Nonlinear dynamics and chaos theory have been used in neurophysiology with the aim to
understand the complex brain activity from electroencephalographic (EEG) signals …

Mandelbrot is best appreciated for his broad attempt to describe irregular shapes in nature.
He founded fractal geometry in 1975. Subsequently the whole fractal theory developed …

In this paper, we empirically show the dynamics of daily wavelet-filtered (denoised) S&P 500
returns (2000–2020) to consist of an almost equally divided combination of stochastic and …

We describe an efficient algorithm which computes the Gaussian kernel correlation integral
from noisy time series; this is subsequently used to estimate the underlying correlation …

Abstract Yilmaz et al.(Fluct. Noise Lett. 17, 1830002, 2018) investigated the stochastic
phenomenological bifurcations of a generalized Chua circuit driven by Skew-Gaussian …

Julia sets are considered one of the most attractive fractals and have wide range of
applications in science and engineering. The strong physical meaning of Mandelbrot and …

A new approach to dynamic noise on superior Mandelbrot set - ScienceDirect Skip to main
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This article aimed to identify the effects of a robotic walker on gait dynamics during assisted
walking via the analysis of acceleration data. Walking experiments were conducted with 11 …

Adopting the experimental mathematics method combining complex variable function theory
with computer aided drawing, this paper researches on the structural characteristic and the …

In this paper strong evidence is provided for significant far from equilibrium phase transition
processes in the Earth's magnetosphere as revealed by the nonlinear analysis of in situ …