Visual synchronization of two 3-variable Lotka–Volterra oscillators based on DNA strand displacement

Abstract

DNA strand displacement as a theoretic foundation is helpful in constructing reaction networks and DNA circuits.

Backstepping synchronization control for four-dimensional chaotic system based on DNA strand displacement

“…As shown in table 4, a summary of the comparison of various control methods based on DSD is presented. Work [17] only achieves the compilation and visual coupled synchronization for the classical two 3-variable Lotka-Volterra oscillators. Work [18] and work [38] give the compilation and coupled synchronization control of hyper-Lorenz system in DSD based technique, which provides a theoretical basis for subsequent scholars.…”

“…Up to now, many papers have been published on the compilation and control of chaotic systems by DSD technology. For instance, DNA strands with fluorophores and dark quenchers constitute the synchronous reaction module, which realizes the visual synchronization for LotkaVolterra oscillators [17]. The PI controller is designed via DSD technology in [18], which achieves the stability of a three-dimensional chaotic oscillation system.…”

“…In addition, the dynamic characteristics of the designed chaotic system are examined utilizing the spectral entropy complexity algorithm. Compared with the traditional three variable chaotic system [17,19,39], the DNA system has more variables and more complex topology. Secondly, three controllers utilizing the DSD-based backstepping control technique are presented.…”

“…Finally, the synchronization control of two DNA chaotic systems is achieved using backstepping control technology, which is expected to enrich the synchronous control methods for DNA systems. Compared with the previously proposed synchronization control scheme [17][18][19], our synchronous control technology is more sophisticated to enhance the system's secure communication capabilities.…”

Smart Buildings IoT Networks Accuracy Evolution Prediction to Improve Their Reliability Using a Lotka–Volterra Ecosystem Model

“…In this paper, we propose a new model that studies the behavior of an IoT network with the predator–prey approach with external intromission of a third species (smart building maintenance staff). Although the LV approach is often used in animal ecosystems, there are some successful cases of the application of the LV model to other fields such as economy [20,21,22], chemistry [23,24,25], and infectious diseases [26,27] to name but a few. We have conducted an in-depth study of some of the most transferable applications in the industry, demonstrating that our approach is novel in the field of IoT and cannot be compared to other similar techniques.…”