论文标题
V形动作功能延迟
V-shaped action functional with delay
论文作者
论文摘要
在本说明中，我们引入了V形动作函数，并延迟了symphectization，这是Rabinowitz动作功能与V形动作功能之间的中间动作功能。它生活在与V形动作功能相同的空间上，但其梯度流程方程是一个延迟方程，如Rabinowitz Action功能。我们表明，V形动作功能与V形动作功能之间的延迟之间存在平稳的插值，在此过程中，临界点及其动作是固定的。另一方面，V形动作功能延迟的梯度流量与Rabinowitz动作功能的梯度流量之间有两次培养。
In this note we introduce the V-shaped action function with delay in a symplectization which is an intermediate action functional between Rabinowitz action functional and the V-shaped action functional. It lives on the same space as the V-shaped action functional but its gradient flow equation is a delay equation as in the case of Rabinowitz action functional. We show that there is a smooth interpolation between the V-shaped action functional and the V-shaped action functional with delay during which the critical points and its actions are fixed. On the other hand there is a bijection between gradient flow lines of the V-shaped action functional with delay and the ones of Rabinowitz action functional.
