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Optimized spectral estimation for nonlinear synchronizing systems.

Authors
  • Sommerlade, Linda
  • Mader, Malenka
  • Mader, Wolfgang
  • Timmer, Jens
  • Thiel, Marco
  • Grebogi, Celso
  • Schelter, Björn
Type
Published Article
Journal
Physical Review E
Publisher
American Physical Society
Publication Date
Mar 01, 2014
Volume
89
Issue
3
Pages
32912–32912
Identifiers
PMID: 24730918
Source
Medline
License
Unknown

Abstract

In many fields of research nonlinear dynamical systems are investigated. When more than one process is measured, besides the distinct properties of the individual processes, their interactions are of interest. Often linear methods such as coherence are used for the analysis. The estimation of coherence can lead to false conclusions when applied without fulfilling several key assumptions. We introduce a data driven method to optimize the choice of the parameters for spectral estimation. Its applicability is demonstrated based on analytical calculations and exemplified in a simulation study. We complete our investigation with an application to nonlinear tremor signals in Parkinson's disease. In particular, we analyze electroencephalogram and electromyogram data.

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