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Estimating Long-Term Behavior of Flows without Trajectory Integration: The Infinitesimal Generator Approach
SIAM Journal on Numerical Analysis
The long-term distributions of trajectories of a flow are described by invariant densities, i.e. fixed points of an associated transfer operator. In addition, global slowly mixing structures, such as almost-invariant sets, which partition phase space into regions that are almost dynamically disconnected, can also be identified by certain eigenfunctions of this operator. Indeed, these structures are often hard to obtain by brute-force trajectory-based analyses. In a wide variety of applications,doi:10.1137/110819986 fatcat:csxibrgsfzcizpbxvlyd3qvteu