A note on adiabatic invariance in Hamiltonian systems depending singularly on the slow time

DOI10.1016/S0167-2789(98)00179-1zbMath0946.70012MaRDI QIDQ1808324

Vadim Zharnitsky

Publication date: 6 December 1999

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

zbMATH Keywords

singularityadiabatic invariantparameterreflection coefficientstationary phase methodslow timeintegral of Fresnel typeone-degree-of-freedom oscillatory Hamiltonian systemscattering of electromagnetic wavesingular refraction index

Mathematics Subject Classification ID

Hamilton's equations (70H05) Diffraction, scattering (78A45) Dynamical systems in classical and celestial mechanics (37N05) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)

Related Items (1)

A NONINTEGRABILITY CRITERION FOR ADIABATIC SYSTEMS

Cites Work

• Adiabatic invariants of the linear Hamiltonian systems with periodic coefficients
• Breakdown of stability of motion in superquadratic potentials
• Lorentz's pendulum problem
• Capture into resonance: An extension of the use of adiabatic invariants
• Geometric angle for rotated rotators, and the Hannay angle of the world
• Adiabatic invariance and the regularity of perturbations
• Adiabatic invariants and trapping of a point charge in a strong nonuniform magnetic field
• Adiabatic Invariance of a Simple Oscillator
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A note on adiabatic invariance in Hamiltonian systems depending singularly on the slow time