Geometry and physics of averaging with applications

DOI10.1016/S0167-2789(99)00022-6zbMath0936.37040MaRDI QIDQ1809396

Mark Levi

Publication date: 22 May 2000

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

zbMATH Keywords

Hamiltonian systemsaveraging methodnonholonomic systemaveraging procedurerapidly forced systemsrapidly time-dependence

Mathematics Subject Classification ID

Related Items (12)

Weak convergence and averaging for ODE ⋮ Weakly coupled oscillators and topological degree ⋮ Schrödinger's equation and ``bike tracks -- a connection ⋮ Higher-order averaging, formal series and numerical integration. I: B-series ⋮ A Coriolis force in an inertial frame ⋮ STABILIZING WITH A HAMMER ⋮ The ponderomotive Lorentz force ⋮ The pendulum under vibrations revisited ⋮ Moving constraints as stabilizing controls in classical mechanics ⋮ A multiscale method for highly oscillatory ordinary differential equations with resonance ⋮ GEOMETRY OF VIBRATIONAL STABILIZATION AND SOME APPLICATIONS ⋮ Geometrical aspects of rapid vibrations and rotations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A reversible bifurcation analysis of the inverted pendulum
• On the accuracy of conservation of the adiabatic invariant
• Global dynamics of a rapidly forced cart and pendulum
• Geometry of Kapitsa's potentials
• Origin of the geometric forces accompanying Berry’s geometric potentials
• Boundedness of Solutions for Quasiperiodic Potentials

This page was built for publication: Geometry and physics of averaging with applications