The Zaslavskii map arose from consideration of the problem of a dissipative kicked rotor; it exhibits chaotic behavior. It is claimed to be the simplest problem producing a strange attractor. The approach described involves the so-called action-angle variables of Hamiltonian dynamics (in which frequencies can be obtained without actually solving the equations of motion).
[3] G. Hanchinamani and L. Kulakarni, "Image Encryption Based on 2-D Zaslavskii Chaotic Map and Pseudo Hadmard Transform," International Journal of Hybrid Information Technology, 7(4), 2014 pp. 185–200. www.sersc.org/journals/IJHIT/vol7_no4_ 2014/16.pdf.