Title

Numerical Methods For Bifurcation With Special Reference To Hopf Bifurcation

Date of Award

1986

Availability

Article

Degree Name

Doctor of Arts (D.A.)

Department

Mathematics

Abstract

This thesis is primarily concerned with numerical methods for bifurcation analysis in real Banach spaces. An iteration scheme is obtained which is similar to ones obtained by W. F. Langford and H. Weber. We have proved the uniqueness of solutions. We have also considered systems of ordinary differential equations and proved a version of the Hopf Bifurcation theorem. Some examples with numerical computations are furnished.The main tool of investigation was the implicit function theorem.

Keywords

Mathematics

Link to Full Text

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