RESEARCH ON BROWNIAN MOVEMENT BASED ON GENERALIZED MANDELBROT–JULIA SETS FROM A CLASS COMPLEX MAPPING SYSTEM

DOI10.1142/S0217984907013560zbMath1144.82053OpenAlexW2002434256WikidataQ121767841 ScholiaQ121767841MaRDI QIDQ3499099

Wei Liu, Xuejing Yu, Xing-Yuan Wang

Publication date: 28 May 2008

Published in: Modern Physics Letters B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217984907013560

zbMATH Keywords

fractaldouble-well potentialBrownian movementgeneralized Mandelbrot-Julia setsLangevin problemsimple complex mapping system

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fractals (28A80)

Related Items (17)

Application of Fixed Point Iterative Methods to Construct Fractals and Anti-fractals ⋮ Control of the spatial Mandelbrot set generated in coupled map lattice ⋮ PARAMETER ESTIMATION OF THE CLASSICAL FRACTAL MAP BASED ON A GIVEN JULIA SET’S SHAPE ⋮ MANDELBROT FRACTALS USING FIXED-POINT TECHNIQUE OF SINE FUNCTION ⋮ Control of Julia Sets in Generalized Alternated System ⋮ A PRELIMINARY STUDY ON THE FRACTAL PHENOMENON: “DISCONNECTED+ DISCONNECTED=CONNECTED” ⋮ Control and synchronization of Mandelbrot sets in coupled map lattice ⋮ A SHORT NOTE ON THE BOUNDEDNESS ANALYSIS AND CONTROL OF THE SPATIAL FRACTAL SET FROM A KIND OF CHAIN COUPLING LOGISTIC TYPE MAP ⋮ Accurate computation of periodic regions' centers in the general \(M\)-set with integer index number ⋮ Control of the thermal fractal diffusion of tightly compressed heterogeneous layers of thin plates ⋮ Julia sets and Mandelbrot sets in Noor orbit ⋮ The generalized Julia set perturbed by composing additive and multiplicative noises ⋮ Bivariate Newton-Raphson method and toroidal attraction basins ⋮ Recurrence analysis on Julia sets of semigroups of complex polynomials ⋮ Control and synchronization of Julia sets of the complex dissipative standard system ⋮ The generalized Mandelbrot set perturbed by composing noise of additive and multiplicative ⋮ Generalized Julia set in coupled map lattice and its coupling and synchronization

Cites Work

• Unnamed Item
• 1/s-expansion for generalized dimensions in a hierarchical s-state Potts model

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