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).

In this note we consider a method of generating functions for systems with constraints and, as an example, we prove that the billiard mappings for billiards on the Euclidean space, sphere, and the Lobachevsky space are sympletic. Further, by taking a quadratic generating function we get the skew-hodograph mapping introduced by Moser and Veselov, which relates the ellipsoidal billiards in the Eu...

We construct a massive non-abelian N = 1 SYM theory on R. This is achieved by using a non-local gauge and Poincare invariant mass term for gluons due to Nair. The underlying supersymmetry algebra is shown to be a non-central extension of the Poincare algebra by the spacetime rotation group so(3). The incorporation of Chern-Simons couplings in the formalism is also presented. The dimensional red...

The polynomial invariants of a certain classical linear group of order 336 arise naturally in studying error-correcting codes over GF(7). An incomplete description of these invariants was given by Maschke in 1893. With the aid of the Poincare series for this group, found by Edge in 1947, we complete Maschke's work by giving a unique representation for the invariants in terms of 12 basic invaria...

Heart Rate Variability (HRV) is the measure of time difference between two successive heart beats and its variation occurring due to internal and external stimulation causes. HRV is a non-invasive tool for indirect investigation of both cardiac and autonomic system function in both healthy and diseased condition. It has been speculated that HRV analysis by nonlinear method might bring potential...