Warp of the Invariant Circle and Onset of Chaos in Josephson Junction Equation

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2007,（7）
• 页码范围: 1845-1848
• 页数: 4页
• 语种: 英文

摘要

The dynamics of the dc and ac driving Josephson junction equation is studied in terms of the tvo-dimensional Poincaré map. The smooth invariant circle on the phase cylinder in over-damped case α ＞ 2 loses smoothness as α decreases and becomes a strange attractor eventually. This triggers two kinds of chaos, one occurs in the regions between two Arnold tongues and the other occurs within the tongues.