4.3 Article

Constructing multiwing attractors from a robust chaotic system with non-hyperbolic equilibrium points

Journal

AUTOMATIKA
Volume 59, Issue 2, Pages 184-193

Publisher

KOREMA
DOI: 10.1080/00051144.2018.1516273

Keywords

Multiwing attractor; complex dynamical behaviour; digital signal processor

Funding

  1. NNSF of China [11475060]
  2. Research Foundation of Education Bureau of Hunan Province of China [16B113]
  3. China Postdoctoral Science Foundation [2016M590745]
  4. Science and Technology Program of Hunan Province [2016TP1021]
  5. Hunan Provincial Natural Science Foundation of China [2016JJ4036]

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We investigate a three-dimensional (3D) robust chaotic system which only holds two non-hyperbolic equilibrium points, and finds the complex dynamical behaviour of position modulation beyond amplitude modulation. To extend the application of this chaotic system, we initiate a novel methodology to construct multiwing chaotic attractors by modifying the position and amplitude parameters. Moreover, the signal amplitude, range and distance of the generated multiwings can be easily adjusted by using the control parameters, which enable us to enhance the potential application in chaotic cryptography and secure communication. The effectiveness of the theoretical analyses is confirmed by numerical simulations. Particularly, the multiwing attractor is physically realized by using DSP (digital signal processor) chip.

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