The Parameter Planes of λz m exp(z) for m ≥ 2*
نویسندگان
چکیده
منابع مشابه
The Parameter Planes of λz m exp ( z ) for m ≥ 2
We consider the families of entire transcendental maps given by Fλ,m(z) = λz m exp(z) where m ≥ 2. All functions Fλ,m have a superattracting fixed point at z = 0, and a critical point at z = −m. In the parameter planes we focus on the capture zones, i.e., λ values for which the critical point belongs to the basin of attraction of z = 0, denoted by A(0). In particular, we study the main capture ...
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متن کاملCapture zones of the family of functions λz m exp ( z ) .
We consider the family of entire transcendental maps given by Fλ,m(z) = λz m exp(z) wherem ≥ 2. All functions Fλ,m have a superattracting fixed point at z = 0, and a critical point at z = −m. In the dynamical plane we study the topology of the basin of attraction of z = 0. In the parameter plane we focus on the capture behaviour, i.e., λ values such that the critical point belongs to the basin ...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2007
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-007-0265-8