Lagrange Stability.¶
Millionshchikov, V. M. Lagrange Stability. Encyclopedia of Mathematics.
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Domain-specific¶
- Lagrange Stability
- The motion is forward Lagrange stable when \(\overline{O^+(x)}\) is compact, backward Lagrange stable when \(\overline{O^-(x)}\) is compact, and two-sided Lagrange stable when \(\overline{O(x)}\) is compact.
This sourceDefines the property by containment of a trajectory in a precompact set, distinguishes positive and negative time, gives Euclidean boundedness equivalence, and states the compact-minimal-set consequence. <https://encyclopediaofmath.org/wiki/Lagrange_stability>.
- The motion is forward Lagrange stable when \(\overline{O^+(x)}\) is compact, backward Lagrange stable when \(\overline{O^-(x)}\) is compact, and two-sided Lagrange stable when \(\overline{O(x)}\) is compact.
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