12 citations · 14 across the 5 of their papers we have counts for
5 papers
Exponential Dichotomy for Noninvertible Linear Difference Equations
F. Battelli, M. Franca, K. J. Palmer
In this article we study exponential dichotomies for noninvertible linear difference equations in finite dimensions. After giving the definition, we study the extent to which the p…
Linearization and H\" older Continuity for Nonautonomous Systems
Lucas Backes, Davor Dragičević, Kenneth J. Palmer
We consider a nonautonomous system \[ \dot x=A(t)x+f(t,x,y),\quad \dot y = g(t,y)\] and give conditions under which there is a transformation of the form …
On the dynamics of skew tent maps
Kaijen Cheng, Kenneth Palmer
In this paper we give an elementary treatment of the dynamics of skew tent maps. We divide the two-parameter space into six regions. Two of these regions are further subdivided int…
The Bohl spectrum for nonautonomous differential equations
Thai Son Doan, Kenneth J. Palmer, Martin Rasmussen
We develop the Bohl spectrum for nonautonomous linear differential equation on a half line, which is a spectral concept that lies between the Lyapunov and the Sacker--Sell spectrum…
Lipschitz Shadowing for Flows
Kennet J. Palmer, Sergei Pilyugin, Sergey Tikhomirov
Let be the flow generated by a smooth vector field on a smooth closed manifold. We show that the Lipschitz shadowing property of is equivalent to the structural stabili…