Control and synchronization of Julia sets of the complex dissipative standard system

DOI10.15388/NA.2016.4.3zbMath1415.37064WikidataQ122918570 ScholiaQ122918570MaRDI QIDQ4968077

Yongping Zhang, Weihua Sun

Publication date: 12 July 2019

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

zbMATH Keywords

controlJulia setsynchronizationcomplex dissipative standard system

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (1)

Fractal dimension and synchronization of the controlled Julia sets of the SIRS model

Cites Work

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• The generalized M-J sets for bicomplex numbers
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• Noise perturbed generalized Mandelbrot sets
• Dynamics of the complex standard family
• 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 \(z\leftarrow z^{\alpha}+c \, (\alpha \in \mathbf N)\)
• RESEARCH ON BROWNIAN MOVEMENT BASED ON GENERALIZED MANDELBROT–JULIA SETS FROM A CLASS COMPLEX MAPPING SYSTEM
• THE QUASI-SINE FIBONACCI HYPERBOLIC DYNAMIC SYSTEM
• Controlling chaos
• Adaptive motion/force control of nonholonomic mechanical systems with affine constraints
• CHAOS AND ADAPTIVE SYNCHRONIZATIONS IN FRACTIONAL-ORDER SYSTEMS

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