Skip to main content

ΜΑΘΗΜΑΤΙΚΑ. — Characteristic Properties of Linear and Nonlinear Systems

  • Chapter
Selected Papers of Demetrios G. Magiros
  • 109 Accesses

Abstract

In two previous papers (published in : Practica of Athens Academy, June 1976; and as GE Reports: (a) 76SDRO26, 6/28/76; and b) 76SDRO27, 7/1/76, we examined exact and approximate methods of linearization of nonlinear systems.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. N. Bogoliubov and Y. Mitropolsky, «Asymptotic method in the theory of nonlinear oscillations», Hindustan Publishing Corp., India, Delhi. 6 (1961), pp. 267–280.

    Google Scholar 

  2. F. Clauser, «The behavior of nonlinear systems», J. of the Aeronautical Sciences (May 1956), pp. 411–434.

    Google Scholar 

  3. H. Cohen, «On subharmonic synchronization of nearly linear systems», Quart. Appl. Math., Vol. XIII (April 1955), pp. 102–105.

    Google Scholar 

  4. J. Hale and J. La Salle, «Differential equations: linearity vs. nonlinearity», SIAM Review, Vol. 5 (July 1963), pp. 249–273.

    Article  MATH  MathSciNet  Google Scholar 

  5. S. Lundqwist, «Subharmonic oscillations in a nonlinear system with positive damping», Quart. Appl. Math., Vol. XIII (Oct. 1955), pp. 305–310.

    Google Scholar 

  6. D. Magiros, (a) «Subharmonics of any order of nonlinear systems of one degree of freedom: Application to subharmonics of order 1/3», J. Information and Control, Vol. 1, No. 3 (September 1958), pp. 198–227. (b) «On a problem of nonlinear mechanics», J. Information and Control, Vol. 2, No. 3 (September 1959), pp. 297–309.

    Article  MATH  MathSciNet  Google Scholar 

  7. N. McLachlan, «Ordinary nonlinear differential equations», 2nd edition, Oxford (1955). (a) pp. 130–131, (b) p. 196.

    Google Scholar 

  8. N. Minorsky, «Nonlinear oscillations», D. Van Nostrand Co., New York (1962), pp. 72–73.

    MATH  Google Scholar 

  9. V. Pliss, «Nonlocal problems of the theory of oscillations», Acad. Press, New York (1966), pp. 219–227.

    MATH  Google Scholar 

  10. J. Stoker, «Nonlinear vibrations», Interscience Publishers, Inc., New York (1950), (a) pp. 20–23, (b) pp. 94–96, (c) pp. 112–114.

    MATH  Google Scholar 

  11. N. Bautin, «On a Certain Differential Equation Having a Limit Cycle», Gorkij Physico-Technical Institute of the University (1937). pp. 229–243.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1985 D. Reidel Publishing Company, Dordrecht, Holland

About this chapter

Cite this chapter

Magiros, D.G. (1985). ΜΑΘΗΜΑΤΙΚΑ. — Characteristic Properties of Linear and Nonlinear Systems. In: Tzafestas, S.G. (eds) Selected Papers of Demetrios G. Magiros. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5368-0_10

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-5368-0_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8869-5

  • Online ISBN: 978-94-009-5368-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics