Numerical Methods For Bifurcation With Special Reference To Hopf Bifurcation
Date of Award
Doctor of Arts (D.A.)
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.
Ali, Nasreen Kausar, "Numerical Methods For Bifurcation With Special Reference To Hopf Bifurcation" (1986). Dissertations from ProQuest. 1594.