Parametric decay instability control by non-monochromatic pumps

Parametric instability of a monochromatic Alfven wave: Perpendicular decay in low beta plasma

The Chaos Control in Parametric Decay Instability of Stimulated Backscattering by a Pump Frequency Modulation

Over the past decade, the problem of chaos controlling in plasmas attracted significant attention due to the importance of this topic for many processes in plasma physics [1-3]. In addition to the general interest of this subject the studies were motivated by the possibility of reduction of the anomalous transport, associated with plasma turbulent phenomena. It is well known that almost all sys...

Onset of stochasticity in decay confinement of parametric instability

A dynamic system of the three resonantly coupled waves, two of which are parametrically excited, is investigated. It is shown that when the pump amplitude is increased in this system, a strange attractor (analogous to the known Lorentz attractor) is produced and corresponds to stochastic self-oscillations of the wave amplitudes, yet the phases are always fully correlated. A concrete realization...

On the non-parametric multivariate control charts in fuzzy environment

Multivariate control chats are generally used in situations where the simultaneous monitoring or control of two or more related quality characteristics is necessary. In most processes in the real world, distribution of the process characteristics are unknown or at least non-normal, so the non-parametric or distribution-free charts are desirable. Most non-parametric statistical process-control t...

Pattern Generation by Dissipative Parametric Instability.

Nonlinear instabilities are responsible for spontaneous pattern formation in a vast number of natural and engineered systems, ranging from biology to galaxy buildup. We propose a new instability mechanism leading to pattern formation in spatially extended nonlinear systems, which is based on a periodic antiphase modulation of spectrally dependent losses arranged in a zigzag way: an effective fi...