University of Birmingham > Talks@bham > PIPS - Postgraduate Informal Physics Seminars > The Topology of Stable Solutions of Dynamical Systems

The Topology of Stable Solutions of Dynamical Systems

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If you have a question about this talk, please contact Rose Davies.

I will talk about the various types of stable solutions of dynamical system and their topology. After introducing a direct understanding on the percentage of different types of stable solutions, I will give a review on some basic analytical approach to dynamical systems. Based on stable and unstable equilibrium points are transitions between different types of stable solutions take place, and I will show it numerically and schematically. From the topology of transition, we will finally arrive at other topologically features, such as knot, fractal and persistent homology of the attractors.

This talk is part of the PIPS - Postgraduate Informal Physics Seminars series.

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