Complete classification on traveling waves in monotone dynamical systems (2409.12463v1)

Published 19 Sep 2024 in math.AP and math.DS

Abstract: 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.

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