Capture into resonance: An extension of the use of adiabatic invariants View Full Text


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Article Info

DATE

1982-05

AUTHORS

J. Henrard

ABSTRACT

The theory of the adiabatic invariant predicts the long term evolution of mechanical systems with slowly varying parameters. Unfortunately, it is not valid when the system goes across a critical trajectory. This case is important because it can lead to capture into resonance. Analysing the motion in the vincinity of the critical trajectory, we are able to give general formulae for the probability of capture and to show that in general, the adiabatic invariant is conserved (allowance being made for the geometrical discontinuity in its definition at the critical orbit). More... »

PAGES

3-22

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01228946

DOI

http://dx.doi.org/10.1007/bf01228946

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1002139158


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