40 citations · 87 across the 7 of their papers we have counts for
7 papers
Hopf-like bifurcations induced by hysteresis and time-delay near monodromic tangential singularities
Douglas D. Novaes, Paulo Santana, David J. W. Simpson
We investigate planar piecewise-analytic vector fields, focusing on the merged focus and other monodromic tangential singularities when hysteresis or time-delay is incorporated int…
Boundary Hopf bifurcations in three-dimensional Filippov systems
David J. W. Simpson
For piecewise-smooth ordinary differential equations, the occurrence of a Hopf bifurcation on a switching surface is known as a boundary Hopf bifurcation. Boundary Hopf bifurcation…
Chaotic attractors from border-collision bifurcations: stable border fixed points and determinant-based Lyapunov exponent bounds
D. J. W. Simpson
The collision of a fixed point with a switching manifold (or border) in a piecewise-smooth map can create many different types of invariant sets. This paper explores two techniques…
Simultaneous Border-Collision and Period-Doubling Bifurcations
David J. W. Simpson, James D. Meiss
We unfold the codimension-two simultaneous occurrence of a border-collision bifurcation and a period-doubling bifurcation for a general piecewise-smooth, continuous map. We find th…
Shrinking Point Bifurcations of Resonance Tongues for Piecewise-Smooth, Continuous Maps
D. J. W. Simpson, J. D. Meiss
Resonance tongues are mode-locking regions of parameter space in which stable periodic solutions occur; they commonly occur, for example, near Neimark-Sacker bifurcations. For piec…
Discontinuity Induced Bifurcations in a Model of Saccharomyces cerevisiae
D. J. W. Simpson, D. S. Kompala, J. D. Meiss
We perform a bifurcation analysis of the mathematical model of Jones and Kompala [K.D. Jones and D.S. Kompala, Cybernetic model of the growth dynamics of Saccharomyces cerevisiae i…