Properties of the wall impedance of a storage ring are studied for a low relativism, 1 1: Both broad and narrow band impedances are shown to be damped at low energies, the damping factors are found. Coherent motion of a coasting beam is discussed; Landau decrements are calculated.

Some biomechanical models are represented by nonlinear first order ordinary differential equations. The objective of this study is to determine the velocity of a biomechanical model that involves a cyclist coasting downhill. Two methods namely; the modified explicit and diagonally implicit fifth–order Runge–Kutta methods are utilised. The performance of the two methods is compared with the exac...

• Three-phase sine waves 192 steps per electrical revolution 10-bit amplitude resolution • Hardware dead-time generation • Controlled by hall-sensors • Speed control through run-time scaling of sine wave amplitude Speed reference from analog input • Automatically synchronizes to a running motor at startup • Safe startup using block-commutation the first commutation steps • Direction controlled ...

In beams which are suf®ciently close to the linear stability limit, a variety of nonlinear wave phenomena are readily observed which can be used to diagnose aspects of the beam dynamics and the machine impedance. We have found that debunched beams in both the Fermilab Main Ring and the Tevatron are marginally stable to longitudinal oscillations and exhibit nonlinear three-wave coupling as well ...

When the scale factor of expansion universe is written as $ a(t)\equiv Ae^{\alpha(t)}$, with $A$ some real constant and $\alpha(t)$ a function, gravitational action $I_G$ appears in same form matter $I_M$ for homogeneous isotropic scalar field specific factor-dependent potential. We observe that by making analytic continuation Lagrangian function this to complex plane $\alpha$, one can obtain t...