contributor author | Yin, Shan | |
contributor author | Ji, Jinchen | |
contributor author | Deng, Shuning | |
contributor author | Wen, Guilin | |
date accessioned | 2019-02-28T11:12:13Z | |
date available | 2019-02-28T11:12:13Z | |
date copyright | 9/12/2018 12:00:00 AM | |
date issued | 2018 | |
identifier issn | 1555-1415 | |
identifier other | cnd_013_11_111007.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl1/handle/yetl/4253784 | |
description abstract | Saddle-node or period-doubling bifurcations of the near-grazing impact periodic motions have been extensively studied in the impact oscillators, but the near-grazing Neimark-Sacker bifurcations have not been discussed yet. For the first time, this paper uncovers the novel dynamic behavior of Neimark-Sacker bifurcations, which can appear in a small neighborhood of the degenerate grazing point in a two degree-of-freedom impact oscillator. The higher order discontinuity mapping technique is used to determine the degenerate grazing point. Then, shooting method is applied to obtain the one-parameter continuation of the elementary impact periodic motion near degenerate grazing point and the peculiar phenomena of Neimark-Sacker bifurcations are revealed consequently. A two-parameter continuation is presented to illustrate the relationship between the observed Neimark-Sacker bifurcations and degenerate grazing point. New features that differ from the reported situations in literature can be found. Finally, the observed Neimark-Sacker bifurcation is verified by checking the existence and stability conditions in line with the generic theory of Neimark-Sacker bifurcation. The unstable bifurcating quasi-periodic motion is numerically demonstrated on the Poincaré section. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Neimark-Sacker Bifurcations Near Degenerate Grazing Point in a Two Degree-of-Freedom Impact Oscillator | |
type | Journal Paper | |
journal volume | 13 | |
journal issue | 11 | |
journal title | Journal of Computational and Nonlinear Dynamics | |
identifier doi | 10.1115/1.4041236 | |
journal fristpage | 111007 | |
journal lastpage | 111007-8 | |
tree | Journal of Computational and Nonlinear Dynamics:;2018:;volume( 013 ):;issue: 011 | |
contenttype | Fulltext | |