Question: How set up all parameter in equation to be exact constant?

In this system of differential equation i have two questions
1- i want find thus parameter containing in S[1] and S[2] to be 1 or -1 how find find all other parameter inside thus for finding that?

2-when equalibroium point are complex the conservative quantity not shown thus point ? why is not shown in  diagram there is trick which i don't know How i can show in global? 
L1.mw

finding each parameter to set the point be one like this picture

 

 

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