
mesh_terms: D000388:Air; D006859:Hydrogen / Q000737:chemistry; D007700:Kinetics; D008956:Models, Chemical; D015203:Reproducibility of Results; D013816:Thermodynamics
chemical_list: D006859:Hydrogen