Dynamical chaos and spontaneous symmetry breaking in anharmonic systems excited by a periodic external force
Kalafati Yu. D., Malakhov B. A.
It is shown that in anharmonic systems having a symmetric potential under excitation by a periodic force, a necessary condition for dynamical chaos to arise through period doubling is the spontaneous breaking of symmetry. The nature of the low-frequency peak, which appears in the Fourier spectrum at the onset of dynamical chaos, is discussed.