A new four-dimensional system containing chaotic or hyper-chaotic attractors with no equilibrium, a line of equilibria and unstable equilibria

In this paper, a new multi-character dynamical system is proposed. It has chaotic and hyper-chaotic attractors without any equilibrium, with a line of equilibria or with unstable equilibrium. It means that the proposed system can change its characteristic by varying its parameters. This system shows multistability between different attractors such as quasi-periodic and chaotic attractors, quasi-periodic and periodic attractors, two periodic attractors and also two chaotic attractors. (C) 2018 Elsevier Ltd. All rights reserved.