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Chaos in mechanical systems — A review

  • Advances in nonlinear structural dynamics
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Abstract

In this paper, a review of the various developments in the field of chaotic dynamics with specific emphasis on chaos in structural and mechanical systems is presented. The paper discusses some known chaotic systems such as the Lorenz, Rössler, Ueda and Henon attractors as well as chaos in Duffing and Van der Pol oscillators. The paper also covers chaos in piecewise linear systems, impacting oscillators and flow induced vibrating systems. Topics such as bifurcations and routes to chaos, different ways of characterising chaos, domains of attraction and control of chaos are also discussed.

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  1. Machine Dynamics Laboratory, Department of Applied Mechanics, Indian Institute of Technology, 600 036, Madras, India

    P Sekar & S Narayanan

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Sekar, P., Narayanan, S. Chaos in mechanical systems — A review. Sadhana 20, 529–582 (1995). https://doi.org/10.1007/BF02823207

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