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Continuation of bifurcations of periodic orbits for large-scale systems
dc.contributor.author | Net Marcé, Marta |
dc.contributor.author | Sánchez Umbría, Juan |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Física Aplicada |
dc.date.accessioned | 2015-09-16T09:56:41Z |
dc.date.available | 2015-09-16T09:56:41Z |
dc.date.created | 2015-01-01 |
dc.date.issued | 2015-01-01 |
dc.identifier.citation | Net, M., Sanchez, J. Continuation of bifurcations of periodic orbits for large-scale systems. "SIAM journal on applied dynamical systems", 01 Gener 2015, núm. 2, p. 674-698. |
dc.identifier.issn | 1536-0040 |
dc.identifier.uri | http://hdl.handle.net/2117/76843 |
dc.description.abstract | A methodology to track bifurcations of periodic orbits in large-scale dissipative systems depending on two parameters is presented. It is based on the application of iterative Newton-Krylov techniques to extended systems. To evaluate the action of the Jacobian it is necessary to integrate variational equations up to second order. It is shown that this is possible by integrating systems of dimension at most four times that of the original equations. In order to check the robustness of the method, the thermal convection of a mixture of two fluids in a rectangular domain has been used as a test problem. Several curves of codimension-one bifurcations, and the boundaries of an Arnold's tongue of rotation number 1/8, have been computed. |
dc.format.extent | 25 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Física |
dc.subject.lcsh | Bifurcation theory |
dc.subject.lcsh | Continuation methods |
dc.subject.lcsh | Combinatorial dynamics |
dc.subject.other | continuation methods |
dc.subject.other | numerical computation of invariant objects |
dc.subject.other | periodic orbits |
dc.subject.other | bifurcation tracking |
dc.subject.other | extended systems |
dc.subject.other | Newton-Krylov methods |
dc.subject.other | variational equations |
dc.subject.other | NAVIER-STOKES EQUATIONS |
dc.subject.other | KRYLOV METHODS |
dc.subject.other | COMPUTATION |
dc.subject.other | POINTS |
dc.subject.other | ALGORITHM |
dc.subject.other | GMRES |
dc.subject.other | ODES |
dc.subject.other | FLOWS |
dc.title | Continuation of bifurcations of periodic orbits for large-scale systems |
dc.type | Article |
dc.subject.lemac | Bifurcació, Teoria de la |
dc.subject.lemac | Dinàmica combinatòria |
dc.contributor.group | Universitat Politècnica de Catalunya. DF - Dinàmica No Lineal de Fluids |
dc.identifier.doi | 10.1137/140981010 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://epubs.siam.org/doi/abs/10.1137/140981010 |
dc.rights.access | Open Access |
local.identifier.drac | 16827741 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Net, M.; Sanchez, J. |
local.citation.publicationName | SIAM journal on applied dynamical systems |
local.citation.volume | 14 |
local.citation.number | 2 |
local.citation.startingPage | 674 |
local.citation.endingPage | 698 |
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