@inproceedings{32dcd9b956de4caf96d5051493bc4076,
title = "Stability of the elliptically excited pendulum using the homoclinic melnikov function",
abstract = "In this paper we investigate the dynamics of a pendulum subject to an elliptical pattern of excitation. The physical model is motivated by the development of sea wave energy extraction systems which exploit the rotating solutions of pendulum systems to drive generation. We formulate the homoclinic Melnikov function for the system and then demonstrate bounds on the set of parameters which can support homoclinic bifurcation. As the homoclinic bifurcation is a precursor to escape and the formation of rotating solutions in the evolution of the system under increasing forcing, these estimates provide bounds on the parameter space outwith which stable rotating solutions are not observed.",
keywords = "Elliptically excited pendulum, Homoclinic melnikov function, Rotating solutions",
author = "Morrison, {Richard A.} and Marian Wiercigroch",
year = "2013",
month = jan,
day = "1",
doi = "10.1007/978-94-007-5742-4_7",
language = "English",
isbn = "9789400757417",
series = "IUTAM Bookseries",
publisher = "Springer Verlag",
pages = "87--94",
editor = "Wiercigroch, {Marian } and Giuseppe Rega",
booktitle = "IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design - Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design",
address = "Germany",
note = "IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, 2010 ; Conference date: 27-07-2010 Through 30-07-2010",
}