It is shown that Poincare* duality groups which satisfy the maximal condition on centralisers have a canonical decomposition as the fundamental group of a finite graph of groups in which the edge groups are polycyclic-by-finite. The results give useful information only when there are large polycyclic subgroups. Since 3-manifolds groups satisfy Max-c, the results provide a purely grouptheoretic ...

Abstract: In this paper, the nonlinear dynamical behaviors of an active magnetic bearing-rotor system are investigated using numerical simulation. Firstly, the nonlinear magnetic force is obtained by Taylor series. Secondly, the primary-internal resonance of an AMBRS(active magnetic bearing) -rotor system is studied with the help of LungKutta method. To analyze the motion characters of system, ...

Poincare half-maps can be used to characterize the behavior of recurrent dynamical systems. Their usefulness is demonstrated for a linear three-dimensional single-loop feedback system. In this example everything can be calculated analytically. The resulting half-maps are "benign" endomorphic maps with a complicated topological structure. This is surprising since the combination of two such half...

By deriving an N-dimensional Poincare map, we explore the enhanced stability of Josephson series arrays using capacitive junctions. The analytic expression for the critical Floquet multiplier has a direct physical interpretation, affording new insight into the conditions that affect inphase stability. In particular, we generalize the well-known stability principle previously established for arr...

This paper is motivated by a previous work of Fonda et al. 6 in which the authors studied the behavior of a periodically forced charged particle moving on a line in a field generated by one or two fixed charged particles of the same sign. This model corresponds to a scalar ordinary differential equation with one or two singularities, and by means of critical point theory or the Poincare Birkhof...

Investigators from Necker Enfants Malades Hospital, Sorbonne Paris Cite University, Raymond Poincare University, and Paris Descartes University studied motor neuron function in children with Dravet syndrome (DS).

On-line monitoring and recognition of mill load status has significant effect on the operating efficiency, product quality and energy consumption for the milling circuit. Due to low reliability to recognize the operating states near the boundary region, a multiclassification model is built to identify the operating status of ball mill load. Spectrum features of shell vibration signals are extra...