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The Pendulum Swings Back

Robert F. Brown
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Robert F. Brown: University of California, Department of Mathematics

Chapter 13 in A Topological Introduction to Nonlinear Analysis, 2004, pp 85-91 from Springer

Abstract: Abstract In the previous chapter, we returned to the equation of the forced pendulum $$ y'' + a \sin y = e, $$ 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 Chapter 5. It will be convenient to remember that $$ a = \tfrac{g} {\ell } $$ where g is the gravitational constant and l is the length of the pendulum, and therefore a > 0.

Keywords: Constant Function; Force Term; Degree Theory; Previous Chapter; Index Zero (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-0-8176-8124-1_13

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