84 citations · 656 across the 80 of their papers we have counts for
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Symmetry, singularities and integrability in complex dynamics V: Complete symmetry groups of certain relativistic spherically symmetric systems
P. G. L. Leach, M. C. Nucci, S. Cotsakis
We show that the concept of complete symmetry group introduced by Krause (J. Math. Phys.35 (1994) 5734-5748) in the context of the Newtonian Kepler problem has wider applicability,…
Symmetry, singularities and integrability in complex dynamics III: approximate symmetries and invariants
Peter Leach, Sibusio Moyo, Spiros Cotsakis +1
The different natures of approximate symmetries and their corresponding first integrals/invariants are delineated in the contexts of both Lie symmetries of ordinary differential eq…
Symmetry, singularities and integrability in complex dynamics II: Rescaling and time-translation in two-dimensional systems
Peter Leach, Spiros Cotsakis, George Flessas
The explicit integrability of second order ordinary differential equations invariant under time-translation and rescaling is investigated. Quadratic systems generated from the line…