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Generalization of the Senator–Bapat Method to Systems having Limit Cycles

✍ Scribed by E.R. Mickens

Book ID
102606286
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
96 KB
Volume
224
Category
Article
ISSN
0022-460X

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✦ Synopsis

Many techniques exist for constructing analytical approximations to the solutions of oscillatory systems modelled by the equation

where e is a small and positve parameter: the Lindstedt±Poincare method [1], harmonic balancing [2], averaging techniques [3], and iteration procedures [4]. Recently, similar work has begun on systems that have large non-linearities, i.e., systems that do not have a linear limiting case. A particular example is the equation x x 3 m f x, xX 2

📜 SIMILAR VOLUMES

Application of a generalized Senator–Bap
Application of a generalized Senator–Bapat perturbation technique to nonlinear dynamical systems with an irrational restoring force
✍ S.K. Lai; Y. Xiang 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 473 KB

This paper presents an alternative approach for mathematical modeling of an oscillating system with an irrational restoring force. Such a model corresponds to the oscillation of an elastic wire or string. A generalized Senator-Bapat perturbation technique is employed to deal with this nonlinear syst