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Extended normal forms for one-dimensional border-collision bifurcations
P. A. Glendinning, D. J. W. Simpson
The border-collision normal form describes the local dynamics in continuous systems with switches when a fixed point intersects a switching surface. For one-dimensional cases where…
math.DS2024
Nonsmooth folds as tipping points
D. J. W. Simpson
A nonsmooth fold is where an equilibrium or limit cycle of a nonsmooth dynamical system hits a switching manifold and collides and annihilates with another solution of the same typ…