Results 71 to 80 of about 2,419 (215)
ABSTRACT Noise is an inherent component of observed time series and may be treated either as an undesirable disturbance or as an intrinsic system characteristic containing information about underlying dynamics. In the latter perspective, noise behavior must be analyzed and quantified, and the model used for time‐series synthesis should be compatible ...
Shirin Studnicka, Deli Li, Umed Panu
wiley +1 more source
This study presents an innovative iterative method designed to approximate common fixed points of generalized contractive mappings. We provide theorems that confirm the convergence and stability of the proposed iteration scheme, further illustrated ...
Khairul Habib Alam +5 more
doaj +1 more source
Comparing Two Novel LiDAR‐Based Indices for Quantifying Forest Structural Complexity
This study compares two LiDAR‐derived forest structural complexity indices: the fractal‐based box dimension (Db$$ {D}_b $$) and the entropy‐based canopy entropy (CE$$ CE $$). Analysis of 170 plots revealed a strong linear correlation (r = 0.823) between Db$$ {D}_b $$ and CE$$ CE $$, but computation was much slower.
Tillman Reuter +2 more
wiley +1 more source
With a generalized setting of transcendental functions associated with a non-linear variable, we have observed the combinatorial structures of the fractals of Julia sets and Mandelbrot sets due to the function zκcos(zκ)+pz2+q, in the complex plane with p,
Santanu Nandi +2 more
doaj +1 more source
ABSTRACT Access to forests, farming land and the Citarum river is limited in Tarumajaya; furthermore, many do not own their own housing and are dependent on the public and private landowners in the area. The region of Tarumajaya faces significant challenges in access to crucial resources such as forests, farming land and the Citarum river, leading to a
Rudolf Wirawan +4 more
wiley +1 more source
Generalized Logistic Maps in the Complex Plane: Structure, Symmetry, and Escape-Time Dynamics
In this paper, we introduce a generalised formulation of the logistic map extended to the complex plane and correspondingly redefine the classical Mandelbrot and Julia sets within this broader framework.
Krzysztof Gdawiec, Muhammad Tanveer
doaj +1 more source
Abstract Monitoring ground surface displacement is critical for understanding geophysical processes and mitigating natural hazards, yet conventional Synthetic Aperture Radar (SAR) techniques are often limited by decorrelation, complex terrain, and heterogeneous motion.
Jinwoo Kim, Hying‐Sup Jung, Zhong Lu
wiley +1 more source
Rational External Rays of the Mandelbrot Set [PDF]
We give a new proof that all external rays of the Mandelbrot set at rational angles land, and of the relation between the external angle of such a ray and the dynamics at the landing point.
Dierk Schleicher
core
Homeomorphisms Between Limbs of the Mandelbrot Set [PDF]
Using a family of higher degree polynomials as a bridge, together with complex surgery techniques, we construct a homeomorphism between any two limbs of the Mandelbrot set of equal denominator.
Núria Fagella +3 more
core +1 more source
Self‐Affine Scaling of Earth's Islands
Abstract Earth's relief is approximately self‐affine, meaning a zoom‐in on a small region looks statistically similar to a large region upon rescaling. Fractional Brownian surfaces give an idealized self‐affine model of Earth's relief with one parameter, the Hurst exponent H $H$, characterizing the roughness of the surface.
Matthew Oline +4 more
wiley +1 more source

