Abstract
The structures of the ground state of a discrete model of two interacting helical chains are investigated by the discrete mapping method. When non-interacting chains have different spatial periods, the ground state structure of the model depends on the value of the interaction constant γ. We show the existence of a critical value γ c at which the chains form a common helix. Regular soliton structure is realized for γ⪡ γ c as a ground state. For γ→ γ c the system ground state passes through a sequence of transitions of incomplete devil's staircase type. Metastable chaotic structures are shown to exist.
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