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Figure 2

From: Topological transitions in an oscillatory driven liquid crystal cell

Figure 2

Bifurcation diagram of topological transition out of equilibrium (a) experimental and (b) numerical using model Eq. (1). The experimental bifurcation diagram is obtained with a sawtooth forcing with a fixed amplitude voltage 15 Vpp. The insets (a) correspond to snapshots obtained in the respective voltage frequency using the crossed polarisers. The insets (b) correspond to the polarisation field \(\psi =Re(A)Im(A)\) obtained numerically from Eq. (1) at the respective frequency. (c) Critical frequency \(f_c(T)\) as a function of temperature with a fixed amplitude voltage 15 Vpp. The insets account for the respective snapshots in the different temperatures. (d) Evolution of the temporal bifurcation parameter \(\mu (t)\) and characterisation of the regimes of creation (red curve) and interaction (blue curve) of vortices. Insets show the amplitude phase \(\arctan [Im(A)/Re(A)]\) obtained numerically in the different creation and interaction regimes. From experimental snapshots, both figures were created using Inkscape 1.0.

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