Application of the Lyapunov-Schmidt method to the problem of the branching of a cycle from a family of equilibria in a system with multicosymmetry.
Kurakin, L.G., Yudovich, V.I. (2000)
Sibirskij Matematicheskij Zhurnal
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Kurakin, L.G., Yudovich, V.I. (2000)
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In this paper, the feedback control for a class of bilinear control systems with a small parameter is proposed to guarantee the existence of limit cycle. We use the perturbation method of seeking in approximate solution as a finite Taylor expansion of the exact solution. This perturbation method is to exploit the “smallness” of the perturbation parameter to construct an approximate periodic solution. Furthermore, some simulation results are given to illustrate the existence of a limit...
Aleeva, M.R. (2002)
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