We discuss nonlinear mechanical systems containing several oscillators whose frequecies are all much higher than frequencies associated with the remaining degrees of freedom. In this situation a near constant of the motion, an adiabatic invariant, exists which is the sum of all the oscillator actions. The phenomenon is illustrated, and calculations of the small change of the adiabatic invariant is outlined.
|Title of host publication||Proceedings of the Sixth EUROMECH Nonlinear Dynamics Conference : June 30 — July 4, 2008, Saint Petersburg, RUSSIA|
|Publication status||Published - 2008|
|Event||6th EUROMECH Nonlinear Dynamics Conference - St. Petersburg, Russian Federation|
Duration: 30 Jun 2008 → 4 Jul 2008
Conference number: 6
|Conference||6th EUROMECH Nonlinear Dynamics Conference|
|Period||30/06/2008 → 04/07/2008|