The authors conducted two experiments that served as a test bed for applying the recently developed uncontrolled manifold (UCM) approach to rhythmic motor coordination, which has been extensivelyâ€¦ (More)

A semi-conjugacy from the dynamics of the global attractors for<lb>a family of scalar delay differential equations with negative feedback onto the<lb>dynamics of a simple system of ordinaryâ€¦ (More)

The two-dimensional stock cutting problem is well known and often studied. A genetic algorithm approach to the problem is developed that is capable of handling some of the more intractable forms ofâ€¦ (More)

For all masses, there are at least n ?2 O 2-orbits of non-collinear planar central conngurations. In particular, this estimate is valid even if the potential function is not a Morse function. If theâ€¦ (More)

In the N-body problem, it is a simple observation that relative equilib-ria (planar solutions for which the mutual distances between the particles remain constant) have constant moment of inertia. Inâ€¦ (More)

A well-known lower bound for the number of xed points of a self map f : X ! X is the Nielsen number N(f). Unfortunately, the Nielsen number is diicult to calculate. The Lefschetz number L(f), on theâ€¦ (More)

Given an unknown attractor A in a continuous dy-namical system, how we can discover the topology and dynamics of A? As a practical matter, how can we do so from only a-nite amount of information? Oneâ€¦ (More)

When a Hamiltonian system has a \Kinetic + Potential" structure, the resulting ow is locally a geodesic ow. But there may be singularities of the geodesic structure, so the local structure does notâ€¦ (More)

In Dynamical Systems, Birkho gave a clear formulation of a cross section, suggested a possible generalization to cross sections with boundary, and raised the question of whether or not such crossâ€¦ (More)