Distinct phenomenon on chaos synchrony: Chirality.

Among others, chirality is a property of organometallic molecules whose main feature is that the spatial superposition is exclusively observed through a specular plane. A specular plane is a physical kind of subspace onto which chiral objects can already be superposed. That is, chirality corresponds to a specular plane for the superposition principle; i.e., a mirrorlike operation. The chirality was a collateral finding; meanwhile, the different order synchronization was analyzed. Such a fact motivated us to revisit the problem to investigate the conditions on which the chirality phenomenon emerges during the chaos synchrony. This contribution is not one more contraption to the chaos synchronization, but the search of veiled phenomenon in synchronized chaotic systems. Thus, we show that chirality in chaos synchrony can be derived via nonlinear functions derived from the group transformations, which span algebraic subspaces. Specifically, the Lie algebraic subspaces allow us to unveil the chirality on the chaos synchrony throughout a continuously differentiable maps. The master-salve configuration is realized for chaotic continuous systems to document that chirality is a completely different phenomenon in chaos synchrony.