完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.author | Li, Ming-Chia | en_US |
dc.contributor.author | Lyu, Ming-Jiea | en_US |
dc.date.accessioned | 2016-03-28T00:04:17Z | - |
dc.date.available | 2016-03-28T00:04:17Z | - |
dc.date.issued | 2016-01-02 | en_US |
dc.identifier.issn | 1468-9367 | en_US |
dc.identifier.uri | http://dx.doi.org/10.1080/14689367.2015.1020286 | en_US |
dc.identifier.uri | http://hdl.handle.net/11536/129498 | - |
dc.description.abstract | In this paper, we study stability of non-autonomous discrete dynamical systems. For a two-sided non-autonomous systems with covering relations determined by a transition matrix A, we show that any small C-0 perturbed system has a sequence of compact invariant sets restricted to which the system is topologically semi-conjugate to sigma(A), the two-sided subshift of finite type induced by A. Together with Lyapunov condition of good rate, the semi-conjugacy will become conjugacy. Moreover, if the Lyapunov condition is strict and has perfect rate, then any small C-1 perturbed systems is topological conjugate to sigma(A). We also study topological chaos of one-sided systems and systems with limit functions. Lack of hyperbolicity and the time dependence of the rate prevent us from applying classical hyperbolic results or earlier works for autonomous systems: cone condition and Lyapunov function. Two examples are provided to demonstrate the existence of a non-trivial, non-hyperbolic invariant and essential of controlling rate. | en_US |
dc.language.iso | en_US | en_US |
dc.subject | non-autonomous systems | en_US |
dc.subject | topological conjugacy | en_US |
dc.subject | covering relations | en_US |
dc.subject | Lyapunov condition | en_US |
dc.subject | stability | en_US |
dc.title | Covering relations and Lyapunov condition for topological conjugacy | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1080/14689367.2015.1020286 | en_US |
dc.identifier.journal | DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | en_US |
dc.citation.volume | 31 | en_US |
dc.citation.spage | 60 | en_US |
dc.citation.epage | 78 | en_US |
dc.contributor.department | 應用數學系 | zh_TW |
dc.contributor.department | Department of Applied Mathematics | en_US |
dc.identifier.wosnumber | WOS:000366685600003 | en_US |
dc.citation.woscount | 0 | en_US |
顯示於類別: | 期刊論文 |