Non-integrability of the degenerate cases of the winging atwood's machine using higher order variational equations

Regina Martínez, Carles Simó

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)

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 languageEnglish
Pages (from-to)1-24
JournalDiscrete and Continuous Dynamical Systems
Volume29
Issue number1
DOIs
Publication statusPublished - 1 Jan 2011

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