DYNAMICS ON AN INVARIANT SET OF A TWO-DIMENSIONAL AREA-PRESERVING PIECEWISE LINEAR MAP | Zendy

Dong-Gyu Lee | Zendy; Dongjin Lee | Zendy; Hyunje Choi | Zendy; Sungbae Jo | Zendy

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DYNAMICS ON AN INVARIANT SET OF A TWO-DIMENSIONAL AREA-PRESERVING PIECEWISE LINEAR MAP

Author(s) -

Dong-Gyu Lee,

Dongjin Lee,

Hyunje Choi,

Sungbae Jo

Publication year - 2014

Publication title -

east asian mathematical journal

Language(s) - English

Resource type - Journals

eISSN - 2287-2833

pISSN - 1226-6973

DOI - 10.7858/eamj.2014.038

Subject(s) - mathematics , invariant (physics) , piecewise linear function , piecewise , piecewise linear manifold , set (abstract data type) , pure mathematics , mathematical analysis , computer science , mathematical physics , programming language

In this paper, we study an area-preserving piecewise linear map with the feature of dangerous border collision bifurcations. On the invariant set of the system, KAM-type structures, which is a typical characteristic of an area preserving map, is investigated. Specially, we show that certain KAM-curves on the invariant set are non smooth curves.

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