Synchronization Phenomena Investigation of A New Nonlinear Dynamical System 4-D by Gardano’s and Lyapunov’s Methods

Synchronization is one of the most important characteristics dynamic systems. For this paper, authors obtained results for nonlinear systems controller custom two 4D The findings have allowed to develop analytical approaches using second Lyapunov (Lyp) method and Gardano method. Since does not involve development special positive Lyp functions, it very efficient convenient achieve excessive system SYCR phenomena. Error overcome by overcoming some problems in Lyp. Thus we get a great investigation into convergence error dynamics, paper are interested giving numerical simulations proposed model clarify check them, an aspect that will be studied Complete hybrid anti-Synchronization, making use expansion analysis, control developed determine actual. basic idea way receive evolution between methods. Finally, present has been applied showing new attractor, compared with other approximate results, nearly good coincidence was obtained.