Transition between multimode oscillations in a loaded hair bundle

doi:10.1063/1.5109752

CORC > 兰州理工大学 > 兰州理工大学

	Transition between multimode oscillations in a loaded hair bundle
	Wu, Fuqiang 1,2; Wang, Runxia 1
刊名	CHAOS
	2019-08
卷号	29 期号:8
ISSN号	1054-1500
DOI	10.1063/1.5109752
英文摘要	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.
资助项目	National Natural Science Foundation of China (NNSFC)[11765011]
WOS研究方向	Mathematics ; Physics
语种	英语
出版者	AMER INST PHYSICS
WOS记录号	WOS:000489227100026
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/31680]
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, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Wu, Fuqiang,Wang, Runxia. Transition between multimode oscillations in a loaded hair bundle[J]. CHAOS,2019,29(8).
APA	Wu, Fuqiang,&Wang, Runxia.(2019).Transition between multimode oscillations in a loaded hair bundle.CHAOS,29(8).
MLA	Wu, Fuqiang,et al."Transition between multimode oscillations in a loaded hair bundle".CHAOS 29.8(2019).