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Dynamics of Nonlinear Time-Delay Systems pp 85–103Cite as

Implications of Delay Feedback: Amplitude Death and Other Effects

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Part of the book series: Springer Series in Synergetics ((SSSYN))

Abstract

For a long time, in the study of coupled nonlinear oscillators, the role of delay has often been neglected as unimportant. In many cases this approximation is physically justified and in all the cases it simplifies the mathematics. However, in recent times one has witnessed increased activities to investigate oscillator systems with delay feedback and it has been proved that delay feedback is a veritable black box which can give rise to several interesting and novel phenomena having wide applications, and these cannot be observed in the absence of delay feedback. In this chapter, we will discuss an important time-delay induced phenomenon, namely amplitude death, which has been the center of attraction in recent research on coupled oscillators with delay feedback. In addition, we will also point out some of the other important time-delay induced phenomena observed in coupled oscillators.

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Author information

Authors and Affiliations

  1. Centre for Nonlinear Dynamics, Bharathidasan University, Palkalaiperur Campus, Tiruchirapalli, 620 024, India

    Prof. Dr. M. Lakshmanan

  2. Transdisciplinary Concepts and Methods, Potsdam Institute for Climate Impact Research, Telegrafenberg, 14412, Potsdam, Germany

    Dr. D.V. Senthilkumar

Authors
  1. Prof. Dr. M. Lakshmanan
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  2. Dr. D.V. Senthilkumar
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Correspondence to M. Lakshmanan .

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© 2011 Springer-Verlag Berlin Heidelberg

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Lakshmanan, M., Senthilkumar, D. (2011). Implications of Delay Feedback: Amplitude Death and Other Effects. In: Dynamics of Nonlinear Time-Delay Systems. Springer Series in Synergetics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14938-2_5

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  • DOI: https://doi.org/10.1007/978-3-642-14938-2_5

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14937-5

  • Online ISBN: 978-3-642-14938-2

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