Analysis of a Class of Strange Attractors

TL;DR

This paper presents a comprehensive study of a new class of strange attractors characterized by strong local instability and non-uniform hyperbolicity, with detailed analysis of their dynamical, geometric, and statistical properties.

Contribution

It provides rigorous results on the properties of a novel class of attractors that exhibit complex dynamics without uniform hyperbolicity.

Findings

Characterized a new class of attractors with strong local instability

Established rigorous properties of their dynamical and geometric behavior

Analyzed statistical properties of these attractors

Abstract

This work contains the results from a comprehensive study of a new class of attractors. The attractors in this class are characterized by strong local instability, but they are not uniformly hyperbolic. Rigorous results on their dynamical, geometric and statistical properties are presented.