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Seminar "Optimal Control and Dynamical Systems"
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Large bifurcation supports Yu. S. Ilyashenkoabc a National Research University "Higher School of Economics", Moscow b Independent University of Moscow c Steklov Mathematical Institute of Russian Academy of Sciences, Moscow |
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Abstract: The talk deals with a general problem of the bifurcation theory on the two-sphere. Consider a vector field with arbitrary degeneracies: complex singular points, multiple limit cycles and polycycles. What part of the phase portrait will bifurcate under a perturbation of this field, and what part will remain unchanged? Not only the degenerated parts of the phase portrait mentioned above will bifurcate; some generic parts will also. A highly nontrivial question arises: WHO BIFURCATES? The answer will be given in the talk based on a joint work with Natalya Goncharuk. |
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