Local Analysis of Dissipative Dynamical Systems

Details Local Analysis of Dissipative Dynamical Systems Local Analysis of Dissipative Dynamical Systems

2005-10-23

arxiv.org/abs/nlin/0510056v1

Nonlinear Sciences

Chaotic Dynamics

85 Pages, 13 Figures

Scientific paper

10.1142/S0218127405012971

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.

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