On the Solution of the Unforced Damped Duffing Oscillator with No Linear Stiffness Term
β Scribed by D. E. Panayotoukanos; N. D. Panayotounakou; A. F. Vakakis
- Book ID
- 110332241
- Publisher
- Springer Netherlands
- Year
- 2002
- Tongue
- English
- Weight
- 134 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0924-090X
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π SIMILAR VOLUMES
A system that consists of an impacting oscillator with damping has been considered in this paper. In the first part a method of analytical determination of the existence of periodic solutions to the equations of motion and a method of analysis of the stability of these solutions have been presented.
## Abstract In this paper, we consider the nonβlinear wave equation __a__,__b__>0, associated with initial and Dirichlet boundary conditions. Under suitable conditions on __Ξ±__, __m__, and __p__, we give precise decay rates for the solution. In particular, we show that for __m__=0, the decay is ex