Author

Paul Bracken

Department of Mathematics, University of Texas, Edinburg, TX, 78541-2999

Published papers: 2
Citations: 0
Views: 88
Downloads: 129

Publications

2 papers

Open Access Original Articles·pp. 173–181·Vol. 4, Issue 2Nov 2006

Classical Equations of Motion in Gravitational and Electromagnetic Fields from a Variational Principle

Paul Bracken

Published Online: 03 Jun 2013DOI: 10.1080/1726037X.2006.10698515

In this paper: A variational principle which has appeared previously is further developed, made rigorous and applied to a specific Lagrangian. This method produces the equations of motion for a massive, charged part...

Abstract References Full Text PDF (165 KB)Views: 40Downloads: 64Citations: 0

Open Access Original Articles·pp. 67–75·Vol. 3, Issue 1Jan 2005

Fixed Points and Factoring Iterates of the Logistic Map

Paul Bracken

Published Online: 03 Jun 2013DOI: 10.1080/1726037X.2005.10698489

In this paper: The dynamics of the one-dimensional mapping f(x) = rx(1 − x) under iteration is investigated. The cycles one through four are discussed, and the onset of periodic points in the three and four-cycles a...

Abstract References Full Text PDF (863 KB)Views: 48Downloads: 65Citations: 0