Open AccessA New 3-D Multistable Chaotic System with Line Equilibrium: Dynamic Analysis and Synchronization
Author(s) -
Muhamad Deni Johansyah
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.v2i1.126
Subject(s) - multistability , attractor , chaotic , equilibrium point , synchronization of chaos , synchronization (alternating current) , chaotic hysteresis , control theory (sociology) , nonlinear system , computer science , line (geometry) , chaotic systems , mathematics , topology (electrical circuits) , physics , control (management) , mathematical analysis , artificial intelligence , geometry , quantum mechanics , combinatorics
This work introduces a new 3-D chaotic system with a line of equilibrium points. We carry out a detailed dynamic analysis of the proposed chaotic system with five nonlinear terms. We show that the chaotic system exhibits multistability with two coexisting chaotic attractors. We apply integral sliding mode control for the complete synchronization of the new chaotic system with itself as leader-follower systems.