Before revision:  It is shown that a chaotic (deterministic) order, rather than a stochastic randomness, controls the energy minima positions of the staking interactions in the DNA sequences . The Kaplan-Yorke map and the Arabidopsis genome have been considered as relevant simple examples. The chaotic order results in a large-scale chaotic coherence between the two complimentary DNA-duplex's sequences.
After revision:  It is shown that a chaotic (deterministic) order, rather than a stochastic randomness, controls the energy minima positions of the staking interactions in the DNA sequences on large scales. The chaotic order results in a large-scale chaotic coherence between the two complimentary DNA-duplex's sequences.