4.3 Article

Dynamic analyses, FPGA implementation and engineering applications of multi-butterfly chaotic attractors generated from generalised Sprott C system

Journal

PRAMANA-JOURNAL OF PHYSICS
Volume 90, Issue 1, Pages -

Publisher

INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-017-1493-x

Keywords

Multi-butterfly chaotic attractors; generalised Sprott C system; non-hyperbolic equilibria; Lyapunov exponents; field programmable gate array implementation; electronic circuit realisation; random number generator

Funding

  1. National Natural Science Foundation of China [61603137, 61603127]
  2. Jiangxi Natural Science Foundation of China [20171BAB212016]
  3. China Scholarship Council [201609795001]
  4. Sakarya University Scientific Research Projects Unit [2016-09-00-008, 2016-50-01-026]

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This paper considers the generation of multi-butterfly chaotic attractors from a generalised Sprott C system with multiple non-hyperbolic equilibria. The system is constructed by introducing an additional variable whose derivative has a switching function to the Sprott C system. It is numerically found that the system creates two-, three-, four-, five-butterfly attractors and any other multi-butterfly attractors. First, the dynamic analyses of multi-butterfly chaotic attractors are presented. Secondly, the field programmable gate array implementation, electronic circuit realisation and random number generator are done with the multi-butterfly chaotic attractors.

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