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Nanotechnology and Mathematics “Study of Non-linear Dynamic Vibration in Single Walled Carbon Nanotubes (SWNTs)”

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Book cover Mathematical Models, Methods and Applications

Part of the book series: Industrial and Applied Mathematics ((INAMA))

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Abstract

This paper discusses some aspects of the applied nonlinear mathematics that are used to solve the problems in nanotechnology. The equation of motion of nanoscopic systems, which is a nonlinear dynamical process, is discussed in the current study. It is observed that in the nonresonant response, the amplitude remains constant up to the second order of approximation.

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Acknowledgments

Thanks are due to Department of Electronics and Information Technology (DeitY), Ministry of Communication & Information Technology, Government of India for providing financial assistance in the form of Major Research Project

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Authors and Affiliations

  1. Centre for Nanoscience and Nanotechnology, Jamia Millia Islamia, New Delhi, India

    Mushahid Husain

  2. Department of Mathematics, Jamia Millia Islamia, New Delhi, India

    Ayub Khan

Authors
  1. Mushahid Husain
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  2. Ayub Khan
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Corresponding author

Correspondence to Mushahid Husain .

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Editors and Affiliations

  1. School of Basic Sciences and Research, Sharda University, Greater Noida, Uttar Pradesh, India

    Abul Hasan Siddiqi

  2. Guru Nanak Dev University, Amritsar, Punjab, India

    Pammy Manchanda

  3. University, Guru Gobind Singh Indraprastha, Dwarka, India

    Rashmi Bhardwaj

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Husain, M., Khan, A. (2015). Nanotechnology and Mathematics “Study of Non-linear Dynamic Vibration in Single Walled Carbon Nanotubes (SWNTs)”. In: Siddiqi, A., Manchanda, P., Bhardwaj, R. (eds) Mathematical Models, Methods and Applications. Industrial and Applied Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-287-973-8_9

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