Symmetry breaking in driven and strongly damped pendulum

Details Symmetry breaking in driven and strongly damped pendulum Symmetry breaking in driven and strongly damped pendulum

2004-09-22

arxiv.org/abs/cond-mat/0409572v1

Phys. Rev. E, 066206 (2005)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 4 color figures, RevTeX4

Scientific paper

10.1103/PhysRevE.71.066206

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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