A fully adaptive methodology is developed for reducing the complexity oflarge dissipative systems. This represents a significant step towardsextracting essential physical knowledge from complex systems, by addressing thechallenging problem of a minimal number of variables needed to exactly capturethe system dynamics. Accurate reduced description is achieved, by constructionof a hierarchy of slow invariant manifolds, with an embarrassingly simpleimplementation in any dimension. The method is validated with the auto-ignitionof the hydrogen-air mixture where a reduction to a cascade of slow invariantmanifolds is observed.
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