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Nonuniformity of Adiabatic Invariance for Nonlinear Oscillators

✍ Scribed by Hu, Jishan

Book ID
118194211
Publisher
Society for Industrial and Applied Mathematics
Year
1998
Tongue
English
Weight
278 KB
Volume
59
Category
Article
ISSN
0036-1399

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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 Kry