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Phys. Rev. E 81, 036217 (2010) [8 pages]

Biological algorithm for data reconstruction

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Daniel J. Cross, Ryan Michaluk, and Robert Gilmore
Physics Department, Drexel University, Philadelphia, Pennsylvania 19104, USA

Received 5 June 2009; revised 8 January 2010; published 24 March 2010

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.

© 2010 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.81.036217
DOI:
10.1103/PhysRevE.81.036217
PACS:
05.45.Tp, 05.45.Pq