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Implementation of the Parameter-expansion Method for the Coupled Van der Pol Oscillators
Journal article   Peer reviewed

Implementation of the Parameter-expansion Method for the Coupled Van der Pol Oscillators

N. H. Sweilam and R. F. Al-Bar
International journal of nonlinear sciences and numerical simulation, Vol.10(2), pp.259-264
2009

Abstract

Engineering Engineering, Multidisciplinary Mathematics Mathematics, Applied Mechanics Physical Sciences Physics Physics, Mathematical Science & Technology Technology
In this paper, the parameter-expansion method is applied to four mutually coupled biological systems described by coupled Van der Pol oscillators. The coupling parameter is non-identical between oscillators. The result reveals that approximation obtained by this approach is valid uniformly even for very large parameters. One iteration is sufficient to obtain a highly accurate solution, which is valid for the whole solution domain.

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