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Nov 18, 2017 at 17:05 comment added Hu xiyu In this case you can consider the heat equation $\partial_t u(z,t)=\Delta u(z,t)$. If the number of the limit cycle change, it must be the time to pass a singularity. and take $t=\infty$, the dynamic system coverage to a very simlpe one and in particular it do not have limit cycle. So we need only look at the moments passing singularity.
Nov 16, 2017 at 10:44 vote accept M.G.
Nov 15, 2017 at 16:46 answer added Loïc Teyssier timeline score: 5
Nov 15, 2017 at 14:09 answer added Alexandre Eremenko timeline score: 3
Nov 15, 2017 at 12:10 history edited M.G. CC BY-SA 3.0
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Nov 15, 2017 at 12:04 history asked M.G. CC BY-SA 3.0