<p>With regard to chaotic system with multi-scroll chaotic attractors in multiple directions, the circuit complexity and the size of electronic components of its circuit implementation raise with the increase of the direction and quantity of scrolls. For reducing the complexity of circuit implementation of multi-scroll chaotic attractors, we came up a novel chaotic system with two-directional (2-D) grid multi-scroll chaotic attractors, and its nonlinear term is a quasi-sine function (QSF), which is multiplication of a gate function and a sine function. The circuit implementation of QSF is much simpler compared to other nonlinear functions used in existing chaotic systems. The dynamical properties of Lyapunov exponents, equilibrium points, phase portraits and bifurcation diagrams were discussed. Based on the analyses of dynamical characteristics, the electronic circuits of the novel chaotic system through Multisim software, and the circuit simulation results have good consistency with the numerical ones. Especially, the effectiveness and feasibility of the chaotic system are confirmed through hardware circuits, and its circuit complexity is not affected by the quantity of scrolls, which is easily regulated through changing the width of the gate function used in the QSF.</p>

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A novel chaotic system with 2-D grid multi-scroll chaotic attractors through quasi-sine function

  • Pengfei Ding,
  • Zixuan Wang,
  • Ke Li,
  • Le Yang

摘要

With regard to chaotic system with multi-scroll chaotic attractors in multiple directions, the circuit complexity and the size of electronic components of its circuit implementation raise with the increase of the direction and quantity of scrolls. For reducing the complexity of circuit implementation of multi-scroll chaotic attractors, we came up a novel chaotic system with two-directional (2-D) grid multi-scroll chaotic attractors, and its nonlinear term is a quasi-sine function (QSF), which is multiplication of a gate function and a sine function. The circuit implementation of QSF is much simpler compared to other nonlinear functions used in existing chaotic systems. The dynamical properties of Lyapunov exponents, equilibrium points, phase portraits and bifurcation diagrams were discussed. Based on the analyses of dynamical characteristics, the electronic circuits of the novel chaotic system through Multisim software, and the circuit simulation results have good consistency with the numerical ones. Especially, the effectiveness and feasibility of the chaotic system are confirmed through hardware circuits, and its circuit complexity is not affected by the quantity of scrolls, which is easily regulated through changing the width of the gate function used in the QSF.