弱的参数周期扰动对一非线性系统安全域的影响与分形侵蚀安全域的控制

讨论了弱参数周期扰动对于非线性系统安全域的影响,在一定频率下的参数周期扰动将加速安全域的分形侵蚀,而在另一些频率的扰动下,将抑制安全域的分形侵蚀,并且存在着增进安全域的最优频率.提出了用弱参数周期扰动控制受到分形侵蚀的安全域的方法,并用Melnikov方法进行了分析.最后讨论了这种控制安全域的方法在实际环境中当具有外加噪声时的鲁棒性. 关键词： 分形吸引域边界 参数的周期扰动 控制     

ON THE MULTIPLE-ATTRACTOR COEXSTING SYSTEM WITH PARAMETER UNCERTAINTIES USING GENERALIZED CELL MAPPING METHOD

I.IntroductionOneofthedolllinalltchaructcristicsofNon-lillcarsystemsistheboc-uniquenessoftherespollsef(7ragivensystemptlrallleter.Eacllsic'ldystiltcisallattrilctoj'baviilgitsownwalkinOf':lttrilCt1OllillpllaSCSpttCC.Allattl'tCtL)1'1flaybaflXCdl,Oillt,b1flitCyCIC,1llVIlriilllttol-uS,strtlbgeatti'ilctor.1b13riictlcLllifpl7llcatit)ns,oillyollcoj'theseb1uIti13Icattrilt')1-sisof'illtorestLllldcol'rcsl,olldstotilesalt,of>cl'iltlollilll'cglL)IIof'tilesystcllls,ifbdtileolll(:rstireustlilll…     

Implementation of a novel two-attractor grid multi-scroll chaotic system

This paper proposed a method of generating two attractors in a novel grid multi-scroll chaotic system.Based on a newly generated three-dimensional system,a two-attractor grid multi-scroll attractor system can be generated by adding two triangular waves and a sign function.Some basic dynamical properties,such as equilibrium points,bifurcations,and phase diagrams,were studied.Furthermore,the system was experimentally confirmed by an electronic circuit.The circuit simulation results and numerical simulation results verified the feasibility of this method.     

Implementation of a multi-scroll novel two-attractor grid chaotic system

This paper proposed a method of generating two attractors in a novel grid multi-scroll chaotic system. Based on a newly generated three-dimensional system, a two-attractor grid multi-scroll attractor system can be generated by adding two triangular waves and a sign function. Some basic dynamical properties, such as equilibrium points, bifurcations, and phase diagrams, were studied. Furthermore, the system was experimentally confirmed by an electronic circuit. The circuit simulation results and numerical simulation results verified the feasibility of this method.     

On the multiple-attractor coexsting system with parameter uncertainties using generalized cell mapping method

In this paper the generalized cell mapping (GCM) method is used to study multiple-attractor coexisting system with parameter uncertainties. The effects that the uncertain parameters has on the global properties of the system are presented. And It is obtained that the attractor with much smaller value of protect thickness, will disappear firstly with the degree of the uncertainty of parameter increasing. Project supported by the National Natural Science Foundation of China (19672046)     

用广义胞映射研究参数不确定的多吸引子共存系统*

本文运用广义胞映射对具有参数不确定的多吸引子共存系统进行了分析,指出了参数不确定性对多吸引子共存系统全局特性的影响.并进一步得到可以通过各个吸引子的保护层厚度大小的比较,来判断随着不确定程度的增加,哪一个吸引子将要首先消失.