Determination of chaos in different jerk systems: dynamical study, circuit design

In this paper, the authors proposesdifferent new Jerk systems with their characteristics and identification ofchaos using several mathematical techniques: bifurcation diagrams; phaseportraits; Lyapunov exponents; Kaplan-Yorke dimension and equilibrium pointanalysis. In addition, numerical experiments are conducted to furtherdemonstrate these results. The paper show that one of the proposed systems isparticularly interesting for real applications because it is the most sensitiveto the initial conditions, with a chaotic behavior of a high level ofcomplexity and multiple stability. As an application, they designed acorresponding electronic circuit to realize the mentioned chaotic system.