Analysis, nonlinear control, and chaos generator circuit of another strange chaotic system

Authors: İHSAN PEHLİVAN, ZHOUCHAO WEI

Abstract: In this paper, we introduce a new 3-dimensional quadratic continuous autonomous chaotic system. This system can generate strange and interesting attractors. Some basic dynamical properties, such as bifurcations, and chaotic behaviors of the new chaotic system are investigated analytically and numerically. We propose a nonlinear control scheme to discuss codimension 1 and 2 Hopf bifurcations. In addition, a new circuit implementation of the chaotic attractor is reported and examined in PSpice. The new system is suitable for purposefully generating chaos in chaos-based engineering applications.

Keywords: Chaotic oscillator, chaotic circuit, chaotic attractor, chaotic system, limit cycle, degenerate Hopf bifurcation, Lyapunov coefficient

Full Text: PDF