| 期刊全称 | Bifurcation Dynamics of a Damped Parametric Pendulum | | 影响因子2023 | Yu Guo,Albert C. J. Luo | | 视频video | | | 学科分类 | Synthesis Lectures on Mechanical Engineering | | 图书封面 |  | | 影响因子 | .The inherent complex dynamics of a parametrically excited pendulum is of great interest in nonlinear dynamics, which can help one better understand the complex world...Even though the parametrically excited pendulum is one of the simplest nonlinear systems, until now, complex motions in such a parametric pendulum cannot be achieved. In this book, the bifurcation dynamics of periodic motions to chaos in a damped, parametrically excited pendulum is discussed. Complete bifurcation trees of periodic motions to chaos in the parametrically excited pendulum include:.. .period-1 motion (static equilibriums) to chaos, and. .period-���� motions to chaos (���� = 1, 2, ···, 6, 8, ···, 12).. . .The aforesaid bifurcation trees of periodic motions to chaos coexist in the same parameter ranges, which are very difficult to determine through traditional analysis. Harmonic frequency-amplitude characteristics of such bifurcation trees are also presented to show motion complexity and nonlinearity in such a parametrically excited pendulum system. The non-travelable and travelable periodic motions on the bifurcation trees are discovered. Through the bifurcation trees of travelable and non-travelable per | | Pindex | Book 2020 |
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发表于 2025-3-21 20:03:07
