In-phase and antiphase complete chaotic synchronization in symmetrically coupled discrete maps
The authors consider the system of coupled cubic maps \(x_{n+1}=f(x_n) +\gamma (f(y_n) -f(x_n))\), \(y_{n+1}=f(y_n) +\gamma (f(x_n) -f(y_n))\), where \(f(x)=(a-1)x-ax^3\). Two synchronization regimes are possible in this system: \(x=y\) and \(x=-y\). The authors call them complete in-phase and antiphase synchronization, respectively. The main purpose of the paper is to give a detailed study of the bifurcational mechanisms involved in appearance of both types of synchronization. Feedback control method is also used to achieve antiphase synchronization.
scientific article; zbMATH DE number 1921379
scientific article