Abstract
We propose a new chaotic financial system by considering ethics involvement in a four-dimensional financial system with market confidence. We present a five-dimensional conformable derivative financial system by introducing conformable fractional calculus to the integer-order system. We propose a discretization scheme to calculate numerical solutions of conformable derivative systems. We illustrate the scheme by testing hyperchaos for the system.
Highlights
A hyperchaotic system is typically defined as a chaotic system with at least two positive Lyapunov exponents [1,2,3]
Li, and Zhang [17, 18] introduced investment incentive and market confidence to a nonlinear financial system to set up novel four-dimensional financial systems
We introduce the conformable derivative for the financial system with market confidence and ethics risk
Summary
A hyperchaotic system is typically defined as a chaotic system with at least two positive Lyapunov exponents [1,2,3]. Li, and Zhang [17, 18] introduced investment incentive and market confidence to a nonlinear financial system to set up novel four-dimensional financial systems Most of these are fractional-order hyperchaotic systems [19, 20]. We introduce the conformable derivative for the financial system with market confidence and ethics risk. 2, we present a conformable derivative hyperchaotic financial system with market confidence and ethics risk. We can obtain the following financial system accounting for both market confidence and ethics risk:. Proposed the discretization process of system (10), but it was unsuitable for the following form obtained by introducing completely piecewise constant arguments to Eq (8): Tαx(t) = fxthh. Remark 2 The conformable discretization by piecewise constant approximation well coincides with the conformable Euler method [75]
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