๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Harmonic balance in delay-differential equations

โœ Scribed by N. MacDonald

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
341 KB
Volume
186
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

โœฆ Synopsis

The harmonic balance technique at first and second order is applied to three retarded delay-differential equations, comparing the results when possible with analytical results. For a first order equation with a fixed delay in linear and cubic terms, the first and second order harmonic balance solutions are compared with an expansion of Pinney (near a bifurcation point in the coefficient of the linear term) and with an exact solution of Dormayer. Another first order equation with a delayed cubic term is studied, for which there is a bifurcation as the delay increases, and a second order equation with a linear delayed term. Also the first order harmonic balance and a perturbation result for the sunflower equation are compared.

๐Ÿ“œ SIMILAR VOLUMES

Bifurcation delay in a delay differentia
Bifurcation delay in a delay differential equation
โœ R. Miyazaki; K. Tchizawa ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 117 KB

Consider the Dynamic Hopf Bifurcation in delay differential equations where bu(t) is a time delayed feedback control term, b represents the accessible elements, k (k T means a transpose of k) is the control amplitude and is a delayed time. In fact, we will show that a delay in the bifurcation can b