Discontinuous bifurcation and coexistence of attractors in a piecewise linear map with a gap
Qu Shi-Xian (屈世显)a, Lu Yong-Zhi(卢永智)b, Zhang Lin (张林)b, He Da-Ren (何大韧)b
aInstitute of Theoretical & Computational Physics, School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China; bCollege of Physics Science and Technology, Yangzhou University, Yangzhou 225002, China
Abstract Coexistence of attractors with striking characteristics is observed in this work, where a stable period-5 attractor coexists successively with chaotic band-11, 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.
Received: 18 March 2008
Revised: 26 March 2008
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10275053).
Cite this article:
Qu Shi-Xian (屈世显), Lu Yong-Zhi(卢永智), Zhang Lin (张林), He Da-Ren (何大韧) Discontinuous bifurcation and coexistence of attractors in a piecewise linear map with a gap 2008 Chin. Phys. B 17 4418
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