Dynamic behavior of a circular shaft with geometrical nonlinearity and constant spin, subjected to periodic axial load is investigated. The case of parametric combination resonance is studied. Extension of shaft center line is the source of nonlinearity. The shaft has gyroscopic effect and rotary inertia but shear deformation is neglected. The equations of motion are derived by extended Hamilto...

We investigate the dynamical phase diagram of the fractional Langevin equation and show that critical exponents mark dynamical transitions in the behavior of the system. For a free and harmonically bound particle the critical exponent alpha(c)=0.402+/-0.002 marks a transition to a nonmonotonic underdamped phase. The critical exponent alpha(R)=0.441... marks a transition to a resonance phase, wh...

It is suggested that the frequency selectivity of the ear may be based on the phenomenon of mode conversion rather than critical layer resonance. The distinction is explained and supporting evidence discussed. PACS numbers: 43.64.Kc, 43.66.Ba

We discuss the subtle finite-size effects of the dynamic phase transition (DPT) in a two-dimensional kinetic Ising ferromagnet driven by an oscillating external field. We present computational and analytical evidence that there is no finite-temperature tri-critical point in the dynamic phase diagram of this model. This contrasts with earlier claims [1–3] for the existence of a tri-critical poin...

A method is reported for evaluating ion trap mass analyzers by selection of operating conditions under which both boundary and resonance ejection peaks occur in a single mass scan. The choice of frequency and amplitude of the auxiliary waveform applied for resonance ejection can be such as to produce a resonance ejection mass spectrum with unit resolution or, under selected conditions, signals ...