# On volume preserving almost Anosov flows

## TL;DR

This paper establishes limit laws for volume-preserving almost Anosov flows on 3-manifolds with neutral cubic saddle periodic points, including estimates for Dulac maps in planar vector fields.

## Contribution

It introduces new limit laws for a specific class of flows and derives estimates for Dulac maps related to cubic neutral saddles.

## Key findings

- Limit laws for volume-preserving almost Anosov flows on 3-manifolds.
- Estimates for Dulac maps for cubic neutral saddles.
- Analysis of the dynamics near neutral periodic points.

## Abstract

The purpose of this paper is to establish limit laws for volume preserving almost Anosov flows on $3$-three manifolds having a neutral periodic of cubic saddle type. In the process, we derive estimates for the Dulac maps for cubic neutral saddles in planar vector fields.