A Modified Quadratic Lorenz attractor
Dynamical Systems
2015-08-28 v1 Chaotic Dynamics
Abstract
This study introduces a modified quadratic Lorenz attractor. The properties of this new chaotic system are analysed and discussed in detail, by determining the equilibria points, the eigenvalues of the Jacobian, and the Lyapunov exponents. The numerical simulations, the time series analysis, and the projections to the -plane, -plane, and -plane are conducted to highlight the chaotic behaviour. The multiplicative form of the new system is also presented and the simulations are conducted using multiplicative Runge-Kutta methods.
Keywords
Cite
@article{arxiv.1508.06840,
title = {A Modified Quadratic Lorenz attractor},
author = {Buğçe Eminağa and Hatice Aktöre and Mustafa Riza},
journal= {arXiv preprint arXiv:1508.06840},
year = {2015}
}