IR
Transition between multimode oscillations in a loaded hair bundle (Retraction of Vol 29, art no 083135, 2019)
Wu, Fuqiang1,2; Wang, Runxia1
2020-04
发表期刊CHAOS
ISSN1054-1500
卷号30期号:4
摘要In this paper, we study the dynamics of an autonomous system for a hair bundle subject to mechanical load. We demonstrated the spontaneous oscillations that arise owing to interactions between the linear stiffness and the adapting stiffness. It is found that by varying the linear stiffness, the system can induce a weakly chaotic attractor in a certain region where the stable periodic orbit is infinitely close to a parabolic curve composed of unstable equilibrium points. By altering the adapting stiffness associated with the calcium concentration, the system is able to trigger the transition from the bistable resting state, through a pair of symmetric Hopf bifurcation, into the bistable limit cycle, even to the chaotic attractor. At a negative adapting stiffness, the system exhibits a double-scroll chaotic attractor. According to the method of qualitative theory of fast-slow decomposition, the trajectory of a double-scroll chaotic attractor in the whole system depends upon the symmetric fold/fold bifurcation in a fast system. Furthermore, the control of the adapting stiffness in the improved system with two slow variables can trigger a new transition from the bistable resting state into the chaotic attractor, even to the hyperchaotic attractor by observing the Lyapunov exponent. Published under license by AIP Publishing.
DOI10.1063/5.0008545
收录类别SCI ; SCIE
语种英语
WOS研究方向Mathematics ; Physics
WOS类目Mathematics, Applied ; Physics, Mathematical
WOS记录号WOS:000529178600001
出版者AMER INST PHYSICS
引用统计
被引频次[WOS]:0   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符https://ir.lut.edu.cn/handle/2XXMBERH/76596
专题兰州理工大学
通讯作者Wu, Fuqiang
作者单位1.Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China
2.Lanzhou Univ Technol, Dept Phys, Lanzhou 730050, Peoples R China
第一作者单位理学院
通讯作者单位理学院
推荐引用方式
GB/T 7714
Wu, Fuqiang,Wang, Runxia. Transition between multimode oscillations in a loaded hair bundle (Retraction of Vol 29, art no 083135, 2019)[J]. CHAOS,2020,30(4).
APA Wu, Fuqiang,&Wang, Runxia.(2020).Transition between multimode oscillations in a loaded hair bundle (Retraction of Vol 29, art no 083135, 2019).CHAOS,30(4).
MLA Wu, Fuqiang,et al."Transition between multimode oscillations in a loaded hair bundle (Retraction of Vol 29, art no 083135, 2019)".CHAOS 30.4(2020).
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