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- Title
Dynamic Stability and Instability of Pinned Fundamental Vortices.
- Authors
Gustafson, S.; Ting, F.
- Abstract
We study the dynamic stability and instability of pinned fundamental ±1 vortex solutions to the Ginzburg–Landau equations with external potential in ℝ2. For sufficiently small external potentials, there exists a perturbed vortex solution centered near each non-degenerate critical point of the potential. With respect to both dissipative and Hamiltonian dynamics, we show that perturbed vortex solutions which are concentrated near local maxima (resp. minima) are orbitally stable (resp. unstable). In the dissipative case, the stability is in the stronger “asymptotic” sense.
- Subjects
DYNAMICS; DECISION making; VORTEX motion; HAMILTONIAN systems; DIFFERENTIABLE dynamical systems; SUPERCONDUCTORS; SUPERCONDUCTING generators
- Publication
Journal of Nonlinear Science, 2009, Vol 19, Issue 4, p341
- ISSN
0938-8974
- Publication type
Article
- DOI
10.1007/s00332-009-9039-0