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Globally coupled map lattice (GCML) models are useful to understand the behaviours and patterns found in complex systems having large degrees of freedom. I will discuss a specific GCML having two populations of identical sine circle maps and explain the nature of the splay phase state and the chimera state, both of which have practical significance in the context of coupled oscillator systems. I will show that pure splay states are temporally chaotic and transform to a splay-chimera states with the change of parameters. Chimera states having spatiotemporally intermittent (STI) structures are found in this system evolving from random initial conditions. I will discuss the linear stability analysis to find the Lyapunov spectrum in order to show the hyperchaotic nature of the dynamics of chimeras. Their numerically estimated basin stability shows the multistable nature of the model. Further inferences regarding the STI structures will be obtained via the construction of an equivalent cellular automaton of the GCML. |