9 citations · 10 across the 3 of their papers we have counts for
3 papers
Heteroclinic connections between finite-amplitude periodic orbits emerging from a codimension two singularity
Thomas J. Bridges, David J. B. Lloyd, Daniel J. Ratliff +1
Heteroclinic connections between two distinct hyperbolic periodic orbits in conservative systems are important in a wide range of applications. On the other hand, it is theoretical…
Finding Eigenvalues the Rupert Way
Colin J. Grudzien, Tom J. Bridges, Christopher K. R. T. Jones
We develop a stability index for the travelling waves of non-linear reaction diffusion equations using the geometric phase induced on the Hopf bundle $S^{2n-1} \subset \mathbb{C}^n…
Transverse instability and its long-term development for solitary waves of the (2+1)-Boussinesq equation
K. B. Blyuss, T. J. Bridges, G. Derks
The stability properties of line solitary wave solutions of the (2+1)-dimensional Boussinesq equation with respect to transverse perturbations and their consequences are considered…