Normal Form Perturbation Analysis of Non: Autonomous Oscillatory Systems

Peter B. Kahn, Yair Zarmi

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


A perturbation analysis, using the method of normal forms, is applied to non-autonomous oscillatory systems described by equations in which the perturbation has an explicit periodic time dependence. The method is demonstrated on two examples: An equation encountered in circular particle accelerators and the equations for the density matrix elements in NMR. The effect of the small nonlinear perturbations as well as of resonance between the natural frequency of the unperturbed system and the periodic forcing terms is analyzed.
Original languageEnglish
Title of host publicationDynamical Systems And Applications
Editors R P Agarwal
Place of PublicationSingapore
PublisherWorld Scientific
Number of pages16
StatePublished - 1995


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