.... The study focuses on the system’s dynamic behavior, equilibrium points, Lyapunov exponents, and Poincaré sections, as well as bifurcation diagrams and coexisting attractors to thoroughly characterize its properties. Moreover, two main methods were investigated to control the hyperchaos: linear feedback...

... amplitude using Lyapunov exponents. Finally, parametric analyses are carried out to identify the critical design parameters of the NVAI. These analyses reveal that an increase in the damping, mass, and inertance of the absorber ameliorates the performance of the NVAI. Furthermore, the critical value...

...Nataliya V. Stankevich; Natalya A. Shchegoleva; Igor R. Sataev; Alexander P. Kuznetsov Using an example a system of two coupled generators of quasi-periodic oscillations, we study the occurrence of chaotic dynamics with one positive, two zero, and several negative Lyapunov exponents. It is shown...

... attractors and period-2 attractors have been found to be the main feature in the models when traffic flow is not very jammed. When traffic is heavy, period doubling and chaos were observed. The presence of chaos was confirmed by positive Lyapunov exponents and fractal dimensions. The ranges of parameters...