Complex dynamics in the reduced swing equations of a power system are investigated. As the change of bifurcation parameter μ, the system exhibits complex bifurcations, such as saddle-node bifurcation, Hopf bifurcation, cyclic fold bifurcation and torus bifurcations and complex dynamics, such as periodic orbits, quasiperiodic orbits, period-doubling orbits and chaotic attractors which link with ...

The butterfly-like Lorenz attractor is one of the best known images of chaos. The computations in this paper exploit symbolic dynamics and other basic notions of hyperbolicity theory to take apart the Lorenz attractor using periodic orbits. We compute all 111011 periodic orbits corresponding to symbol sequences of length 20 or less, periodic orbits whose symbol sequences have hundreds of symbol...

The orbits of a Borel subgroup acting on a symmetric variety G/H occur in several areas of mathematics. For example, these orbits and their closures are essential in the study of Harish Chandra modules (see [Vog83]). There are several descriptions of these orbits, but in practice it is actually very difficult and cumbersome to compute the orbits and their closures. Since the characterizations o...

Ultrathin frozen sections of biological tissues for electron microscopy provide certain advantages in cytochemical studies in which the penetration of cells by large molecules is necessary and in morphological studies of cellular constituents which are dissolved by the reagents employed in routine plastic embedding. The recent introduction of several types of commercially available cryo-ultrami...

submitted to WPGM, 2006 The IGS precise orbits of GPS have been widely used in the world ever since the beginning of their broadcast in 1994. Major changes have taken place both in the data processing softwares and the reference frame over the years, but the orbits have not been updated. In this study we reanalyzed the GPS data from the IGS global tracking station since 1994 and compared our re...

We study the unitary orbit of a normal operator $$a\in {{\mathcal {B}}}({{\mathcal {H}}})$$ , regarded as homogeneous space for action groups associated with symmetrically normed ideals compact operators. show an unified treatment that is submanifold various ambient spaces if and only spectrum finite, in case, it closed submanifold. For arithmetically mean ideals, we nevertheless always has nat...

We study some new types of bifurcation of periodic orbits in the planar three body problem (TBP) consisting of a heavy body (star) and two bodies of small or negligible mass (planets). When one planet has zero mass, we have the restricted TBP. If the massive planet revolves in a circular orbit around the star, we get the circular restricted model (CRTBP) and if its orbit is elliptic, with eccen...

Periodic orbits in an arbitrary 2nd degree and order uniformly rotating gravity field are studied. We investigate the four equilibrium points in this gravity field. We see that close relation exists between the stability of these equilibria and the existence and stability of their nearby periodic orbits. We check the periodic orbits with non-zero periods. In our searching procedure for these pe...

background and objectives: thyroid gland because of its superficial location is amenable to direct physical examination. clinical assessment of thyroid lesions by means of physical examination, thyroid scans and ultrasonography is not completely reliable. fine needle aspiration cytology (fnac) is the most cost-effective, safe and an initial diagnostic test in the pre-operative evaluation of thy...