Chaos in planar oscillations of a Toda particle

Date

1996-04-01

Author

Yavas, O
Akkas, N

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The dynamic behaviour of a Toda particle is investigated numerically. The system is a discrete spring-mass system and it oscillates in a plane two-dimensionally under the action of a harmonic excitation. Periodic and chaotic motions are shown to be possible in the parameter space. Numerical methods are used to obtain the time histories, the Poincare maps, the Lyapunov spectra, their fractal dimensions and the power spectra. It is shown that the system is sensitive to initial conditions. The two- and three-dimensional chaos diagrams are convenient in interpreting chaotic behaviour. (C) Elsevier Science Ltd

Subject Keywords

Lyapunov Exponents, Attractors, System, Pendulum, Dynamics, Motion

URI

https://hdl.handle.net/11511/65078

Journal

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

DOI

https://doi.org/10.1016/0020-7225(95)00134-4

Collections

Department of Engineering Sciences, Article

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Citation Formats

O. Yavas and N. Akkas, “Chaos in planar oscillations of a Toda particle,” INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, pp. 561–577, 1996, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65078.