- Author
- Simiu, E. | Cook, G. R. | Alibe, B.
- Title
- Algebraic Approximation of Attractors for Galloping Oscillators.
- Coporate
- National Institute of Standards and Technology, Gaithersburg, MD
- Journal
- Journal of Sound and Vibration, Vol. 146, No. 1, 170-175, 1991
- Keywords
- oscillators | equations | numerical analysis
- Abstract
- A constructive method for approximating attractors was recently developed in reference [1], where it was applied to systems with non-linearities due to bilinear operators. The purpose of this letter is to test the practical applicability of the method to autonomous galloping oscillators [2,3], in which non-linearities are due to seventh degree polynomials. We summarize relevant results of reference [1], and give revised versions for two expression presented in reference [1] for approximating attractors and estimating approximation errors. We apply those results to galloping oscillators, and compare results obtained by algebraic approximation and by numerical integration. We tentatively assess some practical aspects of the method as applied to our systems.