dc.contributor |
Gomila Villalonga, Damià Agustí |
|
dc.contributor.author |
Moreno Spiegelberg, Pablo |
|
dc.date |
2020 |
|
dc.date.accessioned |
2022-01-24T11:20:18Z |
|
dc.date.available |
2022-01-24T11:20:18Z |
|
dc.date.issued |
2019-11-09 |
|
dc.identifier.uri |
http://hdl.handle.net/11201/156910 |
|
dc.description.abstract |
[eng] Some spatial dinamical systems exhibit, for close values of the parameter, diffusion drive instability (Turing bifurcation) and a Homoclinic bifurcation of the
homogeneous solution. However, the interaction between these bifurcations has
not been studied in detail in the literature. In this thesis we explore the interaction between a Turing and a Homoclinic bifurcation in a Reaction-Diffusion
system. For this purpose we incorporate a diffusion term to the normal form for
the Cusp Takens-Bogdanov codimension-3 point, in such a way that a Turing
instability might occur. We analyse the spatio-temporal bifurcations and their
interactions. These bifurcation curves converge in a new high codimension point,
that we call Turin-Takens-Bogdanov point. The system shows a wide variety of
stable solutions such as steady patterns, homogeneous oscilatory states , different more complex spatio-temporal periodic solution, pseudo-periodic states and
turbulent regimes. |
ca |
dc.format |
application/pdf |
|
dc.language.iso |
eng |
ca |
dc.subject |
51 - Matemàtiques |
ca |
dc.title |
Spatiotemporal patterns in the Turing-Takens-Bogdanov scenario |
ca |
dc.type |
info:eu-repo/semantics/masterThesis |
ca |
dc.date.updated |
2021-06-30T11:13:04Z |
|