Complicated Bifurcations of Periodic Solutions in Some System of Ode
A. SoleevFaculty of Mathematics and Mechanics, Samarkand State University, University Boulevard 15, Samarkand 703004, Uzbekistan, e-mail:
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Annotatsiya
Abstract 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.
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