244 citations · 320 across the 15 of their papers we have counts for
4 papers · 1 filter
Example of simplest bifurcation diagram for a monotone family of vector fields on a torus
Claude Baesens, Marc Homs-Dones, Robert S. MacKay
We present an example of a monotone two-parameter family of vector fields on a torus whose bifurcation diagram we demonstrate to be in the class of "simplest" diagrams proposed by…
A new stochastic framework for ship capsizing
Manuela L. Bujorianu, Robert S. MacKay, Tobias Grafke +2
We present a new stochastic framework for studying ship capsize. It is a synthesis of two strands of transition state theory. The first is an extension of deterministic transition…
Normal hyperbolicity for non-autonomous oscillators and oscillator networks
Robert S. MacKay
This chapter presents a view of a non-autonomous oscillator as a mapping from input functions of time to a circle of possible solutions (state functions of time). It indicates how…
Variational properties of a nonlinear elliptic equation and rigidity
M. L. Bialy, R. S. MacKay
We consider in this paper elliptic equations which are perturbations of Laplace's equation by a compactly supported potential. We show that in dimension greater than three for a wi…