Discontinuous bifurcation and coexistence of attractors in a piecewise linear map with a gap

• 来源期刊: 中国物理B(英文版)
• 关键词: coexistence of attractors piecewise linear map mapping hole discontinuous bifurcation
• 年，卷（期）: 2008,（12）
• 页码范围: 4418-4423
• 页数: 6页
• 语种: 英文

摘要

Coexistence of attractors with striking characteristics is observed in this work, where a stable period-5 attractor coexists successively with chaotic band-ll, period-6, chaotic band-12 and band-6 attractors. They are induced by different mechanisms due to the interaction between the discontinuity and the non-invertibility. A characteristic boundary collision bifurcation, is observed. The critical conditions are obtained both analytically and numerically.