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...

Chaos occurs in the crystal growth process as an irregular swing phenomenon flexible shaft rotating-lifting (FSRL) system. may lead to failure of mono-silicon production. Therefore, it should be suppressed. Many chaos control methods have been proposed theoretically and some them used applications. For a practical plant displaying harmful chaos, engineers from specific area usually face with ch...

Control of chaos refers to a process wherein a tiny perturbation is applied to a chaotic system, in order to realize a desirable (chaotic, periodic, or stationary) behavior. We review the major ideas involved in the control of chaos, and present in detail two methods: the Ott}Grebogi}Yorke (OGY) method and the adaptive method. We also discuss a series of relevant issues connected with chaos con...

The study of deterministic laws of evolution has characterized the development of science since Newton’s times. Chaos, namely the manifestation of irregular and unpredictable dynamics (not random but look random [1]), entered the debate on determinism at the end of the 19th century with the discovery of sensitivity to initial conditions, meaning that small infinitesimal differences in the initi...

We carried out a fluid dynamical simulation for a forced dripping faucet system using a new algorithm that was recently developed. The simulation shows that periodic external forcing induces transitions from chaotic to periodic motion and vice versa. We further constructed an improved mass-sprig model for the same system on the basis of data obtained from the fluid dynamical computations. A det...

Based on a new first-order nonlinear ordinary differential equation with a sixth-degree nonlinear term and some of its special solutions, a generalized transformation method is proposed to obtain more general exact solutions of the (2+1)-dimensional Konopelchenko-Dubrovsky equations. As a result, new exact nontravelling wave solutions are obtained including soliton-like solutions and trigonomet...

We investigate a discrete-time Chen system. First, we give the topological classifications of fixed points this Then, analytically show that discrete system underlies Neimark–Sacker (NS) bifurcation and period doubling (PD) under specific parametric circumstances. confirm existence PD NS via explicit PD-NS criterion determine direction both bifurcations with help center manifold theory. perform...

For any continuous self-map of a compact metric space, we prove saturation distributionally scrambled Mycielski sets under type shadowing and the chain transitivity. This extends result J. Li, S. Tu, Devaney chaos plus implies distributional chaos, Chaos 26 (2016), 093103, 6 pp.