Hopf Bifurcation Analysis in a Class of Scalar Functional Differential Equations

In this paper, we establish an elementary means of analyzing the Hopf bifurcation problem for n^th-order, scalar functional differential equations of the form (1.1) x ( n ) + L n − 1 ( x t ( n − 1 ) ) + L n − 2 ( x t ( n − 2 ) ) + … + L 1 ( x t ( 1 ) ) + L 0 ( x t )                                                                             = H ( x t , x t ( 1 ) , … , x t ( n − 1 ) ) , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072683/4382fcd0-4153-46e7-888a-e0b6b9eb509e/content/eq980.tif"/>