Recurrence analysis on Julia sets of semigroups of complex polynomials

DOI10.1007/s12190-013-0746-1zbMath1347.37129OpenAlexW2070856982WikidataQ123259548 ScholiaQ123259548MaRDI QIDQ741394

Renato Colucci, Gerardo R. Chacón, Daniele D'Angeli

Publication date: 12 September 2014

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-013-0746-1

zbMATH Keywords

Julia settime series analysiscomplex dynamicssemigroups of analytic functions

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Time series analysis of dynamical systems (37M10)

Cites Work

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• The generalized M-J sets for bicomplex numbers
• The research of the fractal nature between costs and efficacy in the brain vascular disease
• Julia sets of Newton's method for a class of complex-exponential function \(F(z)=P(z)e^{Q(z)}\)
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• Generalized Julia sets from a non-analytic complex mapping
• The generalized Julia set perturbed by composing additive and multiplicative noises
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• Combinatorial and experimental methods for approximate point pattern matching
• Julia sets of rational semigroups
• Additive perturbed generalized Mandelbrot-Julia sets
• Research on fractal structure of generalized M--J sets utilized Lyapunov exponents and periodic scanning techniques
• The general quaternionic M-J sets on the mapping \(z\leftarrow z^{\alpha}+c \, (\alpha \in \mathbf N)\)
• Density of backward paths on the Julia set of a semigroup
• Random complex dynamics and semigroups of holomorphic maps
• RESEARCH ON BROWNIAN MOVEMENT BASED ON GENERALIZED MANDELBROT–JULIA SETS FROM A CLASS COMPLEX MAPPING SYSTEM
• THE QUASI-SINE FIBONACCI HYPERBOLIC DYNAMIC SYSTEM
• An invariant measure for finitely generated rational semigroups
• The Julia set of a random iteration system
• The Dynamics of Semigroups of Rational Functions I

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