| contributor author | M. Moh’d | |
| contributor author | K. Huseyin | |
| date accessioned | 2017-05-09T00:01:31Z | |
| date available | 2017-05-09T00:01:31Z | |
| date copyright | January, 1999 | |
| date issued | 1999 | |
| identifier issn | 1048-9002 | |
| identifier other | JVACEK-28846#101_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/123154 | |
| description abstract | 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. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On the Analysis of Hopf Bifurcation Associated with a Two-Fold Zero Eigenvalue, Part 1: Autonomous System | |
| type | Journal Paper | |
| journal volume | 121 | |
| journal issue | 1 | |
| journal title | Journal of Vibration and Acoustics | |
| identifier doi | 10.1115/1.2893934 | |
| journal fristpage | 101 | |
| journal lastpage | 104 | |
| identifier eissn | 1528-8927 | |
| keywords | Bifurcation | |
| keywords | Eigenvalues | |
| keywords | Approximation | |
| keywords | Motion | |
| keywords | Cycles AND Formulas | |
| tree | Journal of Vibration and Acoustics:;1999:;volume( 121 ):;issue: 001 | |
| contenttype | Fulltext | |