35 citations · 111 across the 11 of their papers we have counts for
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math.DS2012★ 15 cited
Stability of a 2-dimensional Mathieu-type system with quasiperiodic coefficients
Thomas Waters
In the following we consider a 2-dimensional system of ODE's containing quasiperiodic terms. The system is proposed as an extension of Mathieu-type equations to higher dimensions,…
math.DS2012★ 7 cited
Non-integrability of geodesic flow on certain algebraic surfaces
Thomas Waters
This paper addresses an open problem recently posed by V. Kozlov: a rigorous proof of the non-integrability of the geodesic flow on the cubic surface . We prove this is th…