Hi!
several things to comment which happened these days. 

Benoit Mandelbrot passed away at 85. In our research teams we find fractals everywhere. We found them in the state space while computing basins of attraction, or when we plot our chaotic attractors. More sophisticated scenarios are some of our bifurcation diagrams, where we could see fractalization (see the paper by Alex Taborda entitled Mandelbrot-like...). Even in our website we have a nice video about fractals (objects with fractional dimension).

Next month we are joining several congresses and workshops. Next one in Santa Marta (8-12 November), where the first SAMI (SAMI 2010) School of Applied Mathematics and Innovation will take place. Remember you can take your posters there. After Santa Marta, there is also a congress (Latin - American meeting on System Dynamics) in Medellin, the next week. This seems to be everything for November.

Two weeks ago we had this seminar on the question of bifurcations in non-smooth systems, driven by Gustavo. It was very nice for me, since I realized that even now I can use some topics that I learned (I thought so!) in my early semesters of my pregraduate studies. I never thought that in my research on dynamical systems I would use equivalence classes so meaningfully! Now I think I better undestand them. It is so useful precisely for classification! So I liked very much the discussions about topological equivalence, sigma-equivalence, geometrical equivalence and so on which now have full meaning for me. And are so useful to distinguish among different phase portraits. Also I realized that depending on what you need to distinguish you must use different definitions of equivalence. Really nice!

As a final comment, if you like to be in the state-of-the-art of ICTs (Information and Communicaction Technologies) go to internet and see the FuturICT webpage. An ambitius project for the next future!

OK, I hope you will enjoy our next seminars. Remember everyone is invited!

My best,

Gerard Olivar
ABC Dynamics - PCI Perception and Intelligent Control
Universidad Nacional de Colombia, sede Manizales   
juan bernardo
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aqui dejo un link para el que quiera ver esta bonita animacion sobre mandelbrot

http://www.youtube.com/watch?v=ES-yKOYaXq0

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