Bivariate surrogate techniques: necessity, strengths, and caveats

The concept of surrogates allows testing results from time series analysis against specified null hypotheses. In application to bivariate model dynamics we here compare different types of surrogates, each designed to test against a different null hypothesis, e.g., an underlying bivariate linear stoc...

Descripción completa

Detalles Bibliográficos
Autores: Andrzejak, Ralph Gregor, Kraskov, Alexander, Stögbauer, Harald, Mormann, Florian, Kreuz, Thomas
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2003
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10230/43634
Acceso en línea:http://hdl.handle.net/10230/43634
http://dx.doi.org/10.1103/PhysRevE.68.066202
Access Level:acceso abierto
Palabra clave:Nonlinear signal analysis
Synchronization
Surrogates
Descripción
Sumario:The concept of surrogates allows testing results from time series analysis against specified null hypotheses. In application to bivariate model dynamics we here compare different types of surrogates, each designed to test against a different null hypothesis, e.g., an underlying bivariate linear stochastic process. Two measures that aim at a characterization of interdependence between nonlinear deterministic dynamics were used as discriminating statistics. We analyze eight different stochastic and deterministic models not only to demonstrate the power of the surrogates, but also to reveal some pitfalls and limitations.