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  "body": "\n## Summary\n\nA Morse–Smale system is a smooth dynamical system whose non-wandering set consists of finitely many hyperbolic periodic orbits, with stable and unstable manifolds meeting transversally.\nThese are the dynamical systems with the simplest possible recurrent behaviour.\nThey are [[structurally stable|D4MGFAHVMT]], and on a compact manifold they have zero topological entropy.\nThe gradient flow of a [[Morse function|KPQ96640ZJ]] for a generic metric is Morse–Smale, which links them to Morse theory and Morse homology.\n\n## Explanations\n\n### L1 human\n\nThink of water flowing on a landscape with finitely many peaks, passes and pits.\nEvery drop starts at one of these rest points and ends at another.\nA Morse–Smale system is a motion of this kind.\nAll its rest points and periodic orbits are of the clean, non-degenerate type, and the paths between them cross in general position.\nFor example, on a round sphere, the flow from the north pole down to the south pole is Morse–Smale.\nSee the [[definition|10B1TS96VA]].\n",
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