A Conspiracy of Oscillators

Poul G. Hjorth

A Conspiracy of Oscillators

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

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.

Original language	English
Title of host publication	Proceedings of the Sixth EUROMECH Nonlinear Dynamics Conference : June 30 — July 4, 2008, Saint Petersburg, RUSSIA
Publication date	2008
Publication status	Published - 2008
Event	6th EUROMECH Nonlinear Dynamics Conference - St. Petersburg, Russian Federation Duration: 30 Jun 2008 → 4 Jul 2008 Conference number: 6 http://conf.physcon.ru/enoc08/

Conference

Conference	6th EUROMECH Nonlinear Dynamics Conference
Number	6
Country/Territory	Russian Federation
City	St. Petersburg
Period	30/06/2008 → 04/07/2008
Internet address	http://conf.physcon.ru/enoc08/

Access to Document

http://lib.physcon.ru/?item=1726

OpenUrl availability

Full text

Cite this

@inproceedings{2b28912f61c840a088792595dff26fd6,

title = "A Conspiracy of Oscillators",

abstract = "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.",

author = "Hjorth, {Poul G.}",

year = "2008",

language = "English",

booktitle = "Proceedings of the Sixth EUROMECH Nonlinear Dynamics Conference",

note = "6th EUROMECH Nonlinear Dynamics Conference, ENOC 2008 ; Conference date: 30-06-2008 Through 04-07-2008",

url = "http://conf.physcon.ru/enoc08/",

}

TY - GEN

T1 - A Conspiracy of Oscillators

AU - Hjorth, Poul G.

N1 - Conference code: 6

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

M3 - Article in proceedings

BT - Proceedings of the Sixth EUROMECH Nonlinear Dynamics Conference

T2 - 6th EUROMECH Nonlinear Dynamics Conference

Y2 - 30 June 2008 through 4 July 2008

ER -

A Conspiracy of Oscillators

Abstract

Conference

Access to Document

OpenUrl availability

Fingerprint

Cite this