Universal transition to inactivity in global mixed coupling

Publication date: Available online 9 April 2019Source: Physics Letters AAuthor(s): K. Yadav, N.K. Kamal, M.D. ShrimaliAbstractThe collective dynamics of a network of nonlinear oscillators can be represented in terms of activity level of the network. We have studied a universal transition from activity to inactivity in a globally coupled network of identical oscillators. We consider mixed coupling, where some of the network elements interact through the similar variables while others with dissimilar variables. The coupling strength at which the network become inactive is inversely proportional to the ratio of number of elements coupled through similar variable to the number of elements coupled through dissimilar variables. Results are presented for the network of various globally coupled limit-cycle oscillators such as Stuart-Landau oscillators, Macarthur prey-predator model as well as for the chaotic Rösller oscillators. The analytical condition for the onset of inactivity in the system is calculated using linear stability analysis which is found to be in good agreement with the numerical results.

Source: Physics Letters A - April 11, 2019 Category: Physics Source Type: research