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Titlebook: Elements of the Mathematical Theory of Multi-Frequency Oscillations; A. M. Samoilenko Book 1991 Springer Science+Business Media Dordrecht

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https://doi.org/10.1007/978-88-470-5744-9re . ∈.(.), will be called an .-dimensional . times continuously differentiable invariant torus of system (1.1). For . = 0 an invariant manifold of system (1.1) of the form (1.2) will be called an invariant torus of this system.
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Manual to Veterinary Video-Oto-Endoscopye .(α = 1,…, .). The set of all such functions forms a linear space which we denote by .(.).This space can be turned into a complete normed space by introducing the norm. where . is the Euclidean norm in the space ℝ. of the function .(.).
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Periodic and quasi-periodic functions,e .(α = 1,…, .). The set of all such functions forms a linear space which we denote by .(.).This space can be turned into a complete normed space by introducing the norm. where . is the Euclidean norm in the space ℝ. of the function .(.).
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https://doi.org/10.1007/978-88-470-1605-7. This deals with the invariant surface.of the system of equations .the right hand side of which is defined, continuous in ., . in the domain.and periodic in . (. = 1,…, .) with period 2π. The study of system (1.2) is complicated by the fact that the functions a and . are non-linear with respect to
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978-94-010-5557-4Springer Science+Business Media Dordrecht 1991
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