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Limit Cycle 
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#1
Mar2710, 10:44 PM

P: 779

http://books.google.ca/books?id=Pd8...ed=0CAkQ6AEwAA
Let ~ denote vector. For a fixed point. (~x0 is asymptotically stable if there exists a neighbourhood U of ~x0 such that if ~x(t) obeys Hamilton's equations and ~x(0) in U, then lim t>inf ~x(t) = ~x0.) can you give me a precise definition for periodic solutions (limit cycles) in this context? 


#2
Apr910, 06:42 AM

P: 336




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