Strange Attractors in Simple Control Systems
نویسنده
چکیده
We describe the limit sets in affine control systems, in affine differential systems with impulses. In contrast with the fixed points in ODE case, these sets may have a fractal structure. We give estimations of their Hausdorff dimension. For these systems we extend the notion of Shadowing Property and state this property in the neighborhoods of the attractors and repellers in control systems.
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