A New Category of Three-Dimensional Chaotic Flows with
Identical Eigenvalues
Zahra Faghani and Fahimeh Nazarimehr
Biomedical Engineering Department,
Amirkabir University of Technology,
Tehran 15875-4413, Iran
Sajad Jafari∗
Nonlinear Systems and Applications,
Faculty of Electrical and Electronics Engineering,
Ton Duc Thang University, Ho Chi Minh City, Vietnam
sajad.jafari@tdtu.edu.vn
Julien C. Sprott
Department of Physics, University of Wisconsin,
Madison, WI 53706, USA
Received March 8, 2019; Revised June 24, 2019
In this paper, some new three-dimensional
chaotic systems are proposed. The special property of these
autonomous systems is their identical eigenvalues. The systems
are designed based on the general form of quadratic jerk systems
with 10 terms, and some systems with stable equilibria. Using a
systematic computer search, 12 simple chaotic systems with
identical eigenvalues were found. We believe that systems with
identical eigenvalues are described here for the first time.
These simple systems are listed in this paper, and their
dynamical properties are investigated.
Ref: Z. Faghani, F. Nazarimehr, S. Jafari, and J. C. Sprott,
International Journal of Bifurcation and Chaos 30, 2050026-1-9 (2020)