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Two-dimensional dynamical systems which admit Lie and Noether symmetries

✍ Scribed by Tsamparlis, Michael; Paliathanasis, Andronikos


Book ID
121500282
Publisher
IOP Publishing
Year
2011
Tongue
English
Weight
250 KB
Volume
44
Category
Article
ISSN
1751-8113

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The explicit integrability of second-order ordinary differential equations invariant under time-translation and rescaling is investigated. Quadratic systems generated from the linearisable version of this class of equations are analysed to determine the relationship between the Painlevé and singular