In this paper, a class of second order forced nonlinear differential equation is considered and several new oscillation theorems are obtained. Our results generalize and improve those known ones in the literature.

In this paper, we study the oscillation of certain higher-order neutral partial functional differential equations with the Robin boundary conditions. Some oscillation criteria are established. Two examples are given to illustrate the main results in the end of this paper.

The “classical” indium/thiocyanate oscillator is studied in some more detail at the HMDE. Several qualitative dependences are investigated. Multiperiodic “mixed-mode” oscillations and aperiodic oscillations are observed near the system’s transition from steady state to oscillatory behatiour. These oscillations are very reminiscent of those observed in other (electro)chemical oscillators, and se...

With a quantizer, limit cycles oscillations are inevitable if the controller has integral action independent of the controller tuning. Proof: At steady state the average uss = r/|G(0)| does not generally match uq. With oscillations between two quantization levels, uss = uq1 · f + uq2 · (1− f ) [f = fraction of time at a given quantizer level]. Sinusoidal oscillations Consider the following system:

Context. Standing transverse oscillations of coronal loops are observed to operate in two regimes: rapidly decaying, large amplitude oscillations and undamped small amplitude oscillations. In the latter regime the damping should be compensated by energy supply, which allows the loop to perform almost monochromatic oscillations with almost constant amplitude and phase. Different loops oscillate ...