A novel 2D-grid of scroll chaotic attractor generated by CNN

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Abstract

The complex grid of scroll chaotic attractors that are generated through nonlinear electronic circuits have been raised considerably over the last decades. In this paper, it is shown that a subclass of Cellular Nonlinear Networks (CNNs) allows us to generate complex dynamics and chaos in symmetry pattern. A novel grid of scroll chaotic attractor, based on a new system, shows symmetry scrolls about the origin. Also, the equilibrium points are located in a manner such that the symmetry about the line x = y has been achieved. The complex dynamics of system can be generated using CNNs, which in turn are derived from a CNN array (1 × 3) cells. The paper concerns on the design and implementation of 2 × 2 and 3 × 3 2D-grid of scroll via the CNN model. Theoretical analysis and numerical simulations of the derived model are included. The simulation results reveal that the grid of scroll attractors can be successfully reproduced using PSpice.

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Ali, A. M., Ramadhan, S. M., & Tahir, F. R. (2019). A novel 2D-grid of scroll chaotic attractor generated by CNN. Symmetry, 11(1). https://doi.org/10.3390/sym11010099

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