On the Analysis of Hopf Bifurcation associated with a Two-Fold Zero Eigenvalue, part 2: Non-autonomous System
- Publication Type
- Original research
- Authors
- M. MOH’D,
- K. HUSEYIN.
The static and dynamic bifurcations of an autonomous system associated with a twofold zero eigenvalue (of index one) are studied. Attention is focused on Hopf bifurcation solutions in the neighborhood of such a singularity. The family of limit cycles are analyzed fully by applying the formula type results of the Intrinsic Harmonic Balancing method. Thus, parameter-amplitude and amplitude-frequency relationships as well as an ordered form of approximations for the periodic motions are obtained explicitly. A verification technique, with the aid of MAPLE, is used to show the consistency of ordered approximations.
Journal
- Title
- Journal of Vibration and Acoustics (American Association of Mechanical Engineering
- Publisher
- --
- Publisher Country
- Palestine
- Publication Type
- Both (Printed and Online)
- Volume
- --
- Year
- 1999
- Pages
- --