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Different Methods of Partitioning the Phase Space of a Dynamic System
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 93 - Number 15 |
| Year of Publication: 2014 |
| Authors: Abir Hadriche, Nawel Jmail, Ridha Elleuch |
10.5120/16288-5931
|
Abir Hadriche, Nawel Jmail, Ridha Elleuch . Different Methods of Partitioning the Phase Space of a Dynamic System. International Journal of Computer Applications. 93, 15 ( May 2014), 1-5. DOI=10.5120/16288-5931
Abstract
In the symbolic dynamic, the principal problem to define a symbolic sequence of temporel time series is the use of an appropriate partition of the phase space trajectory data set. In fact, The best way is to estimate the generating partition. However, it is not possible to find generating partitions for most experimental observations because such partitions do not exist when noise is present. In this paper, different partition methods applied for stochastic and chaotic system will be compared in order to choose the coherent one to conserve system dynamical propriety. This partition is called the Markov partition.
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