A note on a problem on omega-limit sets of N-dimensional skew-product maps

作者:Garcia Guirao Juan Luis; Lopez Pelayo Fernando
来源:International Journal of Computer Mathematics, 2010, 87(6): 1228-1232.
DOI:10.1080/00207160802279789

摘要

In 2003, Balibrea et al. stated the problem of finding a skew-product map G on I(3) holding omega(G) = {0} x I(2) = omega(G)(x, y, z) for any (x, y, z) is an element of I(3), x not equal 0. We present a method for constructing skew-product maps F on I(n+1) holding omega(F) = {0} x I(n) = omega(F)(x(1), x(2), ... , x(n+1)), (x(1), x(2), ... , x(n+1)) is an element of I(,)(n+1) x(1) not equal 0.

  • 出版日期2010

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