Dear All,

 

Reminder about tomorrow’s seminar.

 

Sara

 

 

Dear All,

 

Please find below details of our next seminar.  The speaker is David Marti-Pete.  The seminar will start at 3.30 p.m. in Room 306 Alan Turing Building.  Coffee and tea will be available in the Common Area 2^nd Floor from 3.00 p.m.

 

Title: :  Fingers in the parameter space of the complex standard family

Abstract:  We study the parameter space of the complex standard family $$ F_{\alpha,\beta}(z)=z+\alpha+\beta \sin z, $$ where the parameter $0<\beta\ll 1$ is considered to be fixed and the bifurcation is studied with respect to the parameter $\alpha\in\mathbb{C}$. In the real axis of that parameter plane one can observe the so-called Arnold tongues, and attached to them there are some finger-like structures which were observed for the first time by Fagella in her PhD thesis. Similar structures can also be observed in the parameter spaces of families of Blaschke products or Henon maps in higher dimension. We study the qualitative and quantitative aspects of these fingers via parabolic bifurcation.

This is a work in progress joint with Mitsuhiro Shishikura (Kyoto University).

 

 

Sara Griffin

School Secretary

School of Mathematics and Statistics

Faculty of Science, Technology, Engineering and Mathematics

 

Please note that I work 8.30am to 4.30pm  Monday, Tuesday, Thursday and Friday

(I do not work on Wednesdays)

 

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