Реферат: Nonlinear multi-wave coupling and resonance in elastic structures

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[1] The small parameter can also characterize an amount of small damped forced and/or parametric excitation, etc.

[2] The discrete part of the spectrum can be represented as a sum of delta-functions, i.e. .

[3] The resonance appears in the system as that corresponds to any integer number of quarters of wavelengths. There is no stationary solution in the form of standing waves in this case, though the resonant solution for longitudinal waves can be simply designed using the d'Alambert approach.

[4] The conservation of quasi-periodic orbits represents a forthcoming mathematical problem in mathematics, which is in progress up to now [4].

[5] Practically, the resonant properties should be directly associated with the order of the approximation procedure. For instance, if the first-order approximation is considered, then the resonances in order have to be neglected.

[6] In applied problems the definition of resonance should be directly associated with the order of the approximation procedure. For instance, if the first-order approximation is considered, then the jupms of of order have to be neglected [9].