# Uncertainty transformation via Hopf bifurcation in fast–slow systems

@article{Kuehn2017UncertaintyTV, title={Uncertainty transformation via Hopf bifurcation in fast–slow systems}, author={C. Kuehn}, journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences}, year={2017}, volume={473} }

Propagation of uncertainty in dynamical systems is a significant challenge. Here we focus on random multiscale ordinary differential equation models. In particular, we study Hopf bifurcation in the fast subsystem for random initial conditions. We show that a random initial condition distribution can be transformed during the passage near a delayed/dynamic Hopf bifurcation: (i) to certain classes of symmetric copies, (ii) to an almost deterministic output, (iii) to a mixture distribution with… CONTINUE READING

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