A novel visibility graph transformation of time series into weighted networks

P Xu, R Zhang, Y Deng - Chaos, Solitons & Fractals, 2018 - Elsevier
Analyzing time series from the perspective of complex network has interested many
scientists. In this paper, based on visibility graph theory a novel method of constructing …

Price dynamics of the financial markets using the stochastic differential equation for a potential double well

LS Lima, LLB Miranda - Physica A: Statistical Mechanics and its …, 2018 - Elsevier
We have used the Itô's stochastic differential equation for the double well with additive white
noise as a mathematical model for price dynamics of the financial market. We have …

Modeling of the financial market using the two-dimensional anisotropic Ising model

LS Lima - Physica A: Statistical Mechanics and its Applications, 2017 - Elsevier
We have used the two-dimensional classical anisotropic Ising model in an external field and
with an ion single anisotropy term as a mathematical model for the price dynamics of the …

Quantifying instabilities in financial markets

BA Gonçalves, L Carpi, OA Rosso, MG Ravetti… - Physica A: Statistical …, 2019 - Elsevier
Financial global crisis has devastating impacts to economies since early XX century and
continues to impose increasing collateral damages for governments, enterprises, and …

Characterizing fractal basin boundaries for planar switched systems

Y Zhang - Fractals, 2017 - World Scientific
This paper is to introduce some analytical tools to characterize the properties of fractal basin
boundaries for planar switched systems (with time-dependent switching). The characterizing …

Comparative analysis of grey detrended fluctuation analysis methods based on empirical research on China's interest rate market

G Cao, M Jiang, LY He - Physica A: Statistical Mechanics and Its …, 2018 - Elsevier
This study empirically compares the development of China's interest rate market in the past
decade. The yield of Shibor market from 2006 to 2016 showed anti-persistence, and the …

A novel weight determination method for time series data aggregation

P Xu, R Zhang, Y Deng - Physica A: Statistical Mechanics and its …, 2017 - Elsevier
Aggregation in time series is of great importance in time series smoothing, predicting and
other time series analysis process, which makes it crucial to address the weights in times …

Self-organizing three-dimensional Ising model of financial markets

WRS Guimaraes, LS Lima - Physical Review E, 2021 - APS
The three-dimensional Ising model in an external field is used as a mathematical model for
price dynamics of financials market. The model allows us to test within the same framework …