Article ID Journal Published Year Pages File Type
1896932 Chaos, Solitons & Fractals 2006 11 Pages PDF
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
, , , ,