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

Kirill N. Alekseev; Feodor V. Kusmartsev

doi:10.1016/s0375-9601(02)01420-2

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

Kirill N. Alekseev·Feodor V. Kusmartsev

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Abstract

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 and consider an influence of temperature on the effect. We also discuss fractional dc voltage states in a superlattice originating from phase-locked states of the pendulum.

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Kirill N. Alekseev, Feodor V. Kusmartsev. 2002-09-19. Pendulum limit, chaos and phase-locking in the dynamics of ac-driven semiconductor superlattices. https://doi.org/10.1016/s0375-9601(02)01420-2

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