Abstract
Consider a dynamical system given by a locally compact metric space X and a continuous map T: X → X. A point in X is wandering if it admits a neighborhood that is disjoint from all of its iterates.
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With many a weary step, and many a groan,
Up the high hill he heaves a huge round stone;
The huge round stone, resulting with a bound,
Thunders impetuous down, and smokes along the ground.
Again the restless orb his toil renews,
Dust mounts in clouds, and sweat descends in dews.
Homer
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References
Shub, M.: Global Stability of Dynamical Systems. Springer, New York (1987)
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© 2016 Springer-Verlag London
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Coudène, Y. (2016). Nonwandering. In: Ergodic Theory and Dynamical Systems. Universitext. Springer, London. https://doi.org/10.1007/978-1-4471-7287-1_6
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DOI: https://doi.org/10.1007/978-1-4471-7287-1_6
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Online ISBN: 978-1-4471-7287-1
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