A family of hyperchaotic multi-scroll attractors in Rn

作者：

Highlights：

• A mechanism of constructing a family of hyperchaotic multiscroll attractors in Rn is proposed based on unstable dissipative systems.

• This type of attractors arises from a switching system having at least two hyperbolic unstable equilibrium points.

• Different approaches as hysteresis and step function are described by a unified theory given by unstable dissipative systems.

• An illustrative example of synchronizing a communication system is given based on the developed theory.

摘要

•A mechanism of constructing a family of hyperchaotic multiscroll attractors in Rn is proposed based on unstable dissipative systems.•This type of attractors arises from a switching system having at least two hyperbolic unstable equilibrium points.•Different approaches as hysteresis and step function are described by a unified theory given by unstable dissipative systems.•An illustrative example of synchronizing a communication system is given based on the developed theory.

论文关键词：Switched systems,Piecewise-linear techniques,Chaos theory,Switching functions,System design,Piecewise-linear analysis,Multi-scroll attractors

论文评审过程：Available online 4 March 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.01.134