Analysis, adaptive control and circuit simulation of a novel nonlinear finance system

Tacha, O. I.; Volos, Christos; Kyprianidis, I. Μ.; Stouboulos, I. N.; Vaidyanathan, Sundarapandian; Pham, Viet–Thanh

doi:10.1016/j.amc.2015.12.015

Cited by 81 publications

(35 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Chaotic systems have applications in several areas of science and engineering ([1]- [2]). Some common applications of chaos theory can be mentioned such as finance systems ( [3]- [6]), weather models ([7]- [9]), biological models ([10]- [13]), neural networks ( [14]- [16]), chemical reactions ( [17]- [20]), ecological models ( [21]- [23]), oscillations ( [24]- [30]), jerk systems ( [31]- [34]), encryption ( [35]- [38]), robotics ([39]- [40]), circuits ( [41]- [52]), etc.…”

Section: Introductionmentioning

confidence: 99%

A New Hamiltonian Chaotic System with Coexisting Chaotic Orbits and its Dynamical Analysis

Vaidyanathan

Sambas²,

Zhang

et al. 2018

IJET

View full text Add to dashboard Cite

Hamiltonian chaotic systems are conservative chaotic systems which arise in many applications in Classical Mechanics. A famous Hamiltonian chaotic system is the Hénon-Heiles system (1964), which was modeled by Hénon and Heiles, describing the nonlinear motion of a star around a galactic centre with the motion restricted to a plane. In this research work, by modifying the dynamics of the Hénon-Heiles system (1964), we obtain a new Hamiltonian chaotic system with coexisting chaotic orbits. We describe the dynamical properties of the new Hamiltonian chaotic system .

show abstract

Section: Introductionmentioning

confidence: 99%

A New Hamiltonian Chaotic System with Coexisting Chaotic Orbits and its Dynamical Analysis

Vaidyanathan

Sambas²,

Zhang

et al. 2018

IJET

View full text Add to dashboard Cite

show abstract

“…In 2001, the first chaotic finance system was introduced [25,26]. Then, some new chaotic finance systems were proposed [3,4,35]. Afterwards, a hyperchaotic finance system was shown [10].…”

Section: Introductionmentioning

confidence: 99%

Controlling Hyperchaotic Finance System with Combining Passive and Feedback Controllers

Kocamaz

Göksu

Uyaroğlu

et al. 2018

ITC

View full text Add to dashboard Cite

In this paper, a novel control method that combines passive, linear feedback, and dislocated feedback control methods is proposed and applied to the control of the four-dimensional hyperchaotic finance system which has been introduced and controlled with the linear feedback and speed feedback control methods by Yu, Cai, and Li (2012). The stability of the hyperchaotic finance system at its equilibrium points is ensured on the basis of a Lyapunov function. Computer simulations are used for verifying all the theoretical analyses visually. In the simulations, the proposed control method is also compared with the speed feedback and linear feedback control methods to observe its effectiveness. Finally, the comparative findings are discussed.

show abstract

“…Bifurcation diagram is very helpful for engineers to control dynamical systems to prevent or control bifurcations; e.g. [7,8]. Numerical and analytical methods are used for plotting this types of diagrams by machine and hand.…”

Section: Introductionmentioning

confidence: 99%

A Step-by-Step Algorithm for Plotting Local Bifurcation Diagram

Aghaei¹,

Daeichian²

2017

Journal of Nonlinear Analysis and Application

View full text Add to dashboard Cite

This paper proposes a graphically step-by-step algorithm for plotting local bifurcation diagram as well as determining stability or instability of all branches. The presented method which consists of eight steps, is effortlessly Applicable to the first and second order complex nonlinear systems. It provides a visual sense for engineers to analyze and design systems. The method is validated by applying on several different examples.

show abstract

Analysis, adaptive control and circuit simulation of a novel nonlinear finance system

Cited by 81 publications

References 22 publications

A New Hamiltonian Chaotic System with Coexisting Chaotic Orbits and its Dynamical Analysis

A New Hamiltonian Chaotic System with Coexisting Chaotic Orbits and its Dynamical Analysis

Controlling Hyperchaotic Finance System with Combining Passive and Feedback Controllers

A Step-by-Step Algorithm for Plotting Local Bifurcation Diagram

Contact Info

Product

Resources

About