2,312 publications from this institution
In this paper, hidden bifurcation routes to multiscroll chaotic attractors generated by saturated function series are explored. The method to nd such hidden bifurcation routes (HBR) depending upon two parameters is similar to the method introduced by Menacer, et al. (2016) for Chua multiscroll attractors. These HBR are characterized by the maximal range extension (MARE) of their attractors and coding the appearance order of the scrolls under the control of the two parameters. Moreover, these HDR have interesting symmetries with respect to the two parameters. The novelty that this article introduces, is firstly the paradigm of MARE and the formula giving their approximate value depending upon parameters p and q, which is linked to the size of the scrolls; secondly the coding of the HBR which is dened for the first time including the basic cell; and thirdly unearthing the symmetries of these routes, allowing to obtain their coding without any numerical computation.This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium provided the original work is properly cited.
This paper discusses a new design and implementation of a liquid mixing apparatus based on the commonly used stirred tank model. This mixer is capable of working under the control of different kinds of signals, including DC signals, periodic signals and chaotic signals. Chaotic signals, in particular, are generated and applied to the impeller/tank velocity control mechanism, exploring the efficacy of chaotic perturbations in liquid mixing. Comparable experiments reveal that the chaotic perturbations injected into the stirred tank help enhance the liquid mixing efficiency quite significantly, based on the sucrose dissolution experiments in our laboratory.
