2 citations · 2 across the 2 of their papers we have counts for
5 papers
Finite-Time Analysis of Crises in a Chaotically Forced Ocean Model
Andrew R. Axelsen, Courtney R. Quinn, Andrew P. Bassom
We consider a coupling of the Stommel box model and the Lorenz model, with the goal of investigating the so-called "crises" that are known to occur given sufficient forcing. In thi…
An explicit Maclaurin series solution to a classic non-autonomous abstract evolution equation
Andrew Bassom, Phil Howlett, Peter Taylor
It is well known that the non-autonomous scalar differential equation of evolution has a unique solution given by an elementary exponential function. In general there is no such an…
On Integrable Ermakov-Painlevé IV Systems
Colin Rogers, Andrew P. Bassom, Peter A. Clarkson
Novel hybrid Ermakov-Painlevé IV systems are introduced and an associated Ermakov invariant is used in establishing their integrability. Bäcklund transformations are then employed…
Conservation laws and integral relations for the Boussinesq equation
Adrian Ankiewicz, Andrew P. Bassom, Peter A. Clarkson +1
We are concerned with conservation laws and integral relations associated with rational solutions of the Boussinesq equation, a soliton equation solvable by inverse scattering whic…
On the interaction of uni-directional and bi-directional buckling of a plate supported by an elastic foundation
M. Khurram Wadee, David J. B. Lloyd, Andrew P. Bassom
A thin flat rectangular plate supported on its edges and subjected to in-plane loading exhibits stable post-buckling behaviour. However, the introduction of a nonlinear (softening)…