The number of limit cycles for a family of polynomial systems

✍ Scribed by Guanghui Xiang; Maoan Han; Tonghua Zhang

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 441 KB
• Volume: 49
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2005.02.007

✦ Synopsis

In thin paper~ the number of hmlt cycles m a family of polynomial systems was studmd by the bifurcation methods With the help of a computer algebra system (e.g., MAPLE 7 0), we obtain that the least upper bound for the number of hmlt cycles appearing m a global bifurcation of systems (2.1) and ( 2.2) is 5n ÷ 5 + (1 -(-1)~)/2 for c ¢ 0 and n for c ~ 0. (~) 2005 Elsewer Ltd All rights reserved.