A hyperchaotic cycloid map with attractor topology sensitive to system parameters.

We propose herein a novel discrete hyperchaotic map based on the mathematical model of a cycloid, which produces multistability and infinite equilibrium points. Numerical analysis is carried out by means of attractors, bifurcation diagrams, Lyapunov exponents, and spectral entropy complexity. Experimental results show that this cycloid map has rich dynamical characteristics including hyperchaos, various bifurcation types, and high complexity.

ZnCl2-catalyzed chemoselective cascade reactions of enaminones with 2-furylcarbinols: a versatile process for the synthesis of cyclopenta[b]pyrrole derivatives.

A highly efficient ZnCl2-catalyzed cascade reaction of enaminones with 2-furylcarbinols under mild reaction conditions has been developed. This methodology offers a chemo- and diastereo-selective access to functionalized cyclopenta[b]pyrrole derivatives in good to excellent yields.