Titlebook: Oscillations and Waves; in Linear and Nonlin M. I. Rabinovich,D. I. Trubetskov Book 1989 Kluwer Academic Publishers 1989 dynamics.electroma

參考書目

Periodic Self-Excited Oscillationsstable against both external disturbances and changes in the initial conditions. Systems which can generate such oscillations were called self-excited oscillating systems by A.A. Andronov [2] some 50 years ago. He was the first to define them rigorously mathematically by linking self-excited oscillations with limiting Poincare cycles [1].

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Oscillations in a System with Two Linked Oscillatorse energy, i.e., it is an interaction between them. Clearly, external resonance can be considered as a special case of internal resonance when the energy of one of the subsystems is infinite, in which case it ceases to be an interaction, and is rather the action of one subsystem upon the other.

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Oscillations in an Ensemble of Noninteracting Oscillatorsmple, in the analysis of the scattering of electromagnetic radiation in heated gases, in which the spread of molecular velocities results in Doppler shifts in the radiation’s frequencies with respect to the frequency of the field.

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Properties of Waves with Small Amplitudes in Continuous Media general physics courses, such as sound waves, and more specific ones, such as waves in the atmosphere and the oceans associated with the rotation of the Earth, internal waves in a stratified ocean, and ion-sound waves in anisothermal plasmas.