From Bifurcations to Chua's Periodic Table

摘要

We describe and discuss the similarites in two different kinds of physical systems: Chua's circuit (and. broadly speaking, chaotic, systems) and atoms in the Periodic Table. We analyze the regularities arising from the chaotic nature of the former against the regularities iu the energy spectra of the second. We show the existing analogies among the Bohr's law and the bifureation diagram building a map connecting each energy level in atoms to each point in the bifurcation diagram iu the parameter space. We found a general rule valid for many element, of the Periodie Table by calculating the two-dimensional bifurcation diagram versus Bohr's law. The result is a one-to-one correspondence between atoms and nonlinear Chua's circuits. Finally we discuss possible implications of the model when applied to more complicated systems like molecules or atomic clusters.