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Journal of Applied Nonlinear Dynamics 8(4) (2019) 667--675 | DOI:10.5890/JAND.2019.12.011

Jayanta Kumar Sarkar, Mohammad Ali Khan, Barun Das

Department of Mathematics, Raja N.L.Khan Women’s College, Midnapore, West Bengal, India

Department of Mathematics, Ramananda College, Bishnupur,West Bengal, India

Department of Mathematics, SKB University, Purulia,West Bengal, India

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Abstract

In this paper, we study spatiotemporal synchronization activity (STSA) of coupled Gaussian maps in a complex network. Our complex networks are changed stochastically with time. A coupled map lattice (CML) is adopted in Gaussian map as a prototype of a spatiotemporal chaotic systems with variation of parameters. A key motivation is that to determine (i) the effects of variation of randomness, (ii) the effects of variation of coupling strength ε , (iii) the effects of variation of parameter α when β is fixed and (iv) the effects of variation of β when parameter α is fixed on the synchronization behaviour. The variation of the basin size with respect to rewiring probability for different coupling strength and basin size with respect to coupling strength ε for different randomness, different parameters α and β are also plotted.

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