7 research outputs found
Local Analysis of Dissipative Dynamical Systems
Linear transformation techniques such as singular value decomposition (SVD)
have been used widely to gain insight into the qualitative dynamics of data
generated by dynamical systems. There have been several reports in the past
that had pointed out the susceptibility of linear transformation approaches in
the presence of nonlinear correlations. In this tutorial review, local
dispersion along with the surrogate testing is proposed to discriminate
nonlinear correlations arising in deterministic and non-deterministic settings.Comment: 85 Pages, 13 Figure