Nonlinear dynamics and chaos in a fractional-order financial system

WC Chen - Chaos, Solitons & Fractals, 2008 - Elsevier
This study examines the two most attractive characteristics, memory and chaos, in
simulations of financial systems. A fractional-order financial system is proposed in this study …

[HTML][HTML] Analysis of nonlinear dynamics and chaos in a fractional order financial system with time delay

Z Wang, X Huang, G Shi - Computers & Mathematics with Applications, 2011 - Elsevier
In this paper, a delayed fractional order financial system is proposed and the complex
dynamical behaviors of such a system are discussed by numerical simulations. A great …

Rules for fractional-dynamic generalizations: Difficulties of constructing fractional dynamic models

VE Tarasov - Mathematics, 2019 - mdpi.com
This article is a review of problems and difficulties arising in the construction of fractional-
dynamic analogs of standard models by using fractional calculus. These fractional …

Intelligent parameter identification and prediction of variable time fractional derivative and application in a symmetric chaotic financial system

B Wang, J Liu, MO Alassafi, FE Alsaadi… - Chaos, Solitons & …, 2022 - Elsevier
Identifying parameters of financial and economic models with chaotic dynamics is an
important, yet daunting challenge because of the complexities there exist in these chaotic …

Dynamic analysis and control of a new hyperchaotic finance system

H Yu, G Cai, Y Li - Nonlinear Dynamics, 2012 - Springer
In this paper, a new hyperchaotic finance system which is constructed based on a chaotic
finance system by adding an additional state variable is presented. The basic dynamical …

Control of a fractional-order economical system via sliding mode

S Dadras, HR Momeni - Physica A: Statistical Mechanics and its …, 2010 - Elsevier
This paper deals with designing a sliding mode controller (SMC) for a fractional-order
chaotic financial system. Using the sliding mode control technique, a sliding surface is …

Chaos and Hopf bifurcation of a finance system

Q Gao, J Ma - Nonlinear Dynamics, 2009 - Springer
The complex dynamical behavior of a finance system is investigated in this paper. The
Ruelle–Takens route to chaos and strange nonchaotic attractors (SNA) are found through …

[图书][B] Синергетические эффекты в современной экономике: введение в проблематику

АА Мясников - 2010 - books.google.com
Настоящая монография посвящена исследованию нерегулярных явлений в экономике,
которое проводится на основе применения методов и представлений синергетики …

Control of an uncertain fractional order economic system via adaptive sliding mode

Z Wang, X Huang, H Shen - Neurocomputing, 2012 - Elsevier
This paper addresses the design of sliding mode controller (SMC) for an uncertain chaotic
fractional order economic system. A new fraction-integer integral switching surface is …

Computational analysis of financial system through non-integer derivative

ZU Rehman, S Boulaaras, R Jan, I Ahmad… - Journal of …, 2024 - Elsevier
The context-specific meaning of finance includes, among other things, increasing support for
social goals, developing skills, increased education, economic health, and fairness. To put it …