Czasopismo
Tytuł artykułu
Warianty tytułu
Języki publikacji
Abstrakty
For the family of rational maps zⁿ + λ/zⁿ where n ≥ 3, it is known that there are infinitely many small copies of the Mandelbrot set that are buried in the parameter plane, i.e., they do not extend to the outer boundary of this set. For parameters lying in the main cardioids of these Mandelbrot sets, the corresponding Julia sets are always Sierpiński curves, and so they are all homeomorphic to one another. However, it is known that only those cardioids that are symmetrically located in the parameter plane have conjugate dynamics. We produce a dynamical invariant that explains why these maps have different dynamics.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
253-277
Opis fizyczny
Daty
wydano
2014
Twórcy
autor
- Department of Mathematics, Boston University, 111 Cummington Mall, Boston, MA 02215, U.S.A.
autor
- Department of Mathematics, Boston University, 111 Cummington Mall, Boston, MA 02215, U.S.A.
autor
- Department of Mathematics, Boston University, 111 Cummington Mall, Boston, MA 02215, U.S.A.
autor
- Department of Mathematics, Boston University, 111 Cummington Mall, Boston, MA 02215, U.S.A.
autor
- Department of Mathematics, Boston University, 111 Cummington Mall, Boston, MA 02215, U.S.A.
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-fm226-3-5