Citation
Wh. Hai et al., Analytically bounded and numerically unbounded compound pendulum chaos, PHYS LETT A, 275(1-2), 2000, pp. 54-59
Citations number
19
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601
→ ACNP
Volume
275
Issue
1-2
Year of publication
2000
Pages
54 - 59
Database
ISI
SICI code
0375-9601(20001002)275:1-2<54:ABANUC>2.0.ZU;2-3
Abstract
A compound pendulum with deterministically periodic perturbation is treated
. In the analytical approximation, chaotic solution initially near the homo
clinic one is constructed and its boundedness conditions are established. I
t is shown that the chaotic solution is analytically bounded and numericall
y unbounded, which describes a non-periodical vibration around unstable equ
ilibrium of the corresponding unperturbed system (C)2000 Published by Elsev
ier Science B.V.