Arnau Planas

activity

20162023

most citedAction-angle coordinates and KAM theory for singular symplectic manifolds

4 citations · 4 across the 2 of their papers we have counts for

collaborators

3 papers

math.SG2023★ 4 cited

Action-angle coordinates and KAM theory for singular symplectic manifolds

Eva Miranda, Arnau Planas

This monograph explores classification and perturbation problems for integrable systems on a class of Poisson manifolds called $b^{m}$ -Poisson manifolds. Even if the class of $b^{m}$ -P…

math.SG2017

An Invitation to Singular Symplectic Geometry

Roisin Braddell, Amadeu Delshams, Eva Miranda +2

In this paper we analyze in detail a collection of motivating examples to consider $b^{m}$ -symplectic forms and folded-type symplectic structures. In particular, we provide models in…

math.SG2016

Equivariant classification of $b^{m}$ -symplectic surfaces and Nambu structures

Eva Miranda, Arnau Planas

In this paper we extend the classification scheme in [S] for $b^{m}$ -symplectic surfaces and, more generally, $b^{m}$ -Nambu structures to the equivariant setting. When the compact grou…

Action-angle coordinates and KAM theory for singular symplectic manifolds

An Invitation to Singular Symplectic Geometry

Equivariant classification of bm-symplectic surfaces and Nambu structures

Equivariant classification of $b^{m}$ -symplectic surfaces and Nambu structures