MULTI GRID CHAOTIC ATTRACTORS WITH DISCRETE JUMPS

Tomáš Gotthans – Zdeněk Hruboš

   In this paper the discrete step functions are used in order to generate m$\times$n scroll chaotic hypercube attractors. The design and realization of multi-scroll attractors depends on synthesizing the nonlinearity with an electrical circuit. The essence of the novel approach is in designing the transfer function with analog to digital converters connected directly without any microcomputer, instead of using standard comparator or hysteresis methods. Therefore there is no special need for synthesizing the nonlinearity towards m × n scroll chaotic attractors. The approach is verified with PSpice 16.0 circuit simulator and experimentally measured.

Keywords: multi grid scrolls, chaos, dynamical systems, integrator synthesis, digital converters

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