Free and forced oscillations of a torsion spring pendulum damped by viscous and dry (Coulomb) friction are investigated analytically and with the help of computer simulations. An idealized mathematical model of dry friction described by the so-called z-characteristic is assumed. This simple physical model can explain many peculiarities in behavior of various oscillatory systems with dry frictio...

We show that a constant external magnetic field, generally speaking, is not able to prevent breaking (loss of smoothness) relativistic plasma oscillations, even if these are arbitrarily small perturbations the zero steady state. This result sharply differs from nonrelativistic case, where oscillations can be suppressed at any initial deviations by increasing field strength. Nevertheless, in the...

The dynamic equilibrium exploited by balanced steady-state free precession imaging develops slowly because its formation is dependent on both spin-spin and spin-lattice relaxation times. Attempting to image before steady state is established results in artifacts due to transient signal oscillations. Using a starter sequence to precondition the spin system can significantly reduce the delay befo...

The presence of bound states in a nanoscale electronic system attached to two biased, macroscopic electrodes is shown to give rise to persistent, non-decaying, localized current oscillations which can be much larger than the steady part of the current. The amplitude of these current oscillations and of the corresponding density oscillations depends on the entire history of the applied potential...

An optically thin resonator suspended over a substrate and illuminated with a laser forms an interference field that couples deflection of the resonator to absorption within it. For high enough laser powers, such resonators have been shown to be interferometrically transduced to stable oscillations due to the feedback between heating and deflection. The coupling between thermal stresses, deflec...

We consider a model of genetic network that has been previously presented by J. Lewis. This model takes the form of delay differential equations with two delays. We give conditions for the local stability of the non-trivial steady state. We investigate the condition under which stability is lost and oscillations occur. In particular, we show that when the ratio of the time delays passes a thres...

We study the motion of a sphere falling through soft viscoelastic materials when the time scale of the motion is short compared to the elastic relaxation time of the material. We observe shocks generated by the passage of the sphere at Mach numbers greater than 1. The sphere can undergo oscillations before reaching a steady terminal speed, and we show that these oscillations have the same frequ...

Recently there has been a strong interest in cross-frequency coupling, the interaction between neuronal oscillations in different frequency bands. In particular, measures quantifying the coupling between the phase of slow oscillations and the amplitude of fast oscillations have been applied to a wide range of data recorded from animals and humans. Some of the measures applied to detect phase-am...

Fast nonlinear devices with time-delayed feedback, developed for applications such as communications and ranging, typically include components that are ACcoupled, i.e. components that block zero frequencies. As an example of such a system, we describe a new opto-electronic device with band-limited feedback that uses a Mach-Zehnder interferometer as passive nonlinearity and a semiconductor laser...

Abstract A new class of high order weighted essentially non-oscillatory (WENO) schemes [J. Comput. Phys., 318 (2016), 110-121] is applied to solve Euler equations with steady state solutions. It is known that the classical WENO schemes [J. Comput. Phys., 126 (1996), 202-228] might suffer from slight post-shock oscillations. Even though such post-shock oscillations are small enough in magnitude ...