arXiv Open Access 2023

Stable manifolds for periodically perturbed maps

Matthew Williams Oleg Makarenkov

Lihat Sumber

Abstrak

We prove that if a certain entry in the map of the Hadamard-Perron theorem is $T$-periodic in one of the variables, then the stable manifold guaranteed by the Hadamard-Perron theorem is a graph of a $T$-periodic function. As an application, we extend the classical Levinson's result about the occurrence of an attracting closed invariant curve near a stable cycle of a system of autonomous equations under periodic perturbations to hybrid differential equations.

Topik & Kata Kunci

math.DS

Penulis (2)

Matthew Williams

Oleg Makarenkov

Format Sitasi

APA MLA BibTeX

Williams, M., Makarenkov, O. (2023). Stable manifolds for periodically perturbed maps. https://arxiv.org/abs/2311.03728

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓