A cohomological index of Fuller type for set-valued dynamical systems |
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Authors: | Wojciech Kryszewski Robert Skiba |
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Affiliation: | Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland |
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Abstract: | In the paper we develop the theory of a cohomological index of the Fuller type detecting periodic orbits of a set-valued dynamical system generated by a differential inclusion or a differential equation without the uniqueness of solutions. The theory presented is applied to establish a general result on the existence of bifurcation of periodic orbits from an equilibrium point of a differential inclusion. |
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Keywords: | 54C60 34A60 34K18 55N05 37C27 37C25 |
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