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On stability of forcing relations for multidimensional perturbations of interval maps

dc.citation.epage251en_US
dc.citation.spage241en_US
dc.citation.volume206en_US
dc.contributor.authorLi, Ming-Chiaen_US
dc.contributor.authorZgliczynski, Piotren_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.date.accessioned2014-12-08T15:22:43Z
dc.date.available2014-12-08T15:22:43Z
dc.date.issued2009en_US
dc.description.abstractWe show that all periods of periodic points forced by a pattern for interval maps are preserved for high-dimensional maps if the multidimensional perturbation is small. We also show that if an interval map has a fixed point associated with a homoclinic-like orbit then any small multidimensional perturbation has periodic points of all periods.en_US
dc.identifier.doi10.4064/fm206-1-13en_US
dc.identifier.issn0016-2736en_US
dc.identifier.journalFUNDAMENTA MATHEMATICAEen_US
dc.identifier.urihttp://dx.doi.org/10.4064/fm206-1-13en_US
dc.identifier.urihttps://ir.lib.nycu.edu.tw/handle/11536/16038
dc.identifier.wosnumberWOS:000275725700014
dc.language.isoen_USen_US
dc.subjectforcing relationsen_US
dc.subjectmultidimensional perturbationen_US
dc.subjectpatternsen_US
dc.subjectcovering relationsen_US
dc.titleOn stability of forcing relations for multidimensional perturbations of interval mapsen_US
dc.typeArticle; Proceedings Paperen_US

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