Eur. Phys. J. Special Topics 229, 905-919 (2020)
https://doi.org/10.1140/epjst/e2020-900239-2

Review

Chaotic flows with special equilibria

¹ Shaanxi Engineering Research Center of Controllable Neutron Source, School of Science, Xijing University, Xi’an 710123, P.R. China
² School of Mathematics and Physics, China University of Geosciences, Hubei, Wuhan 430074, P.R. China
³ School of Physics and Electronics, Central South University, 410083 Changsha, P.R. China
⁴ School of Information Science and Engineering, Changzhou University, Changzhou 213164, P.R. China

^a e-mail: williamwangz@gmail.com

Received: 29 October 2019
Received in final form: 30 November 2019
Published online: 26 March 2020

Abstract

In this review, we categorize chaotic systems with special properties in their equilibrium into eight groups: Systems with no equilibrium (NE), systems with stable equilibrium (SE), systems with line equilibrium (LE), systems with curve equilibrium (CE), systems with plane equilibrium (PE), systems with surface equilibrium (ES), systems with unstable equilibrium (US), and systems which belong to more than one of the above categories (Chameleon systems). We introduce the pioneer works from each group. Also, we review some recent important papers related to those groups.