Document Detail

The danger of wishing for chaos.
MedLine Citation:
PMID:  16194299     Owner:  NLM     Status:  PubMed-not-MEDLINE    
With the discovery of chaos came the hope of finding simple models that would be capable of explaining complex phenomena. Numerous papers claimed to find low-dimensional chaos in a number of areas ranging from the weather to the stock market. Years later, many of these claims have been disproved and the fantastic hopes pinned on chaos have been toned down as research with more realistic objectives follows. The difficulty in calculating reliable estimates of the correlation dimension and the maximal Lyapunov exponent, two of the hallmarks of chaos, are explored. Given that nonlinear dynamics is a relatively new and growing field of science, the need for statistical testing is greater than ever. Surrogate data provides one possible approach but great care is needed in generating relevant surrogates and in interpreting the results. Examples of misleading applications and challenges for the future of research in nonlinear dynamics are discussed.
Patrick McSharry
Related Documents :
17155019 - Direct observation of a precursor in a complex system.
1599139 - Spatial orientation of the vestibular system.
10504139 - Southern tibet detachment system at khula kangri, eastern himalaya: a large-area, shall...
12780249 - Homoclinic connections and period doublings of a ship advancing in quartering waves.
12780239 - Nonlinear noise reduction for electrocardiograms.
20370309 - Correlated wishart ensembles and chaotic time series.
22541049 - Transport phenomena in chaotic laminar flows.
23410349 - Evolution of the discontinuous anchoring transition under an electric field.
21258459 - Corrections to linear methods for diffuse optical tomography using approximation error ...
Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Nonlinear dynamics, psychology, and life sciences     Volume:  9     ISSN:  1090-0578     ISO Abbreviation:  Nonlinear Dynamics Psychol Life Sci     Publication Date:  2005 Oct 
Date Detail:
Created Date:  2005-09-30     Completed Date:  2005-12-13     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  9704130     Medline TA:  Nonlinear Dynamics Psychol Life Sci     Country:  United States    
Other Details:
Languages:  eng     Pagination:  375-97     Citation Subset:  -    
Department of Engineering Science, University of Oxford, UK.
Export Citation:
APA/MLA Format     Download EndNote     Download BibTex
MeSH Terms

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine

Previous Document:  Role of cofactors in metalloprotein folding.
Next Document:  Nonlinear dynamical analysis of noisy time series.