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Showing 2016 · math-phShow all
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math-ph2016★ 13 cited
Integrable reductions of the Bogoyavlenskij-Itoh Lotka-Volterra systems
Pantelis A. Damianou, Charalampos A. Evripidou, Pavlos Kassotakis +1
Given a constant skew-symmetric matrix A, it is a difficult open problem whether the associated Lotka-Volterra system is integrable or not. We solve this problem in the special cas…
math-ph2016★ 14 cited
Noetherian symmetries of noncentral forces with drag term
A. Ghose-Choudhury, Partha Guha, Andronikos Paliathanasis +1
We consider the Noetherian symmetries of second-order ODEs subjected to forces with nonzero curl. Both position and velocity dependent forces are considered. In the former case the…
math-ph2016★ 24 cited
Nonlinear Ordinary Differential Equations: A discussion on Symmetries and Singularities
Andronikos Paliathanasis, P. G. L. Leach
Two essential methods, the symmetry analysis and of the singularity analysis, for the study of the integrability of nonlinear ordinary differential equations are discussed. The mai…