Oscillations in a System with Two Linked Oscillators

  • M. I. Rabinovich
  • D. I. Trubetskov
Part of the Mathematics and Its Applications (Soviet Series) book series (MASS, volume 50)


In the last chapter we looked at the phenomenon of resonance in its simplest form, namely external resonance in a linear oscillator. If the system is not that simple, for instance it has several degrees of freedom, another effect is possible. This is the effect of internal resonance, or the resonance between individual subsystems. We shall see how internal resonance between individual (we shall call them partial) subsystems allows them to exchange 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.


Normal Frequency Internal Resonance Resonance Curve Partial Frequency Dielectric Permeability 
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Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • M. I. Rabinovich
    • 1
  • D. I. Trubetskov
    • 2
  1. 1.Institute of Applied PhysicsAcademy of Sciences of the USSRGorkyUSSR
  2. 2.Saratov State UniversityUSSR

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