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机械式混沌同步系统动力学特性研究
引用本文:刘树勇,杨爱波,杨庆超,吴海平.机械式混沌同步系统动力学特性研究[J].华中科技大学学报(自然科学版),2012,40(8):108-111.
作者姓名:刘树勇  杨爱波  杨庆超  吴海平
作者单位:海军工程大学船舶与动力学院,湖北武汉,430033
基金项目:国家自然科学基金资助项目,上海交通大学海洋工程国家重点实验室开放课题资助项目
摘    要:针对如何可靠地产生小振幅混沌这一难题,提出了一种机械式混沌同步的新方法.在理论建模的基础上,进行了动力学特性分析,得到了系统的分岔图,观察到了在不同参数下的响应.当参数处于一定范围时,系统会出现混沌行为,特别是支点的位置发生改变时,将诱导子系统产生小幅值混沌振动.结果表明:该同步方法简单易行,可靠且无时延;当杠杆与2个子系统连接处改用弹簧而不是刚性杆时,系统的动力学行为会更加复杂.

关 键 词:机械式混沌  相空间  混沌同步  非线性响应  混沌动力学

Dynamic characteristics of mechanical chaos synchronization systems
Liu Shuyong Yang Aibo Yang Qingchao Wu Haiping.Dynamic characteristics of mechanical chaos synchronization systems[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2012,40(8):108-111.
Authors:Liu Shuyong Yang Aibo Yang Qingchao Wu Haiping
Institution:Liu Shuyong Yang Aibo Yang Qingchao Wu Haiping(College of Naval Architecture and Power,Naval University of Engineering,Wuhan 430033,China)
Abstract:How to produce a small amplitude chaos reliably is a very difficult problem.Thus,a mechanical chaos synchronization system was presented.The dynamical characteristic was studied in detail on the basis of mathematic model.The system bifurcation diagram was obtained,and the responses at different parameters were observed clearly.When parameters change in some range,the system will be induced to chaotic state.Especially small amplitude chaos in the subsystem will be occurred with the changes of the supporting point lactation.Simulation results show that the proposed method is simple,easy in operation,reliable and no time-delay,and the dynamic behaviors of the system would be more complex when springs are used between pry and subsystem instead of rigid rods.
Keywords:mechanical chaos  state space  chaos synchronization  nonlinear response  chaos dynamics
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