Simultaneous detection of the nonlinear restoring and excitation of a forced nonlinear oscillation: an integral approach

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Título:	Simultaneous detection of the nonlinear restoring and excitation of a forced nonlinear oscillation: an integral approach
Autor/a:	Ahmad, Fayyaz; Jang, Taek Soo; Park, Jinsoo; Sung, Hong Gun
Otros autores:	Universitat Politècnica de Catalunya. GAA - Grup d'Astronomia i Astrofísica
Abstract:	We address in this article, how to calculate the restoring characteristic and the excitation of a nonlinear forced oscillating system. Under the assumption that the forced nonlinear oscillator has a periodic solution with period, we constructed a system of linear equations by introducing time-dependent multipliers. The periodicity assumption helps simplify the system of linear equations. The stability and uniqueness are also presented for the inverse problem. Numerical testing is conducted to show the effectiveness of our presented methodology.
Abstract:	Peer Reviewed
Materia(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències -Nonlinear oscillators -Forced nonlinear oscillator -Inverse problem -Periodic solution -Nonlinear restoring and excitation -Oscil·lacions no lineals
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Tipo de documento:	Artículo - Versión presentada Artículo
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Ahmad, Fayyaz; Jang, Taek Soo; Carrasco, Juan A.; Shafiq Ur, Rehman; Ali, Zulfiqar; Ali, Nukhaze

Ahmad, Fayyaz; Ullah, Malik Zaka; Jang, Taek Soo; Alaidarous, Eman

Ullah, Malik Zaka; Serra Capizzano, Stefano; Ahmad, Fayyaz

Ahmad, Fayyaz; Tohidi, Emran; Ullah, Malik Zaka; Carrasco, Juan A.

Ullah, Malik Zaka; Serra Capizzano, Stefano; Ahmad, Fayyaz; Alaidarous, Eman

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