Article ID Journal Published Year Pages File Type
10733172 Chaos, Solitons & Fractals 2005 9 Pages PDF
Abstract
In this paper, we introduce a modified Lyapunov vector method for retrieving the leading Lyapunov exponent for a dynamical system with strong nonlinear forces. Performances of the proposed method and the classical QR method are compared. This method is applied to the computation of Lyapunov exponents of a mechanical oscillator under the influence of van der Waals forces. The advantage of this approach lies in the property of preserving the norm of the solution vector.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
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