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  Diversity-stability relationship is quite a hot but controversial topic for long time.While people imvestigating it,by either constructing models or designing experiments,definitions and measurement of stability are always important problems.Multiplicity of stability definitions have been are also important because of the complex ity of ecological systems.One can belive that biomace fluctustions do not always mean bad ecosystem functioning if they are driven by its local deterministic dynsmics not environment perturbstions,so nonequilibrium does not suggest instability,For nonequilibrium attractor,we demonstrate the validity of sampling and measurement nethod of nomequilibrium stsbility and resilience through reconstructing phase space,and give an example of a competitors heteroclinic cycle system to describe this method.It can not distinguish between stability and instability using this method,but can just compare two or more ecosystems to estimate which is more stable,that is quite useful in divensity-stability investigations.……   
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