40 citations · 87 across the 7 of their papers we have counts for
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math.DS2008★ 40 cited
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…
nlin.CD2008★ 18 cited
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…
math.DS2008★ 15 cited
Unfolding a Codimension-Two, Discontinuous, Andronov-Hopf Bifurcation
D. J. W. Simpson, J. D. Meiss
We present an unfolding of the codimension-two scenario of the simultaneous occurrence of a discontinuous bifurcation and an Andronov-Hopf bifurcation in a piecewise-smooth, contin…