Dynamics of A Re-Parametrization of A 2-Dimensional Mapping Derived from Double Discrete Sine-Gordon Mapping | Zendy

La Zakaria | Zendy; Johan Matheus Tuwankotta | Zendy

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Dynamics of A Re-Parametrization of A 2-Dimensional Mapping Derived from Double Discrete Sine-Gordon Mapping

Author(s) -

La Zakaria,

Johan Matheus 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.

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