Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896932 | Chaos, Solitons & Fractals | 2006 | 11 Pages |
Abstract
This paper further investigates the dynamical behaviours of a hysteresis-based system. The multi-scroll chaotic attractors can be generated from a given three-dimensional (3D) linear system via a hysteresis series controller. The equilibrium points, stability, symmetry, limit cycles, and periodic windows of the general 3D hysteresis-based system are discussed. In particular, the controlled system has different dynamical behaviours for different hysteresis controllers. Numerical simulations show the abundant dynamical behaviours of the hysteresis-based systems.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Fengling Han, Jinhu Lü, Xinghuo Yu, Guanrong Chen,