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Systems of Differential Equations That are Competitive or Cooperative. IV: Structural Stability in Three-Dimensional Systems
Morris W. Hirsch
Source abstract
It is shown that among three-dimensional systems that are competitive or cooperative, those satisfying the generic Kupka–Smale conditions also satisfy the Morse–Smale conditions and are therefore structurally stable. This identifies a new and easily recognizable class of systems approximable by structurally stable systems.
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