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Mixed synchronization in chaotic oscillators using scalar coupling
Authors:Sourav K Bhowmick  Chittaranjan Hens  Dibakar Ghosh  Syamal K Dana
Institution:1. CSIR – Indian Institute of Chemical Biology, Jadavpur, Kolkata 700032, India;2. Department of Mathematics, University of Kalyani, West Bengal 741235, India
Abstract:We report experimental evidence of mixed synchronization in two unidirectionally coupled chaotic oscillators using a scalar coupling. In this synchronization regime, some of the state variables may be in complete synchronization while others may be in anti-synchronization state. We extended the theory by using an adaptive controller with an updating law based on Lyapunov function stability to include parameter fluctuation. Using the scheme, we implemented a cryptographic encoding for digital signal through parameter modulation.
Keywords:Mixed synchronization  Chaotic circuit  Adaptive linear controller  Cryptography
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