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Chaos in planar oscillations of a Toda particle

1996-04-01
Yavas, O
Akkas, N
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