The Discrete hyperchaotic Double scroll

In th is pa per w e pre se n t a n d a n a ly z e a n e w pie c e w ise lin e a r m a p o f th e pla n e c a pa b le o f g e n e ra tin g ch a o tic a ttra c to rs w ith o n e a n d tw o sc ro lls. D u e to th e sh a pe o f th e a ttra c to r a n d its h y perch a o tic ity , w e c a ll it “ the discrete hyperchaotic double scroll.” It h a s th e sa m e n o n lin e a rity a s u se d in th e w e ll-k n o w n C h u a c irc u it. A rig o ro u s pro o f o f th e h y perch a o tic ity o f th is a ttra c to r is g iv e n a n d n u m e ric a lly ju stifi e d .