Complex dynamic behaviour in a linear third-order continuous system with hysteresis series

Abstract

This paper studies dynamic behaviour in a linear third-order continuous system with hysteresis series. The l-dimension (l-D) n-scroll chaos and l-D abnormal chaos can be obtained with one state variable is input to hysteresis series. Complicated limit-circle and 2-D multi-scroll chaos can be obtained when two state variables are input to hysteresis series