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physics.plasm-ph2025
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…
physics.plasm-ph2024
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…