138 citations · 240 across the 14 of their papers we have counts for
4 papers · 1 filter
Unstable dimension variability, heterodimensional cycles, and blenders in the border-collision normal form
P. A. Glendinning, D. J. W. Simpson
Chaotic attractors commonly contain periodic solutions with unstable manifolds of different dimensions. This allows for a zoo of dynamical phenomena not possible for hyperbolic att…
Families of piecewise linear maps with constant Lyapunov exponent
V. Botella-Soler, J. A. Oteo, J. Ros +1
We consider families of piecewise linear maps in which the moduli of the two slopes take different values. In some parameter regions, despite the variations in the dynamics, the Ly…
Transition from stable orbit to chaotic dynamics in hybrid systems of Filippov type with digital sampling
Paul Glendinning, Piotr Kowalczyk
We demonstrate on a representative example of a planar hybrid system with digital sampling a sudden transition from a stable limit cycle to the onset of chaotic dynamics. We show t…
Multistability and nonsmooth bifurcations in the quasiperiodically forced circle map
Hinke Osinga, Jan Wiersig, Paul Glendinning +1
It is well-known that the dynamics of the Arnold circle map is phase-locked in regions of the parameter space called Arnold tongues. If the map is invertible, the only possible dyn…