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Some Properties of Nonlinear Systems

  • W. Richard Kolk
  • Robert A. Lerman

Abstract

Nonlinear systems are modeled by use of nonlinear differential equations. More often than not, these equations do not admit to closed-form analytic solutions. Furthermore, many that do are not in terms of the elementary functions.

Keywords

Nonlinear System Periodic Solution Singular Point Phase Plane Nonlinear System Dynamic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References and Related Literature

References

  1. 1.
    Churchill, R. V., Fourier Series and Boundary Value Problems, McGraw-Hill, New York (1941).Google Scholar
  2. 2.
    Besicovitch, A. S., Almost Periodic Functions, Dover, New York (1954).Google Scholar
  3. 3.
    Arscott, F. M., Periodic Differential Equations, Macmillan, New York (1964).MATHGoogle Scholar
  4. 4.
    Moon, F. C, Chaotic Vibrations, John Wiley & Sons, New York (1987).MATHGoogle Scholar
  5. 5.
    Vidyasagar, M., Nonlinear Systems Analysis, Prentice-Hall, Englewood Cliffs, New Jersey (1978).Google Scholar
  6. 6.
    Whitaker, E. T., A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, Cambridge University Press, London (1964).Google Scholar
  7. 7.
    Stern, Thomas E., Theory of Nonlinear Networks and Systems—An Introduction, Addison-Wesley, Reading, Massachusetts (1965).MATHGoogle Scholar
  8. 8.
    Davis, H. T., Introduction to Nonlinear Differential and Integral Equations, Dover, New York (1962).MATHGoogle Scholar
  9. 9.
    Moulton, F. R., An Introduction to Celestial Mechanics, 2nd Rev. Ed., Macmillan, New York (1914).Google Scholar
  10. 10.
    Ince, E. L., Ordinary Differential Equations, Dover, New York (1956).Google Scholar
  11. 11.
    Langill, A. W., Jr., Automatic Control System Engineering, Vol. II, Prentice-Hall, Englewood Cliffs, New Jersey (1965).Google Scholar
  12. 12.
    Ku, Y. H., Analysis and Control of Nonlinear Systems, Ronald Press, New York (1958).MATHGoogle Scholar
  13. 13.
    Nemytskii V. V., and Stepanov, V. V., Qualitative Theory of Differential Equations, Dover, New York (1989).Google Scholar
  14. 14.
    Erdelyi, A., Asymptotic Expansions, Dover, New York (1956).MATHGoogle Scholar

Related Literature

  1. 1.
    Truxal, John G., Automatic Feedback Control System Synthesis, McGraw-Hill, New York (1955).Google Scholar
  2. 2.
    DeRusso, Paul M., Roy, Rob J., and Close, Charles M., State Variables for Engineers, John Wiley & Sons, New York (1965).Google Scholar

Copyright information

© Van Nostrand Reinhold 1992

Authors and Affiliations

  • W. Richard Kolk
    • 1
  • Robert A. Lerman
    • 2
  1. 1.PortlandUSA
  2. 2.West HartfordUSA

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