20 citations · 32 across the 2 of their papers we have counts for
2 papers
nlin.SI2001★ 20 cited
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…
gr-qc1997★ 12 cited
Adiabatic invariants and Mixmaster catastrophes
S. Cotsakis, R. L. Lemmer, P. G. L. Leach
We present a rigorous analysis of the role and uses of the adiabatic invariant in the Mixmaster dynamical system. We propose a new invariant for the global dynamics which in some r…