On the motion of a generalized Van der Pol oscillator: influence of the fracational-order restoring and damping force


Kovacic, I., (2010) On the motion of a generalized Van der Pol oscillator: influence of the fracational-order restoring and damping force Brennan, M.J., Kovacic, Ivana, Lopes Jr, V., Murphy, K., Petersson, B., Rizzi, S. and Yang, T. (eds.) In Proceedings of the Tenth International Conference on Recent Advances in Structural Dynamics (RASD2010). University of Southampton..

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Description/Abstract

A generalized van der Pol oscillator is considered, with the positive real power nonlinearities
in the restoring and damping force, including fractional powers. An analytical approach based
on the Krylov–Bogoliubov method is utilized to derive approximate expressions for the
amplitude of a limit cycle for small values of the damping coefficient. Matched asymptotic
expansions are used to study relaxation oscillations for larger values of the damping
coefficient. The influence of the powers of the restoring and damping force on the properties
of these oscillations is investigated.

Item Type: Conference or Workshop Item (Paper)
Additional Information: Paper No.130,12pp(Format - USB Pen Drive)
ISBNs: 9780854329106 (print)
Related URLs:
Keywords: Van der Pol oscillator, fractional powers, Krylov-Bogoliubov method, limit cycle, relaxation oscillations
Subjects:
ePrint ID: 160737
Date :
Date Event
2010Published
Date Deposited: 21 Jul 2010 07:48
Last Modified: 18 Apr 2017 03:49
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/160737

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