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In recent times, synchronization in oscillatory systems under different coupling configurations (nearest neighborhood diffusive coupling, global coupling) has been investigated. It helps understanding functional behaviors of large dynamical systems like genetic networks, brain to name a few. Study on synchronization of complex dynamical network is an important new direction recently aiming at understanding complex behaviors in many real world networks by extending the existing knowledge of dynamical systems. It is noted that, in a coupled network, all the oscillators do not attain synchronization simultaneously for a definite coupling strength below a threshold. Some of them attain synchronization for lower coupling while others need larger coupling. In the process, the coupled system form clusters of oscillators at different state of synchronization before being synchronized all together for a coupling above a threshold. Such clustering can be used for practical purposes in a complex dynamical network. For his, engineering synchronization and clustering in dynamical systems and dynamical networks, in general, is thus important. A precise control of synchronization and clustering is again necessary. We propose here a technique how to induce synchronization and clustering: different types of synchronization (complete synchronization, antisynchronization) and even amplitude death in an array of coupled oscillators. We extended the method to complex dynamical network, at least, in numerical simulation. The basic methodology is implemented in electronic circuit using few coupled oscillators. |
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