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A first parallel programming approach in basins of attraction computation |
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| Institution: | 1. Valahia University of Târgovişte, Department of Mathematics, Bd. Unirii 18, 130082 Târgovişte, Romania;2. Academy of Romanian Scientists, Splaiul Independenţei 54, 050094 Bucharest, Romania;3. Universidad de Costa Rica, Department of Mathematics, San Jose, Costa Rica;1. Departamento de Física Aplicada, ICMUV, Universidad de Valencia, Dr. Moliner 50, Burjassot E-46100, Spain;2. Instituto de Física Rosario (CONICET-UNR), Blvr. 27 de Febrero 210bis, S2000EZP Rosario, Argentina;3. Pontificia Universidad Católica Argentina, Facultad de Química e Ingeniería, Av. Pellegrini 3314, 2000 Rosario, Argentina;1. Laboratório Nacional de Computação Científica, Av. Getúlio Vargas, 333 – Quitandinha, Petrópolis, RJ 25651-070 Brazil;2. Fundação Instituto de Pesca do Estado do Rio de Janeiro, Rua Aílton da Costa, no 115, s. 606, Duque de Caxias, RJ 25071-160, Brazil;3. Setor de Ecologia, Departamento de Biologia, Universidade Federal de Lavras, Lavras, MG 37200-000, Brazil |
| Abstract: | The paper focuses on the development of a numerical code for the computation of basins of attraction by using the parallel programming. Two different approaches based on the massage passing interface (MPI) standard are presented; the performance analysis presented encourages us to use a massive communication between nodes only for a few-cores architecture. The critical issues arising from the study of a generic dynamical system are discussed while the computation of basins is performed on a benchmark system described by Duffing׳s equation. We paid attention at the optimization of the computing time as well as the work time load on each node in order to develop a performing and portable code. For the presented codes, both the scalability with an implementation on a professional cluster and the capabilities of the parallelism in the elaborations of basins with a large set of initial conditions have been tested. |
| Keywords: | Parallel programming Computing performance Duffing׳s equation Basins of attraction Attractors MPI |
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