CAJ | 학술논문

由于伪轨跟踪性质不仅与系统的稳定性有关,而且与系统的混沌性状也密切相关,因此它在动力系统理论的研究中起着重要的作用.作为伪轨跟踪性质的推广,Eirola等、Blank和作者分别引进"极限跟踪性质"、"平均跟踪性质"和"渐近平均跟踪性质"概念.论文就具有不同跟踪性质的系统以及系统的混沌性态的研究进展给出一个简要综述.
유우위궤근종성질불부여계통적은정성유관,이차여계통적혼돈성상야밀절상관,인차타재동력계통이론적연구중기착중요적작용.작위위궤근종성질적추엄,Eirola등、Blank화작자분별인진"겁한근종성질"、"평균근종성질"화"점근평균근종성질"개념.논문취구유불동근종성질적계통이급계통적혼돈성태적연구진전급출일개간요종술.
The pseudo orbit tracing property(POTP) plays an important role in the investigation of dynamical systems, because it is not only closely related to the stability but also to the chaoticity. As generalization of this shadowing property, Eirola et al., Blank and the author introduced the limit shadowing property(LmSP), the average-shadowing property(ASP) and the asymptotical average-shadowing property(AASP), respectively. In the present paper, we give a summarization on researches of chaoticities of systems with various shadowing properties.