Acta Metallurgica Sinica (English Letters) ›› 1999, Vol. 12 ›› Issue (5): 1234-1236.

• Research paper • Previous Articles    

FAREY SEQUENCE OF NONLINEAR DIFFERENTIAL DYNAMIC SYSTEM IN TWO DIMENSIONS

H. Q. Jin and S. N. Xu Shenyang Institute of Technology , Shenyang 110015 , China   

  • Received:1999-10-25 Revised:1999-10-25 Online:1999-10-25 Published:2009-10-10

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Abstract: In this paper , through the discrim ination of Farey sequence in the forced Brusselator withweak coupling , it is proved that there is a topological translation fro m a nonlinear differen tial system ( limit cycle) to the circle m ap .

Key words: non - linearity , Farey sequence , phase lock , chaos

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