| contributor author | P. R. Sethna | |
| contributor author | A. K. Bajaj | |
| date accessioned | 2017-05-08T23:04:03Z | |
| date available | 2017-05-08T23:04:03Z | |
| date copyright | December, 1978 | |
| date issued | 1978 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26103#895_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/90594 | |
| description abstract | Dynamical systems with quadratic nonlinearities and exhibiting internal resonance under periodic excitations are studied. Two types of transition from stable to unstable motions are shown to occur. One kind are shown to be associated with jump phenomena while the other kind are shown to be associated with Hopf bifurcations of the averaged system of equations. In the case of the latter, the motions are shown to be amplitude modulated motions at the excitation frequency with the amplitude of modulation determined by the motion of a point on a torus. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Bifurcations in Dynamical Systems With Internal Resonance | |
| type | Journal Paper | |
| journal volume | 45 | |
| journal issue | 4 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3424438 | |
| journal fristpage | 895 | |
| journal lastpage | 902 | |
| identifier eissn | 1528-9036 | |
| keywords | Resonance | |
| keywords | Dynamic systems | |
| keywords | Bifurcation | |
| keywords | Motion AND Equations | |
| tree | Journal of Applied Mechanics:;1978:;volume( 045 ):;issue: 004 | |
| contenttype | Fulltext | |