Fig. 7: Floquet multipliers and corresponding eigendirections of the Stuart-Landau ensemble.
From: Learning emergent partial differential equations in a learned emergent space
a Absolute values of the Floquet multipliers, \(\left|{\lambda }_{i}\right|\), obtained from the monodromy matrix for the dynamics shown in Fig. 3. b Eigendirection v1 corresponding to the pair of complex conjugate multipliers λ2 and λ3 (marked in orange) indicating a slow attracting direction. c, d Eigendirections v2 and v3 corresponding to the pairs of complex conjugate multipliers λ4, λ5, and λ6, λ7, marked as green and red, indicating fast contracting directions. Note that since the Wk are complex, the directions vi are complex, with the real parts indicated as solid curves, and the imaginary parts indicated as shaded curves.
