Invariant Measures for the n-Dimensional Border Collision Normal Form
نویسنده
چکیده
The border collision normal form is a continuous piecewise affine map of R n with applications in piecewise smooth bifurcation theory. We show that these maps have absolutely continuous invariant measures for an open set of parameter space and hence that the attractors have Haus-dorff (fractal) dimension n. If n = 2 the attractors have topological dimension two, i.e. they contain open sets, and if n > 2 then they have topological dimension n generically.
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ورودعنوان ژورنال:
- I. J. Bifurcation and Chaos
دوره 24 شماره
صفحات -
تاریخ انتشار 2014