Controllable V-Shape Multi-Scroll Butterfly Attractor: System and Circuit Implementation

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Mohamed Zidan, et al., "Controllable V-shape multiscroll butterfly attractor: system and circuit implementation." International Journal of Bifurcation and Chaos 22 (06), 2012, 1250143.

In this paper, a new controllable V-shape multiscroll attractor is presented, where a variety of symmetrical and unsymmetrical attractors with a variable number of scrolls can be controlled using new staircase nonlinear function and the parameters of the system. This attractor can be used to generate random signals with a variety of symbol distribution. Digital implementation of the proposed generator is also presented using a Xilinx Virtex® 4 Field Programmable Gate Array and experimental results are provided. The digital realization easily fits into a small area (<1.5% of the total area) and expresses a high throughput (4.3 Gbit/sec per state variable).