Systems of Differential Equations That are Competitive or Cooperative. IV: Structural Stability in Three-Dimensional Systems
- 1 September 1990
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 21 (5), 1225-1234
- https://doi.org/10.1137/0521067
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.Keywords
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