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Ideal Free Distribution in Two Patches
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KeyWord:Ideal free distribution  population dynamics  competition  patch model  evolutionarily stable strategy
Author NameAffiliation
Yuan Lou Department of Mathematics, Ohio State University, Columbus, OH 43210, USA 
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      In this paper, the formats of Julia sets for a class of nonlinear complex dynamic systems with variable coefficients were studied under certain conditions. For the complex dynamic systems in piecewise cases, we proposed some methods to control the forms of their Julia sets and stable domains analytically. What’s more, we illustrated that our methods worked well by computational simulations. Our work provides a better understanding about how to control the Julia sets of certain complex dynamic systems.