A new scheme of coupling and synchronizing low-dimensional dynamical systems

Abstract

A different manner of study synchronization between chaotic systems is presented. This is done by using two different forced coupled nonlinear circuits. The way of coupling the systems under study is different from those used in the analysis of chaos in dynamical systems of low dimensionality. The study of synchronization and how to manipulate it, is carried out through the variation of the couplings by calculating the bifurcation diagrams. We observed that for rather larger values of the coupling between the circuits it is reached total synchronization, while for small values of the coupling it is obtained, in the best of the cases, partial synchronization.

Master-slave synchronization in the van der Pol and Duffing systems via elastic, dissipative and a combination of both couplings

“…The numerical simulations were achieved using the fourth order of the Runge-Kutta method. A modified master-slave scheme leading to synchronization even in the cases where the classical master-slave scheme fails, was considered by Uriostegui-Legorreta et al (2021). The system analyzed in this reference can be separated into two parts (see Equations 10 and 11).…”

“…As far as the coupling between the van der Pol and Duffing oscillators is referred, we can mention three different couplings, namely: gyroscopic, dissipative, and elastic Chedjou et al (2001Chedjou et al ( , 2006, , Siewe et al (2010a), Uriostegui-Legorreta et al (2021), Vicent and Kenfack (2008). Among the diverse ways of coupling, the most used are the elastic and dissipative ones Kengne et al (2012;2014).…”

“…Among the diverse ways of coupling, the most used are the elastic and dissipative ones Kengne et al (2012;2014). In a previous work Uriostegui- Legorreta et al (2021), it is analyzed a different approach of synchronizing two distinct oscillators of low dimensionality, using the aforementioned couplings.…”

“…In this work, we study and compare three types of couplings by using the van der Pol and Duffing systems: the elastic, the dissipative and a combination of both couplings Uriostegui-Legorreta et al (2021). It is important to remark that the studies in the literature on this kind of synchronization are based only on one coupling.…”

Vacancy defects on structural and optoelectronic properties of double perovskite Cs2AgInCl6: A density functional theory investigation

“…However, their toxicity, as well as thermodynamic instability and the possibility of decomposition upon exposure to light and moisture, limit their photovoltaic applications [17,18]. Researchers have addressed the issues caused by toxicity and instability by developing various strategies, such as multiple-cation substitution [19], hydrophobic moiety incorporation [20], surface passivation of a perovskite absorbers [21], carbon encapsulation [22] and a low-dimensionality scheme or treatment [23]. Among these strategies, the most promising and feasible approach is to replace the Pb element with non-toxic elements [24].…”