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Displaying similar documents to “Bifurcation of periodic solutions to variational inequalities in ℝ κ based on Alexander-Yorke theorem”

Examples of bifurcation of periodic solutions to variational inequalities in ℝ κ

Milan Kučera (2000)

Czechoslovak Mathematical Journal

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A bifurcation problem for variational inequalities U ( t ) ∈ K , ( U ˙ ( t ) - B λ U ( t ) - G ( λ , U ( t ) ) , Z - U ( t ) ) ≥ 0 for all Z ∈ K , a.a. t ≥ 0 is studied, where K is a closed convex cone in ℝ κ , κ ≥ 3 , B λ is a κ × κ matrix, G is a small perturbation, λ a real parameter. The main goal of the paper is to simplify the assumptions of the abstract results concerning the existence of a bifurcation of periodic solutions developed in the previous paper and to give examples in more than three dimensional case.