MONTICELLI , Marc

The dynamics of a damped pendulum driven by a constant torque is studied experimentally and theoretically. We use this simple device to demonstrate some generic dynamical behavior including the loss of equilibrium or saddle node bifurcation with or without hysteresis and the homoclinic bifurcation. A qualitative analysis is developed to...

Images des Mathématiques (CNRS)

Publication de culture scientifique pour comprendre le fonctionnement de la machine de Turing et pour en "construire" une.

Images des Mathématiques (CNRS)

Publication de culture scientifique pour comprendre le fonctionnement de la machine de Turing et pour en "construire" une.

International audience

Robert Hooke is perhaps one of the first scientists to have met chaotic motions. Indeed, to invert a cone and let a ball move in it was a mechanical model used by him to mimic the motion of a planet around a centre of force like the Sun. However, as the cone is inclined with respect to the gravity field, the perfect rosace followed by the...

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Hif, being the master protein involved in adaptation to low p[O], plays a major role in many physiological and pathological phenomena: development, inflammation, ischemia and cancer. PHD and FIH are the two oxygen sensors that regulate the Hif pathway. Here we model the regulatory dynamics in an oxygen gradient by a system of differential...