On Bohl’s argument theorem
The classical Bohl argument theorem of a conditionally periodic function is generalized. Conditionally periodic motions on a torus are replaced by the solutions of a nonlinear system of differential equations with invariant measure. Cases in which this system is assumed ergodic or strictly ergodic are considered.
KeywordsBohl’s argument theorem conditionally periodic motion on the n-dimensional torus (strictly) ergodic system of differential equations uniformly distributed function Birkhoff-Khinchine ergodic theorem
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