Title: Dynamical response of the non-linear vibration of single-walled carbon nanotubes

Authors: Ayub Khan, Niti Goel, Samina Khan, M. Husain

Addresses: Department of Mathematics, Zakir Husain College, University of Delhi, New Delhi – 110002, India. ' Department of Mathematics, Zakir Husain College, University of Delhi, New Delhi – 110002, India. ' Department of Physics, Jamia Millia Islamia (Central University), New Delhi – 110025, India. ' Department of Physics, Jamia Millia Islamia (Central University), New Delhi – 110025, India

Abstract: Dynamical response in single-walled carbon nanotubes (SWNTs) has been investigated through analytical and computational techniques. Analytically, an explicit expression for a formal control term has been estimated by using the Lie transforms. Computational studies reveal the suppression of chaos, which is in good agreement with the analytical investigations. And, our system follows regular patterns after the inclusion of control term.

Keywords: single-walled carbon nanotubes; CNT; nonlinear vibration; Poincare; chaos suppression; dynamic response.

DOI: 10.1504/IJNP.2009.028755

International Journal of Nanoparticles, 2009 Vol.2 No.1/2/3/4/5/6, pp.216-225

Published online: 30 Sep 2009 *

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