Some constructions of Weinstein manifolds with chaotic Reeb dynamics

TL;DR

This paper presents methods to construct Weinstein manifolds exhibiting chaotic Reeb dynamics and discusses how to detect this chaos directly from the manifold's skeleton structure.

Contribution

It introduces specific constructions of Weinstein manifolds with chaotic Reeb flows and provides techniques to identify chaos from the skeleton.

Findings

Chaotic Reeb dynamics can be constructed in Weinstein manifolds.

Chaos can be detected directly from the skeleton structure.

The methods facilitate understanding of complex dynamical behaviors in symplectic topology.

Abstract

The goal of this note is to describe some constructions of Weinstein manifolds with chaotic Reeb dynamics, and to explain how this property can sometimes be detected directly from the skeleton.