A 4D chaotic system with seventeen equilibria: Synchronization and anti-synchronization
作者： Piklu Das , Piyush Pratap Singh , None
DOI: 10.1109/ICPEE50452.2021.9358496
关键词: Chaotic 、 Lyapunov function 、 Lyapunov exponent 、 Attractor 、 Phase plane 、 Exponential stability 、 Computer science 、 Nonlinear system 、 Root locus 、 Control theory
摘要: This paper puts forward a 4D autonomous chaotic system, synchronisation and anti-synchronisation using nonlinear active control technique. The system is analyzed by available qualitative quantitative tools like phase plane analysis, time series plot, root locus, Lyapunov exponent spectrum analyses. proposed has seventeen equilibria coexisting attractors of two single wings shows symmetric behaviour with respect to origin coordinate plane. dynamic reflects sensitive dependence on initial conditions exploring different types between systems challenging task. Synchronisation are accomplished Control laws designed employing sum pertinent variables drive response systems. direct stability theorem used global asymptotic condition derived confirm the error dynamics. Simulation finished in MATLAB environment reveals accomplishment objectives.
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