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math.DS2021
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…
math.DS2017
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…
math.DS2011★ 2 cited
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…