# Lectures on Structural Stability in Dynamics

**Authors:** Pierre Berger

arXiv: 1703.00092 · 2017-03-02

## TL;DR

This paper discusses the characterization of structurally stable dynamical systems, exploring properties that are independent of regularity class and connecting these stability problems to singularity theory.

## Contribution

It provides insights into structural stability in dynamics, highlighting regularity-independent aspects and linking stability problems with singularity theory.

## Key findings

- Identification of stability properties independent of regularity class
- Connections established between dynamical stability and singularity theory
- Discussion of open problems in structural stability

## Abstract

These lectures present results and problems on the characterization of structurally stable dynamics. We will shed light those which do not seem to depend on the regularity class (holomorphic or differentiable). Furthermore, we will present some links between the problems of structural stability in dynamical systems and in singularity theory.

## Full text

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## Figures

9 figures with captions in the complete paper: https://tomesphere.com/paper/1703.00092/full.md

## References

45 references — full list in the complete paper: https://tomesphere.com/paper/1703.00092/full.md

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Source: https://tomesphere.com/paper/1703.00092