58 citations · 223 across the 15 of their papers we have counts for
16 papers
Synchronization of networks of piecewise-smooth systems
Marco Coraggio, Pietro DeLellis, S. John Hogan +1
We study convergence in networks of piecewise-smooth (PWS) systems that commonly arise in applications to model dynamical systems whose evolution is affected by macroscopic events…
The Geometry of the Painlevé paradox
Noah Cheesman, S. John Hogan, Kristian Uldall Kristiansen
Painlevé showed that there can be inconsistency and indeterminacy in solutions to the equations of motion of a 2D rigid body moving on a sufficiently rough surface. The study of Pa…
Regularisation of isolated codimension-2 discontinuity sets
Noah Cheesman, Kristian Uldall Kristiansen, S. J. Hogan
Work on standard piecewise-smooth (PWS) dynamical systems, with codimension-1 discontinuity sets, relies on the Filippov framework, which does not always readily generalise to syst…
Control of Painlevé Paradox in a Robotic System
Davide Marchese, Marco Coraggio, S. John Hogan +1
The Painlevé paradox is a phenomenon that causes instability in mechanical systems subjects to unilateral constraints. While earlier studies were mostly focused on abstract theoret…
A dynamical systems model of unorganised segregation in two neighbourhoods
D. J. Haw, S. J. Hogan
We present a complete analysis of the Schelling dynamical system [Haw2018] of two connected neighbourhoods, with or without population reservoirs, for different types of linear and…
On the regularization of impact without collision: the Painlevé paradox and compliance
S. J. Hogan, K. Uldall Kristiansen
We consider the problem of a rigid body, subject to a unilateral constraint, in the presence of Coulomb friction. We regularize the problem by assuming compliance (with both stiffn…