Mapping atoms to nonlinear Chua´s circuits

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 circuit´s 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 one to calculate spectroscopy levels starting from the bifurcation analysis or, vice-versa, bifurcation values from the knowledge of atomic energy levels.