Open AccessBifurcation Analysis and Electronic Circuit for Sprott Jerk System
Author(s) -
R Apip Miptahudin
Publication year - 2021
Publication title -
international journal of quantitative research and modeling
Language(s) - English
Resource type - Journals
eISSN - 2722-5046
pISSN - 2721-477X
DOI - 10.46336/ijqrm.v2i2.145
Subject(s) - jerk , phase portrait , lyapunov exponent , bifurcation , bifurcation diagram , attractor , chaotic , control theory (sociology) , matlab , computer science , quadratic equation , lyapunov function , function (biology) , mathematics , physics , mathematical analysis , artificial intelligence , nonlinear system , biology , geometry , control (management) , classical mechanics , acceleration , quantum mechanics , operating system , evolutionary biology
In this paper, the Sprott jerk system based quadratic function is presented. The dynamics of this system is revealed through equilibrium analysis, phase portrait, bifurcation diagram and Lyapunov exponents. The Sprott system can exhibit a chaotic attractor, which has complex dynamic behavior. Finally, the circuit implementation is carried out to verify the Sprott Jerk system. The comparison between the MATLAB and MultiSIM simulation results demonstrate the effectiveness of the Sprott system.