Moving discrete breathers in a β -FPU lattice revisited
Moving discrete breathers in a β -FPU lattice revisited
复制标题
重新审视 β-FPU 晶格中移动离散呼吸器
DOI：
10.1016/j.cnsns.2022.106435
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发表时间：
2022
影响因子：
3.9
通讯作者：
Vainchtein, Anna
中科院分区：
文献类型：
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作者：
Duran, Henry;Cuevas-Maraver, Jesús;Kevrekidis, Panayotis G.;Vainchtein, Anna
在这项工作中，我们回顾了β-fPU格子中运动离散呼吸子的存在性、稳定性和动力学性质。在存在方面，我们提出了一种数值方法，该方法基于一系列速度的延拓，允许我们系统地构造每个周期经过一个以上格点的呼吸子。在稳定性方面，我们通过Floquet分析探索了所得到的波形的稳定谱，并将其与能量-频率分岔图联系起来。在这种情况下，我们举例说明了能量是频率的多值函数，展示了不同运动呼吸子在相同频率下的共存。最后，我们探索运动的呼吸动力学，并观察相关的不稳定性如何改变它们的速度，通常在长时间的模拟中减缓它们的速度。
In this work we revisit the existence, stability and dynamical properties of moving discrete breathers in β-FPU lattices. On the existence side, we propose a numerical procedure, based on a continuation along a sequence of velocities, that allows us to systematically construct breathers traveling more than one lattice site per period. On the stability side, we explore the stability spectrum of the obtained waveforms via Floquet analysis and connect it to the energy-frequency bifurcation diagrams. We illustrate in this context examples of the energy being a multivalued function of the frequency, showcasing the coexistence of different moving breathers at the same frequency. Finally, we probe the moving breather dynamics and observe how the associated instabilities change their speed, typically slowing them down over long-time simulations.