A novel chaotification scheme for fractional system and its application

作者：

Highlights：

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• A new method for chaotifying the fractional order nonlinear systems is proposed.

• Fractional operator lying in (1, 2) has the negative damping instability effect.

• Three critical orders are introduced to distinguish different complex dynamics.

摘要

•A new method for chaotifying the fractional order nonlinear systems is proposed.•Fractional operator lying in (1, 2) has the negative damping instability effect.•Three critical orders are introduced to distinguish different complex dynamics.

论文关键词：26A33,34H10,37D45,Fractional calculus,Chaotification,Lorenz system,Coexisting attractors

论文评审过程：Received 27 April 2017, Revised 22 August 2017, Available online 14 October 2017, Version of Record 18 April 2018.

论文官网地址：https://doi.org/10.1016/j.cam.2017.10.008