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Complicated Bifurcations of Periodic Solutions in Some System of Ode

Published online by Cambridge University Press:  20 November 2018

A. Soleev
A. Soleev*
Affiliation:
Faculty of Mathematics and Mechanics, Samarkand State University, University Boulevard 15, Samarkand 703004, Uzbekistan, e-mail:soleev@samarkand.silk.glas.apc.org
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Abstract

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In a vicinity of a stationary solution we consider a real analytic system of ODE of order four, depending on a small parameter. We look for families of periodic solutions which contract to the stationary solution, when the parameter tends to zero. We apply the general methods developed in [2] for the study of complex bifurcations and in [4] for local resolutions of singularities.

Keywords

34C2034C25
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 39 , Issue 3 , 01 September 1996 , pp. 360 - 366
Copyright
Copyright © Canadian Mathematical Society 1996

References

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