52 citations · 159 across the 19 of their papers we have counts for
19 papers
Catastrophe conditions for vector fields in
Mike R. Jeffrey
Practical conditions are given here for finding and classifying high codimension intersection points of hypersurfaces in dimensions. By interpreting those hypersurfaces as…
Uncountably many cases of Filippov's sewed focus
Paul Glendinning, S. John Hogan, Martin Homer +2
The sewed focus is one of the singularities of planar piecewise smooth dynamical systems. Defined by Filippov in his book 'Differential Equations with Discontinuous Righthand Sides…
Novel slow-fast behaviour in an oscillator driven by a frequency-switching force
Carles Bonet, Mike R. Jeffrey, Pau Martín +1
When an oscillator switches abruptly between different frequencies, there is some ambiguity in deciding how the system should be modelled at the switch. Here we describe two seemin…
Symmetries from mixtures: an algebra for gauge theories
Mike R. Jeffrey
We present here a product between vectors and scalars that {\it mixes} them within their own space, using imaginaries to describe geometric products between vectors as complex vect…
Ageing of an oscillator due to frequency switching
Carles Bonet, Mike R. Jeffreyy, Pau Martin +1
If an oscillator is driven by a force that switches between two frequencies, the dynamics it exhibits depends on the precise manner of switching. Here we take a one-dimensional osc…
Complex geometry and fundamental physical law
Mike R. Jeffrey
We present here a product between vectors and scalars that mixes them within their own space, using imaginaries to describe geometric products between vectors as complex vectors, r…