0-1 Test for Chaos in a Fractional Order Financial System with Investment Incentive

A new chaotic financial system is proposed by considering ethics involvement in a fourdimensional financial system with market confidence. A five-dimensional conformable derivative financial system is presented by introducing conformable fractional calculus to the integerorder system. A discretization scheme is proposed to calculate numerical solutions of conformable derivative systems. The scheme is illustrated by testing hyperchaos for the system. among interest rates, investments, prices, and savings. Chen [12] presented a fractional form of nonlinear financial system. Wang, Huang and Shen [13] established an uncertain fractional-order form of the financial system. Mircea et al. [14] set up a delayed form of the financial system. Xin, Chen, and Ma [15] proposed a discrete form of financial system. Yu, Cai, and Li [16] extended the

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“…Fractional-order economic systems [18,[76][77][78][79][80] can generalize its integer-order forms [17,81].…”

Section: A Conformable Derivative Hyperchaotic Financial System With mentioning

confidence: 99%

Modeling, discretization, and hyperchaos detection of conformable derivative approach to a financial system with market confidence and ethics risk

et al. 2019

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“…Among them, Adams-Bashforth-Moulton (ABM) predictor-corrector approach has the merits of high precision and good stability, which was developed by Diethelm and other researchers [18,25,26] and successfully applied to many systems, such as [12,14,19,27]. We take a fractional differential equation with initial conditions:…”

Section: Predictor-corrector Approach For Fractional Order Calculusmentioning

confidence: 99%

A Fractional Supervision Game Model of Multiple Stakeholders and Numerical Simulation

Lu¹,

Wang²,

Dan³

2017

Mathematical Problems in Engineering

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Considering the popular use of a certain kind of supervision management problem in many fields, we firstly build an ordinary supervision game model of multiple stakeholders. Secondly, a fractional supervision game model is set up and solved based on the theory of fractional calculus and a predictor-corrector numerical approach. Thirdly, the methods of phase diagram and time series graph were applied to simulate and analyse the dynamic process of the fractional order game model. Results of numerical solutions are given to illustrate our conclusions and referred to the practice.

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“…We can formulate the 0-1 test algorithm [16][17][18][19][20][21] as follows. Suppose φ(n) is a discrete set of measurement data sampled at times n = 1, 2, 3, · · · , N, where N is the total amount of the data.…”

Section: -1 Test Algorithm For Chaosmentioning

confidence: 99%

Neimark–Sacker Bifurcation Analysis and 0–1 Chaos Test of an Interactions Model between Industrial Production and Environmental Quality in a Closed Area

Xin

2015

Sustainability

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A discrete-time model is presented to describe the complex interaction between industrial production and environmental quality in a closed area. Its Neimark-Sacker bifurcation and chaos are discussed based on Wen's explicit Neimark-Sacker bifurcation criterion, Kuznetsov's normal form method and center manifold theory and Gottwald and Melbourne's 0-1 test algorithm. Numerical simulations are employed to validate the main results of this work.

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0-1 Test for Chaos in a Fractional Order Financial System with Investment Incentive

Cited by 38 publications

References 44 publications

Modeling, discretization, and hyperchaos detection of conformable derivative approach to a financial system with market confidence and ethics risk

Modeling, discretization, and hyperchaos detection of conformable derivative approach to a financial system with market confidence and ethics risk

A Fractional Supervision Game Model of Multiple Stakeholders and Numerical Simulation

Neimark–Sacker Bifurcation Analysis and 0–1 Chaos Test of an Interactions Model between Industrial Production and Environmental Quality in a Closed Area

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