@Article{JNMA-5-4,
author = {Muhammad, Marwan and Zainul, Muhammad, Abidin},
title = {On the Analytical Approach of Codimension-Three Degenerate Bogdanov-Takens (B-T) Bifurcation in Satellite Dynamical System},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2023},
volume = {5},
number = {4},
pages = {667--681},
abstract = {<p style="text-align: justify;">In this paper, we have conducted parametric analysis on the dynamics of satellite complex system using bifurcation theory. At first, five
equilibrium points $\varepsilon_{0,1,2,3,4}$ are symbolically computed in which $\varepsilon_{1,3}$ and $\varepsilon_{2,4}$ are symmetric. Then, several theorems are stated and proved for the existence
of B-T bifurcation on all equilibrium points with the aid of generalized eigenvectors and practical formulae instead of linearizations. Moreover, a special
case $α_2 = 0$ is observed, which confirms all the discussed cases belong to a
codimension-three bifurcation along with degeneracy conditions.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2023.667},
url = {https://global-sci.com/article/87894/on-the-analytical-approach-of-codimension-three-degenerate-bogdanov-takens-b-t-bifurcation-in-satellite-dynamical-system}
}