Open AccessDynamics of A Re-Parametrization of A 2-Dimensional Mapping Derived from Double Discrete Sine-Gordon Mapping
Author(s) -
La Zakaria,
J.M. Tuwankotta
Publication year - 2020
Publication title -
international journal of mathematical, engineering and management sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 10
ISSN - 2455-7749
DOI - 10.33889/ijmems.2020.5.2.030
Subject(s) - parametrization (atmospheric modeling) , infinity , sine , set (abstract data type) , stability (learning theory) , mathematics , point (geometry) , dynamics (music) , mathematical analysis , computer science , geometry , physics , quantum mechanics , machine learning , acoustics , programming language , radiative transfer
We study the dynamics of a two dimensional map which is derived from another two dimensional map by re-parametrizing the parameter in the system. It is shown that some of the properties of the original map can be preserved by the choice of the re-parametrization. By means of performing stability analysis to the critical points, and also studying the level set of the integrals, we study the dynamics of the re-parametrized map. Furthermore, we present preliminary results on the existence of a set where iteration starts at a point in that set, in which it will go off to infinity after finite step.