The cylinder manifold piecewise linear system: Analysis and implementation

Abstract

This paper presents a novel autonomous chaotic system defined by a second-order piecewise linear system on the cylinder-type phase space and hysteresis switching. This system can generate super-expanding chaos characterized by a very large positive Lyapunov exponent. Using the piecewise linear one-dimensional return map, the chaos generation is guaranteed theoretically. Presenting a simple test circuit, typical phenomena are confirmed experimentally.