Nonlinear theory of plasma oscillations in a semiconductor with superlattice

Tetervov, A.P.

doi:10.1007/bf01040098

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2005

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“…Note that in some cases pendulum-like equation of the third order [32,33] and a pendulum equation with a nonlinear damping term supporting symmetry of the problem [34] naturally arise in different models of semiconductor superlattices. We speculate that swinging symmetry broken oscillations in these superlattice models also correspond to a spontaneous generation of dc voltage or dc current.…”

Section: Discussionmentioning

confidence: 99%

Symmetry breaking in a driven and strongly damped pendulum

et al. 2005

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We examine the conditions for appearance of symmetry breaking bifurcation in damped and periodically driven pendulum in the case of strong damping. We show that symmetry breaking, unlike other nonlinear phenomena, can exist at high dissipation. We prove that symmetry breaking phases exist between phases of symmetric normal and symmetric inverted oscillations. We find that symmetry broken solutions occupy a sufficiently smaller region of pendulum's parameter space in comparison to the statements made in earlier considerations [McDonald and Plischke, Phys. Rev. B 27 (1983) 201]. Our research on symmetry breaking in a strongly damped pendulum is relevant to an understanding of phenomena of dynamic symmetry breaking and rectification in a pure ac driven semiconductor superlattices.

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Section: Discussionmentioning

confidence: 99%