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dc.contributor.CRUESPUNIVERSIDADE DE ESTADUAL DE CAMPINASpt_BR
dc.identifier.isbn1878-7274pt
dc.typeResenhapt_BR
dc.titleNumerical Characterization Of Nonlinear Dynamical Systems Using Parallel Computing: The Role Of Gpus Approachpt_BR
dc.contributor.authorFazanaropt_BR
dc.contributor.authorFI; Sorianopt_BR
dc.contributor.authorDC; Suyamapt_BR
dc.contributor.authorR; Madridpt_BR
dc.contributor.authorMK; de Oliveirapt_BR
dc.contributor.authorJR; Munozpt_BR
dc.contributor.authorIB; Attuxpt_BR
dc.contributor.authorRpt_BR
unicamp.author.emailfilipe.fazanaro@gmail.com; diogo.soriano@ufabc.edu.br; ricardo.suyama@ufabc.edu.br; madrid@dsce.fee.unicamp.br; jro@dca.fee.unicamp.br; ibravo@depeca.uah.es; attux@dca.fee.unicamp.brpt_BR
dc.subjectChaospt_BR
dc.subjectCudapt_BR
dc.subjectDuffing Oscillatorpt_BR
dc.subjectCpu Computingpt_BR
dc.subjectLagrangian Coherent Structurespt_BR
dc.subjectLyapunov Bifurcation Diagrampt_BR
dc.subjectLyapunov Exponentspt_BR
dc.subjectParallel Computingpt_BR
dc.subjectParameter Spacept_BR
dc.description.abstractThe characterization of nonlinear dynamical systems and their attractors in terms of invariant measures, basins of attractions and the structure of their vector fields usually outlines a task strongly related to the underlying computational cost. In this work, the practical aspects related to the use of parallel computing - specially the use of Graphics Processing Units (CPUs) and of the Compute Unified Device Architecture (CUDA) - are reviewed and discussed in the context of nonlinear dynamical systems characterization. In this work such characterization is performed by obtaining both local and global Lyapunov exponents for the classical forced Duffing oscillator. The local divergence measure was employed by the computation of the Lagrangian Coherent Structures (LCSs), revealing the general organization of the flow according to the obtained separatrices, while the global Lyapunov exponents were used to characterize the attractors obtained under one or more bifurcation parameters. These simulation sets also illustrate the required computation time and speedup gains provided by different parallel computing strategies, justifying the employment and the relevance of GPUs and CUDA in such extensive numerical approach. Finally, more than simply providing an overview supported by a representative set of simulations, this work also aims to be a unified introduction to the use of the mentioned parallel computing tools in the context of nonlinear dynamical systems, providing codes and examples to be executed in MATLAB and using the CUDA environment, something that is usually fragmented in different scientific communities and restricted to specialists on parallel computing strategies. (C) 2016 Elsevier B.V. All rights reserved.en
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulationpt_BR
dc.publisher.cityAMSTERDAMpt_BR
dc.publisherELSEVIER SCIENCE BVpt_BR
dc.date.issued2016pt_BR
dc.identifier.citationCommunications In Nonlinear Science And Numerical Simulation. ELSEVIER SCIENCE BV, n. 37, p. 143 - 162.pt_BR
dc.language.isoEnglishpt_BR
dc.description.volume37pt_BR
dc.description.firstpage143pt_BR
dc.description.lastpage162pt_BR
dc.rightsfechadopt_BR
dc.sourceWOSpt_BR
dc.identifier.issn1007-5704pt_BR
dc.identifier.wosidWOS:000371316800011pt_BR
dc.identifier.doi10.1016/j.cnsns.2015.12.0211007pt_BR
dc.identifier.urlhttp://www-sciencedirect-com.ez88.periodicos.capes.gov.br/science/article/pii/S1007570416000071pt_BR
dc.description.sponsorshipFAPESP [2012/09624-4, 2014/09954-0, 2012/50799-2]pt_BR
dc.description.sponsorshipCNPq [449699/2014-5, 449467/2014-7, 302890/2012-2]pt_BR
dc.description.sponsorshipUFABCpt_BR
dc.description.sponsorshipCAPESpt_BR
dc.description.sponsorshipEINTA - Entornos Inteligentes en las Tecnologias de la Asistencia [PHB2006-0077-PC]pt_BR
dc.description.sponsorship1Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)pt_BR
dc.description.sponsorship1Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)pt_BR
dc.description.sponsorship1Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)pt_BR
dc.date.available2016-12-06T18:30:56Z-
dc.date.accessioned2016-12-06T18:30:56Z-
dc.description.provenanceMade available in DSpace on 2016-12-06T18:30:56Z (GMT). No. of bitstreams: 1 000371316800011.pdf: 4504020 bytes, checksum: 1d902b9a463bd787f931fa0f41adfafb (MD5) Previous issue date: 2016en
dc.identifier.urihttp://repositorio.unicamp.br/jspui/handle/REPOSIP/320169-
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