Inherent Frequency and Spatial Decomposition of the Lorenz Chaotic Attractor
Álvarez, G, Li, S, Lü, JH and Chen, GR (2004) Inherent Frequency and Spatial Decomposition of the Lorenz Chaotic Attractor arXiv.
Available under License : See the attached licence file.
This letter suggests a new way to investigate 3-D chaos in spatial and frequency domains simultaneously. After spatially decomposing the Lorenz attractor into two separate scrolls with peaked spectra and a 1-D discrete-time zero-crossing series with a wide-band spectrum, it is found that the Lorenz chaotic attractor has an inherent frequency uniquely determined by the three system parameters. This result implies that chaos in the Lorenz attractor is mainly exhibited when the trajectory crosses from one scroll to another, not within the two scrolls. This is also true for some other double-scroll Lorenz-like chaotic attractors, such as Chua's attractor. Some possible applications of the inherent frequency and the spatial decomposition are also discussed.
|Divisions :||Faculty of Engineering and Physical Sciences|
|Date :||17 June 2004|
|Related URLs :|
|Additional Information :||This is an arXiv version of the paper.|
|Depositing User :||Symplectic Elements|
|Date Deposited :||26 Aug 2015 12:51|
|Last Modified :||26 Aug 2015 12:51|
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