Singular Homoclinic Orbits and Limit Cycles in Positive Second Order Slow-Fast Systems
Received:May 14, 2001  
Key Words: homoclinic orbit   limit cycle   singular perturbation   slow manifold.  
Fund Project:Supported by Natural Science Foundation of Anhui Education Committee (2000J1008)
Author NameAffiliation
XIAO Jian Dept. of Math.
Auhui University
Hefei
China 
SHENG Li-ren Dept. of Math.
Auhui University
Hefei
China 
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Abstract:
      In the paper we consider a wide class of slow-fast second order systems and give sufficient conditions for the existence of a singular limit cycle related to a homoclinic orbit.
Citation:
DOI:10.3770/j.issn:1000-341X.2004.01.009
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