Threshold to global diffusion in a nonmonotonic map with quadratic nonlinearity.

DOI10.1016/S0167-2789(98)00214-0zbMath1076.37520OpenAlexW2032052912MaRDI QIDQ1410918

Allan J. Lichtenberg, Gilberto Corso

Publication date: 15 October 2003

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)00214-0

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (6)

DIFFUSIVE TRANSPORT THROUGH A NONTWIST BARRIER IN TOKAMAKS ⋮ Reconnection of unstable manifolds and change in transport properties. ⋮ Meanders and reconnection–collision sequences in the standard nontwist map ⋮ Manifold reconnection and diffusion in strong chaos ⋮ The threshold for global diffusion in the kicked Harper map ⋮ Reconnection scenarios and the threshold of reconnection in the dynamics of non-twist maps.

Cites Work

• Four-dimensional mapping model for two-frequency electron cyclotron resonance heating
• Nonmonotonic twist maps
• Hamiltonian bifurcations leading to chaos in a low-energy relativistic wave-particle system
• The birth of twin Poincaré-Birkhoff chains near 1:3 resonance
• Regular and stochastic motion
• Dimerized island chains in tokamaks

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