Journal article
On the computation of Lyapunov exponents for forced vibration of a Lennard–Jones oscillator
Chaos, solitons and fractals, Vol.23(3), pp.833-841
2005
DOI: 10.1016/j.chaos.2004.05.034
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.
Details
- Title: Subtitle
- On the computation of Lyapunov exponents for forced vibration of a Lennard–Jones oscillator
- Creators
- Guolai Yang - Department of Mechanical Design and Automation, Nanjing University of Science and Technology, Nanjing 210094, PR ChinaJia Lu - Center for Computer Aided Design, Department of Mechanical & Industrial Engineering, The University of Iowa, Iowa City, IA 52242-1527, USAAlbert C.J Luo - Department of Mechanical & Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62026-1805, USA
- Resource Type
- Journal article
- Publication Details
- Chaos, solitons and fractals, Vol.23(3), pp.833-841
- Publisher
- Elsevier Ltd
- DOI
- 10.1016/j.chaos.2004.05.034
- ISSN
- 0960-0779
- eISSN
- 1873-2887
- Grant note
- DOI: 10.13039/501100002338, name: Ministry of Education of the People's Republic of China; DOI: 10.13039/501100004543, name: China Scholarship Council
- Language
- English
- Date published
- 2005
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064240902771
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