The Pendulum Swings Back

Robert F. Brown

Chapter Chapter 13 in A Topological Introduction to Nonlinear Analysis, 2014, pp 93-100 from Springer

Abstract: Abstract In the previous chapter, we returned to the equation of the forced pendulum y ″ + a sin y = e , $$\displaystyle{y'' + a\sin y = e,}$$ assuming now that the forcing term e: R → R is a continuous T-periodic function, but not necessarily an odd function as it was in Chap. 5. Recall that a = g ℓ $$a = \frac{g} {\ell}$$ where g is the gravitational constant and ℓ is the length of the pendulum, and therefore a > 0.

Keywords: Pendulum Swung Back; Forced Pendulum Equation; Mawhin; Constant Real-valued Functions; Periodic Boundary Value Problem (search for similar items in EconPapers)
Date: 2014
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-11794-2_13

Ordering information: This item can be ordered from
http://www.springer.com/9783319117942

DOI: 10.1007/978-3-319-11794-2_13

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().