Dragging bistable fronts
Dragging bistable fronts
复制标题
拖动双稳态前沿
DOI：
--
复制
发表时间：
2004
期刊：
影响因子：
--
通讯作者：
D. Frantzeskakis
中科院分区：
文献类型：
--
作者：
P. Kevrekidis;I. Kevrekidis;B. Malomed;H. Nistazakis;D. Frantzeskakis
我们考虑通过外部驱动器（可以是参数的或直接的）对具有双稳态非线性的反应扩散系统中的前沿进行拖动。开发了一种扰动理论来修正拖曳锋的速度。发现除了初始瞬态之外，预测与直接模拟非常一致。虽然扰动理论对于较小的驱动强度 e 值应该是有效的，但实际上发现即使对于 e = O(1)，预测也相当准确，并且可以量化在 e 的中间值时发生的拖动前沿运动的自由和锁定状态之间的转变。
We consider the dragging of fronts in reaction–diffusion systems with bistable nonlinearity by an external drive, which may be parametric or direct. A perturbation theory is developed for the speed correction of the dragged front. The predictions are found to be in good agreement with direct simulations, apart from an initial transient. While the perturbation theory should be valid for small values of the drive's strength e, the predictions are actually found to be quite accurate even for e = O(1), and can quantify transitions between free and locked regimes of motion of the dragged fronts that occur at intermediate values of e.