The behaviour of standard map's discrete model

Rosli, Muhammad A'dli and Wan Rozali, Wan Nur Fairuz Alwani (2022) The behaviour of standard map's discrete model. In: Final Year Project 2021/2022 Seminar Proceedings, IIUM Kuantan.

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Abstract

Many researchers have done the research about Chrikov-Taylor standard map. However, the studies that they did were in cylinder phase space. Not many people do research of this map in discrete space which we will use this space in our research. Our study focuses on the discrete model to investigate how the discrete points behave. Our objectives of this research are to reduce the 2-dimensional discrete standard map into 1-dimensional map and to investigate the behaviour of the discrete points of the discrete model. We use the Poincaré surface of section to reduce the 2-dimensional of discrete map to 1-dimensional map. The positive X-axis will be our Poincaré surface of section which will be used to investigate in deep of the points on that axis. We classify our map into 2 cases which are case 2 \beta > \alpha and case 2 \beta > \alpha. Finally, we found that the map is interval-exchange transformation.

Item Type:	Conference or Workshop Item (Poster)
Subjects:	A General Works > AC Collections. Series. Collected works Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences Kulliyyah of Science
Depositing User:	Dr Wan Nur Fairuz Alwani Binti Wan Rozali
Date Deposited:	28 Feb 2023 14:19
Last Modified:	28 Feb 2023 14:19
URI:	http://irep.iium.edu.my/id/eprint/103806

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