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We are still far from a comprehensive theory of bifurcation in dynamical systems with
multiple time scales. However, systematic application of geometric methods and study
of examples have produced d...
Bifurcations of Relaxation Oscillations near Folded Saddles
Folded Saddles Relaxation Oscillations
2015/8/25
Relaxation oscillations are periodic orbits of multiple time scale dynamical systems
that contain both slow and fast segments. The slow-fast decomposition of these orbits is
de ned in the singular l...
Relaxation oscillations and negative strain rate sensitivity in the Portevin - Le Chatelier effect
Relaxation oscillations strain rate Portevin - Le Chatelier effect
2010/11/2
A characteristic feature of the Portevin - Le Chatelier effect or the jerky flow is the stick-slip nature of stress-strain curves which is believed to result from the negative strain rate dependence ...