4 papers
Functional perturbation theory under axisymmetry: Simplified formulae and their uses for tokamaks
Wenyin Wei, Liang Liao, Alexander Knieps +3
In strictly axisymmetric configurations of tokamaks, field-line tracing reduces from a three-dimensional ODE system to a two-dimensional one, where Poincaré-Bendixson theorem appl…
Healing of the edge magnetic island in the island divertor configuration on J-TEXT
Zhangrong Hou, Song Zhou, Nengchao Wang +18
The phenomena of island healing and configuration transition induced by high-power electron cyclotron resonance heating (ECRH) have been investigated in the island divertor configu…
Deformation of invariant tori under perturbation
Wenyin Wei, Jiankun Hua, Alexander Knieps +1
This study extends the functional perturbation theory~(FPT) of dynamical systems, which was initially developed for investigating the shifts of magnetic field line trajectories wit…
On the shifts of stable and unstable manifolds of a hyperbolic cycle under perturbation
Wenyin Wei, Jiankun Hua, Alexander Knieps +1
Stable and unstable manifolds, originating from hyperbolic cycles, fundamentally characterize the behaviour of dynamical systems in chaotic regions. This letter demonstrates that t…