Capture Zones of the Family of Functions λzmexp(z)

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determination of maximal singularity free zones in the workspace of parallel manipulator

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15 صفحه اول

Capture 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: International Journal of Bifurcation and Chaos

سال: 2003

ISSN: 0218-1274,1793-6551

DOI: 10.1142/s0218127403008120