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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..

Record type: Conference or Workshop Item (Paper)


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.

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Published date: 2010
Additional Information: Paper No.130,12pp(Format - USB Pen Drive)
Keywords: Van der Pol oscillator, fractional powers, Krylov-Bogoliubov method, limit cycle, relaxation oscillations


Local EPrints ID: 160737
ISBN: 9780854329106
PURE UUID: a54bef80-ec8b-4747-bca8-8c807efdbc2d

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Date deposited: 21 Jul 2010 07:48
Last modified: 18 Jul 2017 12:35

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Author: I. Kovacic
Editor: M.J. Brennan
Editor: Ivana Kovacic
Editor: V. Lopes Jr
Editor: K. Murphy
Editor: B. Petersson
Editor: S. Rizzi
Editor: T. Yang

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