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Exact asymptotic behavior of pulsating traveling waves for a periodic monostable lattice dynamical system
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2021-02-12 , DOI: 10.1090/proc/15369 Shi-Liang Wu , Guang-Sheng Chen , Cheng-Hsiung Hsu
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2021-02-12 , DOI: 10.1090/proc/15369 Shi-Liang Wu , Guang-Sheng Chen , Cheng-Hsiung Hsu
Abstract:This paper is concerned with the pulsating traveling waves of a periodic lattice dynamical system with monostable nonlinearity. We first establish the exponential upper and lower bounds of the pulsating wave profiles at minus infinity. Then we prove the uniqueness result and derive the asymptotic behavior of all non-critical monostable pulsating traveling waves. This might be the first time to obtain the exact asymptotic behavior of the pulsating traveling waves for periodic discrete systems towards the unstable steady state.
中文翻译：
周期单稳态晶格动力学系统的脉动行波的精确渐近行为
摘要：本文涉及具有单稳态非线性的周期性晶格动力学系统的脉动行波。我们首先确定负无穷大时脉动波分布的指数上限和下限。然后，我们证明了唯一性结果，并推导了所有非临界单稳态脉动行波的渐近行为。这可能是第一次获得周期性离散系统朝向不稳定稳态的脉动行波的精确渐近行为。
更新日期：2021-04-12
中文翻译：
周期单稳态晶格动力学系统的脉动行波的精确渐近行为
摘要：本文涉及具有单稳态非线性的周期性晶格动力学系统的脉动行波。我们首先确定负无穷大时脉动波分布的指数上限和下限。然后，我们证明了唯一性结果，并推导了所有非临界单稳态脉动行波的渐近行为。这可能是第一次获得周期性离散系统朝向不稳定稳态的脉动行波的精确渐近行为。
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