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Elliptic Functions with Disconnected Julia Sets
International Journal of Bifurcation and Chaos, 2016In this paper, we investigate elliptic functions of the form [Formula: see text], where [Formula: see text] is the Weierstrass elliptic function on a real rhombic lattice. We show that a typical function in this family has a superattracting fixed point at the origin and five other equivalence classes of critical points.
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On the quaternion Julia sets via Picard–Mann iteration
Nonlinear Dynamics, 2023Krzysztof Gdawiec +2 more
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Control and synchronization of Julia sets in coupled map lattice
Communications in Nonlinear Science and Numerical Simulation, 2011Ping Liu, Shutang Liu
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The gradient control of spatial-alternated Julia sets
Nonlinear Dynamics, 2015, Shutang Liu, Liu Shutang
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Ergodic Properties and Julia Sets of Weierstrass Elliptic Functions
Monatshefte Fur Mathematik, 2002Lorelei Koss +2 more
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