A Modified Quadratic Lorenz Attractor in Geometric Multiplicative Calculus

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Turkish Journal of Mathematics and Computer Science
Volume:15 Issue:2
A Modified Quadratic Lorenz Attractor in Geometric Multiplicative Calculus

A Modified Quadratic Lorenz Attractor in Geometric Multiplicative Calculus

Authors : Bugce Eminaga Tatlicioglu

Pages : 407-413

Doi:10.47000/tjmcs.1249554

View : 32 | Download : 41

Publication Date : 2023-12-31

Article Type : Research Paper

Abstract :In this study the modified quadratic Lorenz attractor is introduced in geometric multiplicative calculus. The new system is analyzed and discussed for the chaotic behaviour in detail. The equilibria points, the eigenvalues of the multiplicative Jacobian, and the Lyapunov exponents are determined. The numerical simulations are conducted using the Runge-Kutta method in the framework of geometric multiplicative calculus highlighting the chaotic behaviour.
Keywords : Chaos, dynamical system, multiplicative calculus

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