On positive braids motivated by Rossler dynamical system.

Rossler positive braids are defined and denoted by R m + . We represented a general form of Rossler positive braid, and its associated permutation. For the m period Rossler positive braid R m + , the number of crossing equals to [ 2 ( m - 2 ) + ( m - 1 ) ] , and the genus g ( R m + ) = ( m - 2 ) , it also has a braid index equals to m , m > 1 . [ABSTRACT FROM AUTHOR]