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Heteroclinic and homoclinic connections in a Kolmogorov-like flow

Heteroclinic and homoclinic connections in a Kolmogorov-like flow

Recent studies suggest that unstable recurrent solutions of the Navier-Stokes equation provide new insights into dynamics of turbulent flows. In this study, we compute an extensive network of dynamical connections between such solutions in a weakly turbulent quasi-two-dimensional Kolmogorov flow that lies in the inversion-symmetric subspace. In particular, we find …