Dimecres 29 de març se celebrarà una nova xerrada del Seminari Informal de Matemàtiques de Barcelona (SIMBa).

Conferenciant: Ainoa Murillo López.
Universitat: Universitat de Barcelona.

Data: Dimecres, 29 de març, 2023.
Hora: 13:00, pausa pel cafè; 13:20, xerrada.
Lloc: UB (FMI aula B1) i Zoom.
Idioma: Anglès.

Títol: Splitting of 2D invariant manifolds of a periodically forced 3D volume
preserving flow.

Resum: We shall consider a 3D volume-preserving flow with a 2-dimensional heteroclinic connection to saddle-foci, obtained by truncating the normal form of a generic unfolding of a Hopf-Zero bifurcation. First, we will describe the phase space of the system and then, we will consider the effect of a non-autonomous periodic perturbation on it. This perturbation introduces an additional frequency, which interacts with the intrinsic frequency related to the multiplier of the foci. In particular, our focus will be on the splitting of the 2D stable and unstable invariant manifolds and its quasi-periodic asymptotic behaviour.

 

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