Abstract
1. The motion of a point x, y on a torus T is called almost periodic if
where λ is an irrational constant, and x and y are coordinates on the torus, such that (x + k, y + l) and (x, y) are the same point T. Let us consider the family of neighboring differential equations
where a and ε are parameters and f(x, y) is an analytic function.
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Bibliography
V. I. Arnol'd, Izv. Akad. Nauk SSSR. Sere Mat. 25 (1961), 21.
A. N. Kolmogorov, Dokl. Akad. Nauk SSSR 98 (1954), 527.
H. Poincare; Curves defined by differential equations, Moscow, 1947, chapter 15.
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(2009). Generation of almost periodic motion from a family of periodic motions. In: Givental, A., et al. Collected Works. Vladimir I. Arnold - Collected Works, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01742-1_12
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DOI: https://doi.org/10.1007/978-3-642-01742-1_12
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