From Quasi-periodic Functions to Recurrent Motions
2017; Springer International Publishing; Linguagem: Inglês
10.1007/978-3-319-55239-2_13
ISSN2215-0064
Autores Tópico(s)Quantum chaos and dynamical systems
ResumoIn radio engineering devices, the existence of oscillations possessing at least two unmeasurable frequencies had therefore led Krylov and Bogolyubov to consider the representation of the solutions to the differential equations characterizing this kind of phenomena by quasi-periodic functions. These functions, discovered a few years before by Livonian mathematician Piers Bohl (1865–1921) had been the subject of many works, in Copenhagen by Danish mathematician Harald Bohr (1887–1951) by Salomon Bochner (1899–1982), in the Soviet Union by Abram Besicovitch (1891–1970), Aleksandr Kovanko (1893–1975), Andrei Markov (1856–1922), Lev Pontryagin (1908–1988) and Viacheslav Stepanov (1889–1950), in Germany by Hermann Weyl (1885–1955) and in France by a whole line of Astronomers, such as Ernest Esclangon (1876–1954)Esclangon (1876–1954), Pierre Fatou (1878–1929), Jean Favard (1902–1965) then Hervé Fabre (1905–1995), and Mathematicians such as Arnaud DenjoyDenjoy (1884–1974) (1884–1974), Jean Chazy (1882–1955) and Jacques HadamardHadamard (1865–1963) (1865–1963).
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