| Popis: |
This paper considers pattern formation in networks of identical nonlinear systems with time-delays. First of all, applying the harmonic balance methods, we derive the corresponding harmonic balance equations for networks of identical nonlinear systems with delay couplings. Then, solving the equations by reducing to the stability problem of linear retarded systems, we can estimate the oscillation profile such as the frequency, amplitudes and phases of coupled systems. Based on this analysis method, we also develop a design method of networks of nonlinear systems that can achieve a prescribed oscillation profile. The effectiveness of the proposed methods is shown by numerical examples. |
