Critical Transitions, Oscillations and Continuation for SDEs

  • Christian Kühn (Max-Planck-Institut für Physik komplexer Systeme, Dresden)
A3 02 (Seminar room)


In this talk, I am going to discuss three recent connected ideas in the theory of stochastic dynamical systems. We start by defining critical transitions using stochastic fast-slow systems and derive early-warning signs in the near-hyperbolic regime. Then we proceed to study noisy canard-induced mixed-mode oscillations in a regime where hyperbolicity is lost. As a last topic, we propose a new numerical method that uses deterministic continuation algorithms to capture dynamics of stochastic systems.

11.05.10 19.05.20

Dynamical Systems Seminar

MPI for Mathematics in the Sciences Live Stream

Katharina Matschke

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