CONTROL AND SYNCHRONIZATION OF JULIA SETS OF THE COMPLEX PERTURBED RATIONAL MAPS

DOI10.1142/S0218127413500831zbMath1270.37035WikidataQ120902449 ScholiaQ120902449MaRDI QIDQ2845299

Yongping Zhang

Publication date: 22 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Julia setsynchronizationthe optimal control function

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamical systems in control (37N35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (7)

Synchronization between the spatial Julia sets of complex Lorenz system and complex Henon map ⋮ Control of Weierstrass–Mandelbrot Function Model with Morlet Wavelets ⋮ Fractal dynamics and control of the fractional Potts model on diamond-like hierarchical lattices ⋮ CONTROL AND SYNCHRONIZATION OF JULIA SETS GENERATED BY A CLASS OF COMPLEX TIME-DELAY RATIONAL MAP ⋮ Adaptive synchronization of Julia sets generated by Mittag-Leffler function ⋮ Fractal analysis and control in the predator–prey model ⋮ On the noise-perturbed spatial Julia set generated by Lorenz system

Cites Work

• Synchronization and coupling of Mandelbrot sets
• Physical meaning for Mandelbrot and Julia sets
• Fractal measures and their singularities: The characterization of strange sets
• Controlling chaos
• A GENERALIZED VERSION OF THE MCMULLEN DOMAIN
• LIMITING JULIA SETS FOR SINGULARLY PERTURBED RATIONAL MAPS

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