Mapping atoms to nonlinear Chua's circuits

We built a map relating single atoms in the Periodic Table and different nonlinear Chua's circuits. We show that is possible to connect energy levels in atoms, (as calculated by the simple quantization Bohr's rules), with certain special values of the circuits resistors. These values are the ones at which the system undergoes a bifurcation, characterizing the period-doubling sequence leading to the chaotic state. We found a quite universal relationship relating atoms to electronic nonlinear circuits that allows to calculate spectroscopy levels starting from the bifurcation analysis or, vice-versa, bifurcation values from the knowledge of atomic energy levels.