On the multiple shooting continuation of periodic orbits by Newton-Krylov methods

Sánchez Umbría, Juan; Net Marcé, Marta

doi:10.1142/S0218127410025399

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Sánchez Umbría, Juan

Net Marcé, Marta

Document typeArticle

Date issued2010

Rights accessRestricted access - publisher's policy

Abstract

The application of the multiple shooting method to the continuation of periodic orbits in large-scale dissipative systems is analyzed. A preconditioner for the linear systems which appear in the application of Newton’s method is presented. It is based on the knowledge of invariant subspaces of the Jacobians at nearby solutions. The possibility of speeding up the process by using parallelism is studied for the thermal convection of a binary mixture of fluids in a rectangular domain, with positive results.

CitationSánchez, J.; Net, M. On the multiple shooting continuation of periodic orbits by Newton-Krylov methods. "International journal of bifurcation and chaos", 2010, vol. 20, núm. 1, p. 43-61.

URIhttp://hdl.handle.net/2117/11730

DOI10.1142/S0218127410025399

ISSN0218-1274

Publisher versionhttp://www.worldscinet.com/ijbc/20/2001/S0218127410025399.html

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