October 12, 2025Open Access

A Note on Persistence Theory with Applications

Key Points

Persistence theory analyzes the stability of dynamical systems, focusing on key properties.
The roadmap outlines solutions to persistence problems using concepts like spectral radius and Lyapunov exponents.
Applications span across disciplines, indicating the wide relevance of persistence theory in understanding system behavior.
The author's insights contribute to ongoing discussions in the literature about persistence in dynamical systems.

Abstract

The persistence theory has been employed by several authors in order to study persistence properties of dynamical systems generated by ordinary differential equations or maps across diverse disciplines. In this note, the author discusses a roadmap to show the persitence of dynamical systems by discussing some problems from literature, which mainly involves either dealing with spectral radius or the Lyapunov exponents.

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Cite This Study

Neeraj Pant (Sun,) studied this question.

synapsesocial.com/papers/68ebffcfdef9fcb308ff2648 https://doi.org/https://doi.org/10.48550/arxiv.2509.06135

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