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. 2017 Jan 11;7:40198. doi: 10.1038/srep40198

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Copyright © 2017, The Author(s)

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(a) Energies required to control a unidirectional chain E_uni (purple circles) and a bidirectional one E_bi (green squares) versus chain length L. (b), (c) and (d) Control energies of bidirectional chain calculated by simulation (red squares), (azure triangles), and chain length L as shown in Eq. (12) (navy crosses) for different values of the control time t_f = 0.3, 0.5, 1, respectively.

Inline graphic — (a) Energies required to control a unidirectional chain E_uni (purple circles) and a bidirectional one E_bi (green squares) versus chain length L. (b), (c) and (d) Control energies of bidirectional chain calculated by simulation (red squares), (azure triangles), and chain length L as shown in Eq. (12) (navy crosses) for different values of the control time t_f = 0.3, 0.5, 1, respectively.