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Titlebook: Bifurcation Dynamics of a Damped Parametric Pendulum; Yu Guo,Albert C. J. Luo Book 2020 Springer Nature Switzerland AG 2020

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發(fā)表于 2025-3-21 20:03:07 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Bifurcation Dynamics of a Damped Parametric Pendulum
影響因子2023Yu Guo,Albert C. J. Luo
視頻videohttp://file.papertrans.cn/186/185524/185524.mp4
學(xué)科分類Synthesis Lectures on Mechanical Engineering
圖書(shū)封面Titlebook: Bifurcation Dynamics of a Damped Parametric Pendulum; Yu Guo,Albert C. J. Luo Book 2020 Springer Nature Switzerland AG 2020
影響因子.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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Travelable Periodic Motions, the pendulum. Using such fictitious functions, we can easily observe the motion complexity of angular displacement, and the coefficient .>0 in the fictitious function is arbitrarily chosen. Without loss of generality, for the Fourier series of velocity, the symbols for harmonic amplitudes and phase
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2573-3168 . The non-travelable and travelable periodic motions on the bifurcation trees are discovered. Through the bifurcation trees of travelable and non-travelable per978-3-031-79644-9978-3-031-79645-6Series ISSN 2573-3168 Series E-ISSN 2573-3176
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https://doi.org/10.1007/978-94-009-3861-8non-polynomial dynamical systems. The parametric pendulum will be as an example to be investigated, and the corresponding methodology and results can help one understand motion complexity in nonlinear dynamical systems. A parametric pendulum system is very simple but it possesses rich and complicate
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Excitation Functions With Finite Rise Time,riodic motion can be expressed by discrete points through discrete mappings of continuous dynamical systems. The method is stated through the following theorem. From Luo [48], we have the following theorem.
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發(fā)表于 2025-3-23 05:53:16 | 只看該作者
Diffus verteiltes interstellares Gas,arametrically excited pendulum. The stability and bifurcations of periodic motions are also illustrated through eigenvalue analysis. The solid and dashed curves represent the stable and unstable motions, respectively. The black and red colors are for paired asymmetric motions. The acronyms “SN” and
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