3 papers
math.DS2020
Asymptotic (statistical) periodicity in two-dimensional maps
Fumihiko Nakamura, Michael C. Mackey
In this paper we give a new sufficient condition for asymptotic periodicity of Frobenius-Perron operator corresponding to two--dimensional maps. The result of the asymptotic period…
math.DS2020
Periodic structures for nonlinear piecewise contracting maps
Fumihiko Nakamura
In this paper, we first show that any nonlinear monotonic increasing contracting maps with one discontinuous point on a unit interval which has an unique periodic point with period…
math.OC2020
Asymptotically stable control problems by infinite horizon optimal control with negative discounting
Fumihiko Nakamura
In the paper, for the system which possesses both an attractor and a stable fixed point, we first formulate new stable control problems to find the asymptotically stable control fu…