Multi-core and many-core SPMD parallel algorithms for construction of basins of attraction

• Autorzy: Silveira Marcos , Gonçalves Paulo J.P. , Balthazar José M.

Identyfikatory

DOI

10.15632/jtam-pl/112463

• Języki publikacji: EN

Abstrakty

EN

Construction of basins of attraction, used for the analysis of nonlinear dynamical systems which present multistability, are computationaly very expensive. Because of the long runtime needed, in many cases, the construction of basins does not have any practical use. Numerical time integration is currently the bottleneck of algorithms used for the construction of such basins. The integrations related to each set of initial conditions are independent of each other. The assignment of each integration to a separate thread seems very attractive, and parallel algorithms which use this approach to construct the basins are presented here. Two versions are considered, one for multi-core and another for many-core architectures, both based on a SPMD approach. The algorithm is tested on three systems, the classic nonlinear Duffing system, a non-ideal system exhibiting the Sommerfeld effect and an immunodynamic system. The results for all examples demonstrate the versatility of the proposed parallel algorithm, showing that the multi-core parallel algorithm using MPI has nearly an ideal speedup and efficiency.

Słowa kluczowe

EN

basins of attraction; MPI; CUDA; Duffing equation; Sommerfeld effect; mmunodynamics

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2019
• Tom: Vol. 57 nr 4
• Strony: 1067--1079
• Opis fizyczny: Bibliogr. 27 poz., rys.

Twórcy

autor

Silveira Marcos

• São Paulo State University – UNESP, Faculty of Engineering, Bauru, Brazil

autor

Gonçalves Paulo J.P.

• São Paulo State University – UNESP, Faculty of Engineering, Bauru, Brazil

autor

Balthazar José M.

• São Paulo State University – UNESP, Faculty of Engineering, Bauru, Brazil

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).