Stabilizing embedology: Geometry-preserving delay-coordinate maps
Stabilizing embedology: Geometry-preserving delay-coordinate maps
Delay-coordinate mapping is an effective and widely used technique for reconstructing and analyzing the dynamics of a nonlinear system based on time-series outputs. The efficacy of delay-coordinate mapping has long been supported by Takens' embedding theorem, which guarantees that delay-coordinate maps use the time-series output to provide a reconstruction of …