Four-dimensional mapping model for two-frequency electron cyclotron resonance heating
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Publication:580137
DOI10.1016/0167-2789(86)90033-3zbMath0625.76124OpenAlexW1972724914MaRDI QIDQ580137
M. A. Lieberman, James E. Howard, Ronald Cohen, Allan J. Lichtenberg
Publication date: 1986
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(86)90033-3
Arnold diffusionfour-dimensional symplectic mappingspatial separations of the resonance zonestwo-frequency electron cyclotron resonance heating
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On the dynamics of two-dimensional dissipative discontinuous maps ⋮ Nonmonotonic twist maps ⋮ Area preserving nontwist maps: Periodic orbits and transition to chaos ⋮ Periodic orbits for reversible, symplectic mappings ⋮ Linear stability of symplectic maps ⋮ Elliptic Bubbles in Moser's 4D Quadratic Map: The Quadfurcation ⋮ Degenerate resonances and synchronization of quasiperiodic oscillations ⋮ A rescaling of the phase space for Hamiltonian map: applications on the Kepler map and mappings with diverging angles in the limit of vanishing action ⋮ Threshold to global diffusion in a nonmonotonic map with quadratic nonlinearity. ⋮ Degenerate resonances in Hamiltonian systems with 3/2 degrees of freedom ⋮ Moser's quadratic, symplectic map ⋮ THE EFFECT OF WEAK DISSIPATION IN TWO-DIMENSIONAL MAPPING ⋮ A simple reconnecting map ⋮ Non-integrability and continuation of fixed points on \(2n\)-dimensional perturbed twist maps ⋮ Phase transition in dynamical systems: defining classes of universality for two-dimensional Hamiltonian mappings via critical exponents ⋮ Time-dependent circular billiard ⋮ Degenerate resonances and synchronization in nearly Hamiltonian systems under quasi-periodic perturbations
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