Regular and chaotic motion of a kicked pendulum: a Markovian approach (Q5890329)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Regular and chaotic motion of a kicked pendulum: a Markovian approach |
scientific article; zbMATH DE number 1655509
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regular and chaotic motion of a kicked pendulum: a Markovian approach |
scientific article; zbMATH DE number 1655509 |
Statements
2001
0 references
statistical stability
0 references
dynamics of long pendulum
0 references
kick excitation
0 references
full chaos
0 references
transient chaos
0 references
improvement of Markovian approximation technique
0 references
Regular and chaotic motion of a kicked pendulum: a Markovian approach (English)
0 references
In this paper is statistically investigated the dynamics of kicked long pendulum with linear friction. Dynamics of such pendulum is described by linear equation of the second-order. In order to keep the pendulum in motion a kick is exerted whenever the pendulum's angular velocity does not exceed some limited value as the pendulum goes through the vertical position from the right to the left. It is assumed that each kick instantaneously enlarged the angular velocity on the limited value. The kick is stronger if slower pendulum and vise versa. It is stated that on dependence of characteristics of kicks excitation it is possible full chaos or transient chaos in the pendulum motion. As author states his method improves the Markovian approximation techniques discussed in literature.
0 references
