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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.00335 |
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| _version_ | 1866916668477800448 |
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| author | Calleja, Renato Haro, Alex Porras, Pedro |
| author_facet | Calleja, Renato Haro, Alex Porras, Pedro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00335 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Constructive QP-Time-dependent KAM Algorithm for Lagrangian Tori Calleja, Renato Haro, Alex Porras, Pedro Dynamical Systems 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. |
| title | Constructive QP-Time-dependent KAM Algorithm for Lagrangian Tori |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2504.00335 |