Resonant phenomena in slowly irregular rectangular waveguides

DOI10.1007/S10958-005-0230-ZzbMath1117.78321OpenAlexW1995462861MaRDI QIDQ997765

A. P. Itin, Aleksey A. Vasiliev, Anatoly I. Neishtadt

Publication date: 7 August 2007

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0230-z

zbMATH Keywords

diffusionperturbation theoryscatteringHamiltonian systemresonanceadiabatic invariantswaveguidedrift

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Antennas, waveguides in optics and electromagnetic theory (78A50) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (1)

Fermi acceleration in time-dependent rectangular billiards due to multiple passages through resonances

Cites Work

• Resonant phenomena in slowly perturbed elliptic billiards
• Captures into resonance and scattering on resonance in dynamics of a charged relativistic particle in magnetic field and electrostatic wave
• Resonant phenomena in slowly perturbed rectangular billiards
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