Fleischer S, Knauf A (2018)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2018
Publisher: Springer New York LLC
Book Volume: 231
Pages Range: 1781–1800
Journal Issue: 3
DOI: 10.1007/s00205-018-1309-2
Given a volume preserving dynamical system with non-compact phase space, one is sometimes interested in special subsets of its wandering set. One example from celestial mechanics is the set of initial values leading to collision. Another one is the set of initial values of semi-orbits, whose asymptotic velocity does not exist as a limit. We introduce techniques that can be helpful in showing that these sets are of measure zero. We do this by defining a sequence of hypersurfaces, that are eventually hit by each of those semi-orbits and whose total surface area decreases to zero.
APA:
Fleischer, S., & Knauf, A. (2018). Improbability of Wandering Orbits Passing Through a Sequence of Poincaré Surfaces of Decreasing Size. Archive for Rational Mechanics and Analysis, 231(3), 1781–1800. https://dx.doi.org/10.1007/s00205-018-1309-2
MLA:
Fleischer, Stefan, and Andreas Knauf. "Improbability of Wandering Orbits Passing Through a Sequence of Poincaré Surfaces of Decreasing Size." Archive for Rational Mechanics and Analysis 231.3 (2018): 1781–1800.
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