20 citations · 56 across the 4 of their papers we have counts for
4 papers
Analytic Behaviour of Competition among Three Species
PGL Leach, J Miritzis
We analyse the classical model of competition between three species studied by May and Leonard ({\it SIAM J Appl Math} \textbf{29} (1975) 243-256) with the approaches of singularit…
Symmetry, singularities and intregrability in complex dynamics VII: Integrability Properties of FRW-Scalar Cosmologies
Peter Leach, Spiros Cotsakis, John Miritzis
This paper considers some physically interesting cosmological dynamical systems in the FRW-scalarfield category which are examined for integrability according to the criterion of P…
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…
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…