in this work, different types of chaotic 1-manifolds which lie on the chaotic spheres or on a torus are introduced. some types of retractions of the chaotic spheres affect on the 1-chaotic systems, and other types of retractions occur to the geometric manifold but make the 1-chaotic manifold invariant. the existed retractions are discussed through new proved theorems. also we construct diffe...

A new BAM model is presented that uses a chaotic output function operating in chaotic mode during recall. Our results show that the model develops well-defined attractor basins, with the result that our chaotic BAM is more tolerant to noise than a regular fixed point BAM. This is concluded from simulations that showed the superior performance of the new model when compared to the original BAM a...

A first-order delayed chaotic model with n-double scroll attractors is investigated. The associated piecewise-linear activation function requires only a few operational amplifiers, which can easily be realized by an electronic circuit. The typical waveforms and phase portraits are plotted to illustrate n-double scroll chaotic oscillations. Keywords—delay; chaotic attractor; n-double scroll; cir...