Adiabatic invariants of quasi-pure-cubic oscillators

✍ Scribed by L. Cveticanin

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 437 KB
• Volume: 183
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1995.0292

✦ Synopsis

The adiabatic invariants for quasi-pure-cubic oscillators with slowly varying parameters are obtained. The method developed for dynamic systems with small non-linearities [1] is extended to systems with large non-linearity. The method is based on Noether's theorem for invariance and the elliptic Krylov-Bogoliubov method. A set of adiabatic invariants is applied to find the asymptotic solution for the motion. Two examples are considered: the pure cubic oscillator and the linear damped quasi-pure-cubic oscillator with variable mass.