The circle map in one and two dimensions is studied. Both its stability and synchronization , using a bounded control and persistence, are discussed. This work is expected to be applicable in ecology where spatial effects are known to be important. Also, it will be relevant to systems where delay effects are not negligible.

paratuberculosis (john’s disease) is infectious and chronically progressive granulomatous disease which affects domestic and wild ruminants. the causative agent is mycobacterium avium paratuberculosis (map), a slow growing mycobactin dependent acid-fast bacillus. we investigated the detection and frequency of map in apparently healthy dromedary and bactrian camels by insertion sequence 900 (is9...