We discuss the dynamics of a class of non-ergodic piecewise affine maps of the torus. These
maps exhibit highly complex and little understood behavior. We present computer graphics …

This paper presents recent results concerning possibilities of complex behavior in extremely
simple second-order digital filter structures. Two types of such behavior have been …

In this paper we present more analytical results about the complex behavior of a second
order digital filter with overflow nonlinearity. We explore the parameter space to obtain a …

Nonlinear digital-filter overflow-oscillations arising from two's complement arithmetic are
described with the emphasis on explaining the reasons for the behaviour and providing …

It is well known that the second-order digital filter with two's complement arithmetic may
exhibit chaotic behaviors. It is also known that for certain class of filter parameters, the …

In this paper a class of linear maps on the 2-torus and some planar piecewise isometries are
discussed. For these discontinuous maps, by introducing codings underlying the map …

In a previous paper, we introduced examples of Hamiltonian mappings with phase space
structures resembling circle packings. We now concentrate on one particular mapping and …

First, we introduce a certain class of piecewise affine elliptic rotation maps on T 2, called the
kaleidoscopic maps, and describe its importance. And then, we concentrate our efforts on a …

Due to the complexity of the maxillofacial surgery, the novice should be sufficiently trained
before one is qualified to carry on the surgery. To reduce the training costs and improve the …

The dynamic behaviors of a nonlinear second-order digital filter with two's complement
arithmetic under periodic inputs are explored. The conditions for avoiding overflow are …