138 citations · 240 across the 14 of their papers we have counts for
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math.DS2023★ 2 cited
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…
math.DS2023
Heterodimensional cycles and noninvertible blenders in piecewise smooth two dimensional maps
Paul Glendinning
Heterodimensional cycles are heteroclinic cycles that connect periodic orbits whose unstable manifolds have different dimensions. This is a source of nonhyperbolic dynamics and uns…
math.DS2023★ 1 cited
Differentiable conjugacies for one-dimensional maps
P. A. Glendinning, D. J. W. Simpson
Differentiable conjugacies link dynamical systems that share properties such as the stability multipliers of corresponding orbits. It provides a stronger classification than topolo…