𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Chaos of a parametrically excited undamped pendulum

✍ Scribed by Chunqing Lu


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
233 KB
Volume
12
Category
Article
ISSN
1007-5704

No coin nor oath required. For personal study only.

✦ Synopsis


The shooting method is applied to prove that a pendulum with oscillatory forcing makes chaotic motions for certain parameters. The method is more intuitive than using the Poincare' map and provides more information about when the chaos occurs. It proves that more chaotic solutions exit.


πŸ“œ SIMILAR VOLUMES


CHAOS SYNCHRONIZATION OF TWO PARAMETRICA
✍ Y. Zhang; S.Q. Hu; G.H. Du πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 169 KB

Two desynchronous parametrically excited chaos pendulums demonstrate a type of hyperchaotic behavior. This paper presents a periodic feedback scheme to synchronize the two pendulum subsystems. The synchronization principle is investigated. Feedback control parameters are discussed. The synchronous p

Chaotic motions of a parametrically exci
✍ Chunqing Lu πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 301 KB

The shooting method is applied to prove that a pendulum with oscillatory forcing makes chaotic motions for certain parameters. The method is more intuitive than an using the PoincareΓ• map and provides more information about when the chaos occurs. It proves that more chaotic solutions exit.

Parameter estimations of parametrically
✍ Yu Zhang; Chao Tao; Gonghuan Du; Jack J. Jiang πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 361 KB

In this paper, an iterate parameter estimation scheme based on chaos feedback synchronization is applied for parametrically excited pendulums. The response pendulum can exactly reproduce the system parameters and bifurcation diagram of the drive pendulum, thus allowing two chaotic pendulums to be sy