Co-existence of synchronization and anti-synchronization in Generalized Lorenz System with application to secure communications

Synchronization and anti- Synchronization between two Generalized Lorenz Systems coupled in a master slave configuration is investigated. Coupling between the master and slave is enabled through a non-linear control mechanism. Synchronization between the state variables of master and slave is achieved by appropriate choice of parameters. When one of the control parameter is varied, a continuous change-over from synchronization to anti-synchronization is observed. Anti-synchronization between master and slave is achieved for two of the state variables while the third state variable exhibits synchronization. A study of encoding and decoding of messages in this system is carried out. Messages of distinct frequencies are encoded at each of the state variables of master. These messages are decoded and recovered at slave for both states of synchronization viz synchronized and anti-synchronized states.