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Control of Chaos in Nonlinear Systems Subjected to Parametric and Stochastic Excitations

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Book cover IUTAM Symposium on Nonlinearity and Stochastic Structural Dynamics

Part of the book series: Solid Mechanics and its Applications ((SMIA,volume 85))

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Abstract

The nonfeedback methods of chaos control are well suited for practical applications. This paper discusses the derivation of an analytical method using the generalized Melnikov criterion for determining the control parameters to convert the chaotic motion to a periodic motion for the case of nonfeedback method of chaos control using the addition of a weak periodic force. This is discussed for a nonlinear system subjected to parametric and stochastic excitations.

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Author information

Authors and Affiliations

  1. Machine Dynamics Laboratory Department of Applied Mechanics, Indian Institute of Technology, Madras, 600036, India

    S. Narayanan & M. Ramesh

Authors
  1. S. Narayanan
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  2. M. Ramesh
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Editor information

Editors and Affiliations

  1. Department of Applied Mechanics, Indian Institute of Technology, Madras, India

    S. Narayanan

  2. Department of Civil Engineering, Indian Institute of Science, Bangalore, India

    R. N. Iyengar

  3. CBRI, Roorkee, India

    R. N. Iyengar

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© 2001 Springer Science+Business Media Dordrecht

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Narayanan, S., Ramesh, M. (2001). Control of Chaos in Nonlinear Systems Subjected to Parametric and Stochastic Excitations. In: Narayanan, S., Iyengar, R.N. (eds) IUTAM Symposium on Nonlinearity and Stochastic Structural Dynamics. Solid Mechanics and its Applications, vol 85. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0886-0_14

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  • DOI: https://doi.org/10.1007/978-94-010-0886-0_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-3808-9

  • Online ISBN: 978-94-010-0886-0

  • eBook Packages: Springer Book Archive

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