Abstract: Abstract A system has exactly one equilibrium point, n limit cycles and no other periodic solutions. Explain why an asymptotically stable limit cycle must be adjacent to unstable limit cycles, but an unstable limit cycle may have stable or unstable cycles adjacent to it. Let cn be the number of possible configurations, with respect to stability, of n nested limit cycles. By considering the path directions across each of the suggested topographic systems show that in each of the cases given there exists a limit cycle. Locate the region in which a limit cycle might exist as closely as possible. Show that in each case only one limit cycle exists:
Publication Year: 2007
Publication Date: 2007-08-23
Language: en
Type: book-chapter
Indexed In: ['crossref']
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