64 citations · 387 across the 46 of their papers we have counts for
Showing 2020 · math.DSShow all
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math.DS2020
Detecting invariant expanding cones for generating word sets to identify chaos in piecewise-linear maps
David J. W. Simpson
We show how the existence of three objects, , , and , for a continuous piecewise-linear map on , implies that has a topological attr…
math.DS2020
Homoclinic tangencies with infinitely many asymptotically stable single-round periodic solutions
S. S. Muni, R. I. McLachlan, D. J. W. Simpson
We consider a homoclinic orbit to a saddle fixed point of an arbitrary map on and study the phenomenon that has an infinite family of asymptotical…
math.DS2020★ 10 cited
Numerical Bifurcation Analysis of Pacemaker Dynamics in a Model of Smooth Muscle Cells
Hammed O. Fatoyinbo, Richard G. Brown, David J. W. Simpson +1
Evidence from experimental studies shows that oscillations due to electro-mechanical coupling can be generated spontaneously in smooth muscle cells. Such cellular dynamics are know…