Isohätälä Jukka, Alekseev Kirill N, Kurki Lauri T, Pietiläinen Pekka
Department of Physical Sciences, P. O. Box 3000, University of Oulu FIN-90014, Finland.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jun;71(6 Pt 2):066206. doi: 10.1103/PhysRevE.71.066206. Epub 2005 Jun 15.
We examine the conditions for appearance of a symmetry breaking bifurcation in damped and periodically driven pendulums 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 smaller region of the pendulum's parameter space in comparison to the statements made in earlier considerations [McDonald and Plischke, Phys. Rev. B 27, 201 (1983)]. Our research on symmetry breaking in a strongly damped pendulum is relevant to an understanding of the phenomena of dynamic symmetry breaking and rectification in pure ac driven semiconductor superlattices.
我们研究了在强阻尼情况下，受周期性驱动的阻尼摆中出现对称破缺分岔的条件。我们表明，与其他非线性现象不同，对称破缺可以在高耗散情况下存在。我们证明，在对称正常振荡和对称倒立振荡阶段之间存在对称破缺阶段。我们发现，与早期研究[麦克唐纳和普利施克，《物理评论B》27，201（1983）]中的说法相比，对称破缺解在摆的参数空间中占据的区域更小。我们对强阻尼摆中对称破缺的研究，有助于理解纯交流驱动半导体超晶格中的动态对称破缺和整流现象。
