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Título:
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Continuation of bifurcations of periodic orbits for large-scale systems
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Autor/a:
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Net Marcé, Marta; Sánchez Umbría, Juan
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Otros autores:
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Universitat Politècnica de Catalunya. Departament de Física Aplicada; Universitat Politècnica de Catalunya. DF - Dinàmica No Lineal de Fluids |
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Abstract:
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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. |
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Abstract:
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Peer Reviewed |
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Materia(s):
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-Àrees temàtiques de la UPC::Física
-Bifurcation theory
-Continuation methods
-Combinatorial dynamics
-continuation methods
-numerical computation of invariant objects
-periodic orbits
-bifurcation tracking
-extended systems
-Newton-Krylov methods
-variational equations
-NAVIER-STOKES EQUATIONS
-KRYLOV METHODS
-COMPUTATION
-POINTS
-ALGORITHM
-GMRES
-ODES
-FLOWS
-Bifurcació, Teoria de la
-Dinàmica combinatòria |
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Derechos:
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Tipo de documento:
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Artículo - Versión presentada
Artículo |
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