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### Event Number 2233

**Chaos & Complex Systems Seminar****Topological chaos****Time:**12:05 pm**Place:**4274 Chamberlin**Speaker:**Jean-Luc Thiffeault, UW Department of Mathematics**Abstract:**Topological chaos is a type of chaotic behavior that is `forced' by the motion of obstacles in some domain. I will review two topological approaches, with applications in particular to stirring and mixing in fluid dynamics. The first involves constructing systems such that the fluid motion is topologically complex, usually by imposing a specific motion of rods. I will discuss optimization strategies that can be implemented. The second is diagnostic, where flow characteristics are deduced from observations of periodic or random orbits and their topological properties.

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