Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-04T18:56:04.391Z Has data issue: false hasContentIssue false
  • English
  • Français

Fractional harmonics in a plasma

Published online by Cambridge University Press:  13 March 2009

G. J. Lewak  and
H. J. Lee
G. J. Lewak
Affiliation:
Department of Applied Physics and Information Science, University of California, San Diego
H. J. Lee
Affiliation:
Institute for Pure and Applied Physical Sciences,University of California, San Diego
Get access Rights & Permissions [Opens in a new window]

Extract

The most common approach to the study of plasma nonlinearities is by a form of perturbation theory which first studies the linearized equations, then evaluates effects of nonlinearities in terms of these linear solutions. Such an approach is probably justifiable for the effect of weak nonlinearities, but will almost certainly miss features that are exclusively nonlinear in nature (i.e. effects which cannot be described by modifying linear theory, or effects which are present only when e.g. a source of disturbances in a plasma reaches a certain threshold amplitude). It is the object of this paper to investigate one possible such nonlinear effect.

Type
Research Article
Information
Journal of Plasma Physics , Volume 11 , Issue 2 , April 1974 , pp. 325 - 329
Copyright
Copyright © Cambridge University Press 1974

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Bogoliubov, N. N. & Mitropolsky, Y. A. 1961 Asymptotic methods in the Theory of Non. linear Oscillations. Delhi: Hindustan.Google Scholar
Hayashi, C. 1964 Nonlinear Oscillations in Physical Systems. McGraw-Hill.Google Scholar
Lewak, G. J. 1969 J. Plasma Phys. 3, 243.CrossRefGoogle Scholar
Lewak, G. J. & Ogunlana, J. 1972 J. Plasma Phys. 7, 207.CrossRefGoogle Scholar
Manheimer, W. M. 1971 Phys. Rev. 3, 1402.CrossRefGoogle Scholar
Minorsky, N. 1962 Nonlinear Oscillations. Van Nostrand.Google Scholar
Tsytovich, V. N. 1970 Nonlinear Effects in Plasma (trans. Wood, J. S., ed. S. M. Hamberger). Plenum.CrossRefGoogle Scholar