Hyperchaotic Attractor in a Novel Hyperjerk System with Two Nonlinearities

Hyperjerk systems have received considerable interest in the literature because of their simplicity and complex dynamical properties. In this work, we introduce a novel hyperjerk system with an absolute nonlinearity and a quintic term. Interestingly, the hyperjerk system exhibits hyperchaotic behavior. Dynamics and the feasibility of the hyperjerk system are discovered by using numerical analysis and circuit implementation. Moreover, adaptive controllers have been designed for stabilization and synchronization of the new hyperjerk system. The control results have been established by using Lyapunov stability theory, and numerical simulations with MATLAB have been shown to illustrate the validity of the constructed adaptive controllers. © 2017, Springer Science+Business Media New York

Experimental and Simulated Chaotic RLD Circuit Analysis with the Use of Lorenz Maps

In this work, the method Ed. Lorenz used to analyze the dynamics of his strange attractor is applied in both an experimental and a simulation setup of a weakly-chaotic resistor-inductor diode (RLD) circuit. For that, the time-series generated by the simulation and the time-series captured from a digital oscilloscope connected to the real circuit implementation, are first investigated for the presence of chaos and then analyzed in order to collect the local maxima using TISEAN software. The present analysis shows that one-dimensional maps can be generated in both cases being also unimodal, verifying thus the period-doubling route to chaos of the RLD circuit as it has been reported in a previous work