Journal
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
Volume 80, Issue -, Pages 76-81Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijnonlinmec.2015.10.016
Keywords
Parallel programming; Computing performance; Duffing's equation; Basins of attraction; Attractors; MPI
Categories
Funding
- Italian Ministry of Education, University and Research (MIUR) by the PRIN [2010/11 N.2010MBJK5B]
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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. (C) 2015 Elsevier Ltd. All rights reserved.
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