Question

what is arnolds cat mapping

Answer 1

Arnold's cat map usually arise in physical models in which an operation is performed repeatedly. For
example, cards are mixed by repeated shuffles, paint is mixed by repeated stirs, water in a tidal basin is mixed by repeated tidal
changes, and so forth. Thus, we are interested in examining the effect on S of repeated applications (or iterations) of Arnold's cat
map. Figure 10.14.3, which was generated on a computer, shows the effect of 25 iterations of Arnold's cat map on the cat in the
unit square S. Two interesting phenomena occur:
• The cat returns to its original form at the 25th iteration.