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Non-integrability and chaos of a conservative compound pendulum

✍ Scribed by Ling Fu-hua; Xu Ru-jin

Book ID
105580112
Publisher
Springer
Year
1992
Tongue
English
Weight
438 KB
Volume
13
Category
Article
ISSN
0253-4827

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πŸ“œ SIMILAR VOLUMES

NON-LINEAR DYNAMICS AND CHAOS CONTROL OF
NON-LINEAR DYNAMICS AND CHAOS CONTROL OF A PHYSICAL PENDULUM WITH VIBRATING AND ROTATING SUPPORT
✍ Z.-M. GE; C.-H. YANG; H.-H. CHEN; S.-C. LEE πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 397 KB

The dynamic behavior of a physical pendulum system of which the support is subjected to both rotation and vertical vibration are studied in this paper. Both analytical and computational results are employed to obtain the characteristics of the system. By using Lyapunov's direct method the conditions

THE NON-LINEAR SLOW NORMAL MODE AND STOC
THE NON-LINEAR SLOW NORMAL MODE AND STOCHASTICITY IN THE DYNAMICS OF A CONSERVATIVE FLEXIBLE ROD/PENDULUM CONFIGURATION
✍ I.T. Georgiou; I.B. Schwartz πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 302 KB

The geometric structure has been analyzed of the slow periodic motions of a conservative structural/mechanical system consisting of a stiff linear elastic rod coupled to a non-linear pendulum oscillator. Using the theory of geometric singular perturbations, we have computed analytically a two-dimens