CORDIS Project
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This project investigates the least action principle and its application in Hamiltonian dynamics and symplectic geometry. It aims to bridge gaps in existing theories to enhance understanding of periodic orbits and critical phenomena in dynamical systems.
The least action principle is one of the most classical tools in the study of convex Hamiltonian systems.
It consists in finding specific orbits by minimizing the Lagrangian action functional.
Another powerful classical tool in Hamiltonian dynamics is the theory of canonical transformations, which provides a large class of admissible changes of coordinates, allowing to put many systems into simplified normal forms.These two tools are difficult to use simultaneously because the Lagrangian action…
UNIVERSITE PARIS DAUPHINE
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