Isodrastic magnetic fields for suppressing transitions in guiding-centre motion
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Publication:6050833
DOI10.1088/1361-6544/acf26aarXiv2211.13367OpenAlexW4387105583WikidataQ126241322 ScholiaQ126241322MaRDI QIDQ6050833
Robert S. MacKay, J. W. Burby, Shibabrat Naik
Publication date: 12 October 2023
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.13367
dynamical systemsMelnikov functionHamiltonian dynamicsinvariant submanifoldsmagnetic confinement of plasmaisodrastic magnetic fields
Cites Work
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- Multiple time scale dynamics
- Connections of Berry and Hannay type for moving Lagrangian submanifolds
- Three coupled oscillators: Mode-locking, global bifurcations and toroidal chaos
- On Hamiltonian systems with a homoclinic orbit to a saddle-center
- On the change in the adiabatic invariant on crossing a separatrix in systems with two degrees of freedom
- Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom
- The phase space geometry underlying roaming reaction dynamics
- KAM theory in configuration space
- Hamiltonian in guiding center theory: a symplectic structure approach
- Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
- Stable and Random Motions in Dynamical Systems
- Non-existence of invariant circles
- Time-dependent drift Hamiltonian
- Flux and differences in action for continuous time Hamiltonian systems
- Horseshoes for autonomous Hamiltonian systems using the Melnikov integral
- Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems
- Stochastic transport in plasmas
- An Introduction to Partial Differential Equations
- Some mathematics for quasi-symmetry
- Normal stability of slow manifolds in nearly periodic Hamiltonian systems
- The Theory of Toroidally Confined Plasmas
- The KAM Story
- Low Energy Transit Orbits in the Restricted Three-Body Problems
- Generic Bifurcation of Periodic Points
- Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic
- Approximate symmetries of guiding-centre motion
- Invariant manifolds