Chaos synchronization of Lü dynamical system
The author considers the Lü system: \(\dot x = a(y-x)\), \(\dot y = -xz+cy\), \(\dot z = xy - bz\), where \(a\), \(b\), and \(c\) are positive parameters. Sufficient conditions are given for the synchronization of two such systems. Different coupling configurations are considered: master-slave configuration \(\dot u_1 = f(u_1)\), \(\dot u_2 = f(u_2) +k(u_1-u_2)\), direct substitution, and adaptive control.
scientific article; zbMATH DE number 2092990