Abstract
Non-integrability criteria, based on differential Galois theory and requiring the use of higher order variational equations (VEk), are applied to prove the non-integrability of the Swinging Atwood's Machine for values of the parameter which can not be decided using first order variational equations (VE1).
| Original language | English |
|---|---|
| Pages (from-to) | 1-24 |
| Journal | Discrete and Continuous Dynamical Systems |
| Volume | 29 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2011 |
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