FRACTALS FROM NONLINEAR IFSs OF THE COMPLEX MAPPING FAMILY f(z) = zn + c

DOI10.1142/S0218348X18500445zbMath1433.28010OpenAlexW2793969758MaRDI QIDQ4959960

Yinuo Chen, Kwok Wai Chung, Ning Chen

Publication date: 7 April 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x18500445

zbMATH Keywords

iterated function systemstrange attractorMandelbrot setfractalfilled-in Julia set

Mathematics Subject Classification ID

Fractals (28A80) Holomorphic families of dynamical systems; holomorphic motions; semigroups of holomorphic maps (37F44)

Related Items (1)

RINGS AROUND SIERPINSKI HOLES

Cites Work

• Homoclinic attractors in discontinuos iterated function systems
• ``Missing moment and perturbative methods for polynomial iterated function systems
• A class of nonlinear iterated function system attractors
• ITERATED FUNCTION SYSTEMS WITH A GIVEN CONTINUOUS STATIONARY DISTRIBUTION
• A NEW FRACTAL INTERPOLATION ALGORITHM AND ITS APPLICATIONS TO SELF-AFFINE SIGNAL RECONSTRUCTION
• Iterated Function Systems with Overlaps and Self-Similar Measures
• K-ITERATED FUNCTION SYSTEM
• Iterated function systems with a weak separation condition
• THE BOUNDARY OF THE ATTRACTOR OF A RECURRENT ITERATED FUNCTION SYSTEM
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