CORDIS Project
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This project focuses on advancing the understanding of differentiable dynamics, particularly in non-hyperbolic systems. By developing new techniques for global perturbations, it aims to provide insights into the qualitative behavior of smooth systems and contribute to the classification of dynamical systems.
An important part of differentiable dynamics has been developed from the uniformly hyperbolic systems.
These systems have been introduced by Smale in the 60's in order to address chaotic behavior and are now deeply understood from the qualitative, symbolic and statistic viewpoints.
They correspond to the structurally stable dynamics.
It appeared that large classes of non-hyperbolic systems also exist.
Since the 80's, different notions of relaxed hyperbolicity have been introduced: non-uniformly…
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
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