Resolving Clusters in Chaotic Ensembles of Globally Coupled Identical Oscillators
Journal Article
·
· Physical Review Letters
Clustering in ensembles of globally coupled identical chaotic oscillators is reconsidered using a twofold approach. Stability of clusters towards ''emanation'' of the elements is described with the evaporation Lyapunov exponents. It appears that direct numerical simulations of ensembles often lead to spurious clusters that have positive evaporation exponents, due to a numerical trap. We propose a numerical method that surmounts the spurious clustering. We also demonstrate that clustering can be very sensitive to the number of elements in the ensemble.
- Sponsoring Organization:
- (US)
- OSTI ID:
- 40277177
- Journal Information:
- Physical Review Letters, Vol. 87, Issue 4; Other Information: DOI: 10.1103/PhysRevLett.87.044102; Othernumber: PRLTAO000087000004044102000001; 045130PRL; PBD: 23 Jul 2001; ISSN 0031-9007
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
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