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Continuation of bifurcations of cycles in dissipative PDEs

Author
Sanchez, J.; Net, M.
Type of activity
Presentation of work at congresses
Name of edition
Advanced Computational and Experimental Techniques in Nonlinear Dynamics 2015
Date of publication
2015
Presentation's date
2015-08-04
Book of congress proceedings
Advanced Computational and Experimental Techniques in Nonlinear Dynamics: Cuzco, Perú, August 3-14, 2015
First page
16
Last page
16
Repository
http://hdl.handle.net/2117/86729 Open in new window
URL
http://www.ifuap.buap.mx/eventos/Workshop15/Talks/JSU_II.pdf Open in new window
Abstract
A new efficient methodology for the continuation of the codimension-one bifurcations of periodic orbits, including pitchfork bifurcations present in reflection--symmetric systems, has been developed. It is based on the combination of Newton-Krylov techniques applied to extended systems, and the integration of systems of variational equations up to second order. The extended systems are adapted from those usually found in the literature for fixed points of maps. A deflation term is needed in some...
Citation
Sanchez, J., Net, M. Continuation of bifurcations of cycles in dissipative PDEs. A: Advanced Computational and Experimental Techniques in Nonlinear Dynamics. "Advanced Computational and Experimental Techniques in Nonlinear Dynamics: Cuzco, Perú, August 3-14, 2015". Cusco: 2015, p. 16.
Group of research
DF - Dinàmica de Fluids: formació d'estructures i aplicacions geofísiques

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