Article ID Journal Published Year Pages File Type
10734337 Chaos, Solitons & Fractals 2005 12 Pages PDF
Abstract
We study the structural stability of the Helmholtz oscillator under changes of the shape of periodic nonlinear perturbations. In particular, we determine the order-chaos threshold by means of Melnikov's method for the case of periodic perturbations given in terms of Jacobian elliptic functions. Computer simulations confirm our theoretical predictions.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
Preview
Reshaping-induced order-chaos routes in a damped driven Helmholtz oscillator
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