Bifurcation of Function in Four Dimensions With Eight Parameters Based on Lyapunov-Schmidt Reduction

Authors

  • Zainab S. Madhi Department of Mathematics, College of Sciences, University of Basrah, Basrah
  • Mudhir A. Abdul Hussain Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah

DOI:

https://doi.org/10.26713/cma.v12i3.1571

Keywords:

Classification of critical points, Caustic set and Lyapunov-Schmidt method

Abstract

In this paper, we investigate the bifurcation-spreading of critical points for a certain smooth function with eight parameters which have codimension 80. In addition, we found five plots of caustic (bifurcation set) corresponding different cases of parameters. Finally, using the method of alternative problems (Lyapunov-Schmidt method) we obtained the bifurcation solution for the equation of sixth order with boundary conditions as applicable.

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Published

30-09-2021
CITATION

How to Cite

Madhi, Z. S., & Hussain, M. A. A. (2021). Bifurcation of Function in Four Dimensions With Eight Parameters Based on Lyapunov-Schmidt Reduction. Communications in Mathematics and Applications, 12(3), 603–617. https://doi.org/10.26713/cma.v12i3.1571

Issue

Vol. 12 No. 3 (2021)

Section

Research Article

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