Deformation of invariant tori under perturbation

Autor:	Wei, Wenyin, Hua, Jiankun, Knieps, Alexander, Liang, Yunfeng
Rok vydání:	2024
Předmět:	Nonlinear Sciences - Chaotic Dynamics Mathematics - Dynamical Systems Physics - Plasma Physics Primary: 37D10 Secondary: 34D10 37N05 37N10 37M21 37J40 39A33 39B52 76W05 78M30
Druh dokumentu:	Working Paper
Popis:	This study extends the functional perturbation theory~(FPT) of dynamical systems, initially developed for investigating the shifts of invariant (un)stable manifolds within chaotic regions when subjected to global perturbations. In contrast, invariant tori reside in the ordered regions of the phase space, where periodic orbits are parabolic in conservative systems. For example, in magnetic confinement fusion (MCF) devices, invariant tori appear as closed flux surfaces, whose nested structure dominates radial transport and, consequently, the overall confinement performance. This Letter provides formulae characterizing the deformation of invariant tori under perturbation. Comment: 5 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.06440 Zobrazit plný text záznamu View this record from Arxiv