Abstract
A mathematical definition of an adiabatic invariant is proposed. We find out an adiabatic invariant for a linear oscillator in an external variable field using this definition. Estimates of changes of this invariant are proved. This formula contains a denominator which decreases when the differences of frequencies tend to zero (resonance).
| Original language | English |
|---|---|
| Pages (from-to) | 70-75 |
| Number of pages | 6 |
| Journal | Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) |
| Volume | 33 |
| Issue number | 6 |
| Publication status | Published - 31 Jan 1998 |
| Externally published | Yes |