Global Dynamics Of Large-Scale System Consisting Of N Interactive Liénard Equations

The present thesis is devoted to investigate global asymptotic behavior of solutions for a large-scale system consisting of N interactive Liénard equations. By using the Liapunov stability theory on non-autonomous dynamics systems. Some new sufficient conditions of boundedness and convergence of solutions are given.It is shown that when the isolated Liénard equation is not stable,the global stability of such system can be achieved by suitable design of the connection matrix and the coupling strength.Finally,the numerical simulations are worked out to constute the correctness of the theoretical results.