A Modified Quadratic Lorenz Attractor in Geometric Multiplicative Calculus

Year 2023, Volume: 15 Issue: 2, 407 - 413, 31.12.2023

Bugce Eminaga Tatlicioglu

https://doi.org/10.47000/tjmcs.1249554

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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