𝔖 Bobbio Scriptorium
✦   LIBER   ✦

REGULAR AND CHAOTIC DYNAMIC ANALYSIS AND CONTROL OF CHAOS OF AN ELLIPTICAL PENDULUM ON A VIBRATING BASEMENT

✍ Scribed by Z.-M. GE; T.-N. LIN

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
614 KB
Volume
230
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

✦ Synopsis

The dynamic behavior of an elliptical pendulum subjected to external disturbance is studied in this paper. The Lyapunov direct method is applied to obtain conditions of stability of the equilibrium points of the system. By applying numerical results, phase diagrams, power spectrum, period-T maps, and Lyapunov exponents are presented to observe periodic and chaotic motions. The e!ect of the parameters changed in the system can be found in the bifurcation and parametric diagrams. For global analysis, the basins of attraction of each attractor of the system are located by employing the modi"ed interpolated cell mapping (MICM) method. Finally, several methods, the delayed feedback control, the addition of constant torque, the addition of periodic force, adaptive control algorithm and bang-bang control are used to control chaos e!ectively.

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