this paper proposes a novel approach for coherent generators online clustering in a large power system following a wide area disturbance. an interconnected power system may become unstable due to severe contingency when it is operated close to the stability boundaries. hence, the bulk power system controlled islanding is the last resort to prevent catastrophic cascading outages and wide area bl...

Let G be a group generated by r elements g1, g2, . . . , gr. Among the reduced words in g1, g2, . . . , gr of length n some, say γn, represent the identity element of the group G. It has been shown in a combinatorial way that the 2nth root of γ2n has a limit, called the cogrowth exponent with respect to generators g1, g2, . . . , gr. We show by analytic methods that the numbers γn vary regularl...

The activation pattern of many hindlimb flexor and extensor motoneurons (MNs) in walking can be described as simple: a single burst of spikes in the appropriate phase of walking. However, in muscles which cross more than one joint (here called bifunctional muscles), the activation pattern is complex, consisting of activity during both the flexion and extension phases. The neural origin of the c...

In this paper a fast algorithm to compute cohomology group generators of cellular decomposition of any orientable closed 2-manifold is presented. The presented algorithm is a dual version of algorithm to compute homology generators presented by David Eppstein [12] and developed by Jeff Erickson and Kim Whittlesey [13]. Keyworks computational cohomology, cohomology generators, combinatorial 2-ma...

We study the horofunction boundary of an Artin group of dihedral type with its word metric coming from either the usual Artin generators or the dual generators. In both cases, we determine the horoboundary and say which points are Busemann points, that is the limits of geodesic rays. In the case of the dual generators, it turns out that all boundary points are Busemann points, but this is not t...