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math.DS2017
Covariant geometric characterization of slow invariant manifolds: New concepts and viewpoints
Dirk Lebiedz
We point out a new view on slow invariant manifolds (SIM) in dynamical systems which departs from a purely geometric covariant characterization implying coordinate independency. Th…
math.OC2017
An online slow manifold approach for efficient optimal control of multiple time-scale kinetics
Marcus Heitel, Dirk Lebiedz
Chemical reactions modeled by ordinary differential equations are finite-dimensional dissipative dynamical systems with multiple time-scales. They are numerically hard to tackle --…