We propose an analytical representation of close-to-equilibrium solutions of nonlinear conservative oscillators with n-degrees of freedom (n > 2) using semitrigonometric polynomials, given in closed form. A convergence theorem is proved. Moreover we present an iterative method which implements the proposed representation. Some significant examples are given.

On the representation of close-to-equilibrium solutions of n-dimensional conservative oscillators

PAVANI, RAFFAELLA
2007

Abstract

We propose an analytical representation of close-to-equilibrium solutions of nonlinear conservative oscillators with n-degrees of freedom (n > 2) using semitrigonometric polynomials, given in closed form. A convergence theorem is proved. Moreover we present an iterative method which implements the proposed representation. Some significant examples are given.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/552564
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