Geometry of Kapitsa's potentials

DOI10.1088/0951-7715/11/5/011zbMath0907.34032OpenAlexW2002488856MaRDI QIDQ4216789

Mark Levi

Publication date: 3 November 1998

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/11/5/011

zbMATH Keywords

averaging high-frequency vibrationspotential of Kapitsa

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Averaging method for ordinary differential equations (34C29) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (11)

Weak convergence and averaging for ODE ⋮ On the existence of periodic motions of the excited inverted pendulum by elementary methods ⋮ A Coriolis force in an inertial frame ⋮ The ponderomotive Lorentz force ⋮ Parametric stability of a charged pendulum with an oscillating suspension point ⋮ Bifurcations of phase portraits of pendulum with vibrating suspension point ⋮ An extension of the Levi-Weckesser method to the stabilization of the inverted pendulum under gravity ⋮ On the existence and stabilization of an upper unstable limit cycle of the damped forced pendulum ⋮ Geometry and physics of averaging with applications ⋮ GEOMETRY OF VIBRATIONAL STABILIZATION AND SOME APPLICATIONS ⋮ Geometrical aspects of rapid vibrations and rotations

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