eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences December 2008 20 3 807 810 jusps-B 1409 article Dynamical systems for metric spaces Bharathi K. 1 Shabbir A. (shabirshahir@yahoo.co.in) 1 Department of Mathematics, Gulbarga, University, Gulbarga (INDIA) <p style="text-align: justify;">The present paper is an extension work of the Barnsley<sup>1</sup> and Devaney<sup>3</sup>. We introduce Poincare and Shift maps, furthermore we establish and proved some theorems for topological sensitivity and global stability.</p> https://ultraphysicalsciences.org/paper/1409/ Global stability Metric spaces Poincare map AMS mathematical subject classification 45 B10.