Biological algorithm for data reconstruction.
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.
Cross
Daniel J
DJ
Physics Department, Drexel University, Philadelphia, Pennsylvania 19104, USA.
Michaluk
Ryan
R
Gilmore
Robert
R
D000465:Algorithms; D055598:Chemical Phenomena; D016208:Databases, Factual; D001330:Electronic Data Processing / Q000379:methods*; D008957:Models, Genetic