Ranjib Banerjee earned Master and PhD in applied mathematics from Jadavpur University, one of the most prestigious universities in India.

 

His primary research area includes synchronization in chaotic oscillators, complex network, pattern formation, computational mathematics. He published many research papers in reputed national and international journals. He’s an active reviewer of many international journals.

Two identical chaotic oscillators are mediated by a third chaotic oscillator in which a heterogeneity in form of parameter mismatch is being induced. Due to the presence of heterogeneity in the intermediate oscillator, the synchronization threshold between the indirectly coupled distant oscillator reduces, hence the enhancement.

 

The reason of enhancement is found to be the lag synchronization emerged between the mismatched relay oscillator and its neighboring identical oscillator. The mechanism is tested with different one and 2-dimensional arrays of oscillators and found general. Different chaotic systems, such as Lorenz oscillator, Rossler oscillator etc., are used as a dynamical unit for numerical verification of the phenomenon. The phenomenon is found true in different network of oscillators.