Visualizing the complex dynamics of families of polynomials with symmetric critical points

DOI10.1016/j.chaos.2009.03.042zbMath1198.37005OpenAlexW1980037355MaRDI QIDQ603768

Ning Chen, Ming Tang, Yan-Ling Sun, Jing Sun

Publication date: 8 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2009.03.042

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Software, source code, etc. for problems pertaining to dynamical systems and ergodic theory (37-04)

Related Items (1)

Homoclinic solutions in a quadratic differential system under discretization

Uses Software

• Symmetry in Chaos
• J

Cites Work

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• Visual presentation of dynamic systems with hyperbolic planar symmetry
• On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
• Efficient generation of hyperbolic symmetries from dynamics
• Chaotic attractors with discrete planar symmetries
• Critical points and dynamic systems with planar hexagonal symmetry

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