Literature DB >> 2330029

Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series.

G Sugihara1, R M May.   

Abstract

An approach is presented for making short-term predictions about the trajectories of chaotic dynamical systems. The method is applied to data on measles, chickenpox, and marine phytoplankton populations, to show how apparent noise associated with deterministic chaos can be distinguished from sampling error and other sources of externally induced environmental noise.

Mesh:

Year:  1990        PMID: 2330029     DOI: 10.1038/344734a0

Source DB:  PubMed          Journal:  Nature        ISSN: 0028-0836            Impact factor:   49.962


  117 in total

1.  Residual delay maps unveil global patterns of atmospheric nonlinearity and produce improved local forecasts.

Authors:  G Sugihara; M Casdagli; E Habjan; D Hess; P Dixon; G Holland
Journal:  Proc Natl Acad Sci U S A       Date:  1999-12-07       Impact factor: 11.205

Review 2.  Unanswered questions in ecology.

Authors:  R May
Journal:  Philos Trans R Soc Lond B Biol Sci       Date:  1999-12-29       Impact factor: 6.237

3.  Cycles and trends in cod populations.

Authors:  O N Bjørnstad; J M Fromentin; N C Stenseth; J Gjøsaeter
Journal:  Proc Natl Acad Sci U S A       Date:  1999-04-27       Impact factor: 11.205

4.  Titration of chaos with added noise.

Authors:  C S Poon; M Barahona
Journal:  Proc Natl Acad Sci U S A       Date:  2001-06-19       Impact factor: 11.205

5.  Approximating Markov chains.

Authors:  S M Pincus
Journal:  Proc Natl Acad Sci U S A       Date:  1992-05-15       Impact factor: 11.205

Review 6.  Population growth rates: issues and an application.

Authors:  H Charles J Godfray; Mark Rees
Journal:  Philos Trans R Soc Lond B Biol Sci       Date:  2002-09-29       Impact factor: 6.237

7.  Anatomy of a chaotic attractor: subtle model-predicted patterns revealed in population data.

Authors:  Aaron A King; R F Costantino; J M Cushing; Shandelle M Henson; Robert A Desharnais; Brian Dennis
Journal:  Proc Natl Acad Sci U S A       Date:  2003-12-17       Impact factor: 11.205

8.  Differentiation of linearly correlated noise from chaos in a biologic system using surrogate data.

Authors:  S J Schiff; T Chang
Journal:  Biol Cybern       Date:  1992       Impact factor: 2.086

9.  Tracking and forecasting ecosystem interactions in real time.

Authors:  Ethan R Deyle; Robert M May; Stephan B Munch; George Sugihara
Journal:  Proc Biol Sci       Date:  2016-01-13       Impact factor: 5.349

10.  Effect of age on complexity and causality of the cardiovascular control: comparison between model-based and model-free approaches.

Authors:  Alberto Porta; Luca Faes; Vlasta Bari; Andrea Marchi; Tito Bassani; Giandomenico Nollo; Natália Maria Perseguini; Juliana Milan; Vinícius Minatel; Audrey Borghi-Silva; Anielle C M Takahashi; Aparecida M Catai
Journal:  PLoS One       Date:  2014-02-24       Impact factor: 3.240

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