Document Type

Journal Article

Role

Author

Standard Number

1539-3755

Journal Title

Physical Review E

Volume

81

Issue

3

First Page

036217

Last Page

036225

Publication Date

2010

Abstract

An algorithm inspired by Genome sequencing is proposed which “reconstructs” a single long trajectory of a dynamical system from many short trajectories. This procedure is useful in situations when many data sets are available but each is insufficiently long to apply a meaningful analysis directly. The algorithm is applied to the Rössler and Lorenz dynamical systems as well as to experimental data taken from the Belousov-Zhabotinskii chemical reaction. Topological information was reliably extracted from each system and geometrical and dynamical measures were computed.

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