CORDIS Project
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This project aims to develop advanced mathematical techniques to analyze invariant manifolds related to solutions of differential equations. It focuses on periodic orbits, critical points, and limit cycles in various physical contexts, enhancing understanding in mathematical physics and fluid mechanics.
The goal of this project is to develop new techniques combining tools from dynamical systems, analysis and differential geometry to study the existence and properties of invariant manifolds arising from solutions to differential equations.
These structures are relevant in the study of the qualitative properties of ODE and PDE and appear very naturally in important questions of mathematical physics.
This proposal can be divided in three blocks: the study of periodic orbits and related dynamical s…
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