Pendulum limit, chaos and phase-locking in the dynamics of ac-driven semiconductor superlattices

نویسندگان

  • Kirill N. Alekseev
  • Feodor V. Kusmartsev
چکیده

We describe a limiting case when nonlinear dynamics of an ac-driven semiconductor superlattice in the miniband transport regime is governed by a periodically forced and damped pendulum. We find analytically the conditions for a transition to chaos, as well as the conditions for absence of chaosat any amplitude of ac drive. We also discuss fractional dc voltage states in a superlattice originating from phase-locked states of the pendulum. PACS: 73.21.Cd; 72.20.Ht; 05.45.-a; 05.45.Ac; 72.30.+q

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تاریخ انتشار 2002