Complete classification on traveling waves in monotone dynamical systems

Autor:	Xiao, Dongyuan, Zhou, Maolin
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	It is well-known that traveling waves with the minimal speed in monotone dynamical systems are typically categorized into two types: pushed fronts and pulled fronts. In this paper, using a new approach, we identify a general rule for monotone dynamical systems: the pushed front always decays at a fast rate. Additionally, we provide a complete classification of traveling waves based on their decay rates.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.12463 Zobrazit plný text záznamu View this record from Arxiv