标题： 构造性拟周期依赖的KAM算法求拉格朗日环面 显示英文标题

标题： Constructive QP-Time-dependent KAM Algorithm for Lagrangian Tori

摘要： 本文提出了一种算法，用于计算拟周期（QP）哈密顿系统中的纤维拉格朗日环面，其收敛性已在[CHP25]中证明。我们通过两个模型展示了该算法。 第一个模型是一个托卡马克模型[CVC+05, VL21]，该模型提出了一种控制方法，通过对磁场扰动进行微小修改来创建磁力线扩散的屏障。 第二个模型[dCN00]，被称为涡度缺陷模型，描述了恒定涡度流中局域化涡度扰动的非线性演化。此模型最初是在等离子体物理和流体力学背景下推导出来的。 显示英文摘要

摘要： In this paper, we present an algorithm to computea fiberwise Lagrangian torus in quasi-periodic (QP) Hamiltonian systems, whose convergence is proved in the [CHP25]. We exhibit the algorithm with two models. The first is a Tokamak model [CVC+05, VL21], which proposes a control method to create barriers to the diffusion of magnetic field lines through a small modification in the magnetic perturbation. The second model [dCN00], known as the vorticity defect model, describes the nonlinear evolution of localized vorticity perturbations in a constant vorticity flow. This model was originally derived in the context of plasma physics and fluid dynamics.