Method of the effective potential for the factorized rapidly changing force.

Sergei Borisenok

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Method of the effective potential for the factorized rapidly changing force.

Author(s)

Sergei Borisenok Abdus Salam School of Mathematical Sciences, Government College University, 35-C/2, Gulberg 3, Lahore, Pakistan; Department of Physics, Herzen State Pedagogical University, 48 Moika River, 191186 St. Petersburg, Russia

Abstract

We propose the general form of Kapitza’s effective potential method for a classical particle in the external filed of a rapidly changing open-loop control force with factorized dependency on the spatial and time coordinates. The result is illustrated by the application to stabilize the harmonic oscillator in non-trivial stable point.

Publication Details

Page(s) 210-214

DOI DOI not available

Published Journal: Journal of Prime Research in Mathematics, Volume: 3, Issue: 0, Year: 2007

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