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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References and Related Literature
References
Churchill, R. V., Fourier Series and Boundary Value Problems, McGraw-Hill, New York (1941).
Besicovitch, A. S., Almost Periodic Functions, Dover, New York (1954).
Arscott, F. M., Periodic Differential Equations, Macmillan, New York (1964).
Moon, F. C, Chaotic Vibrations, John Wiley & Sons, New York (1987).
Vidyasagar, M., Nonlinear Systems Analysis, Prentice-Hall, Englewood Cliffs, New Jersey (1978).
Whitaker, E. T., A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, Cambridge University Press, London (1964).
Stern, Thomas E., Theory of Nonlinear Networks and Systems—An Introduction, Addison-Wesley, Reading, Massachusetts (1965).
Davis, H. T., Introduction to Nonlinear Differential and Integral Equations, Dover, New York (1962).
Moulton, F. R., An Introduction to Celestial Mechanics, 2nd Rev. Ed., Macmillan, New York (1914).
Ince, E. L., Ordinary Differential Equations, Dover, New York (1956).
Langill, A. W., Jr., Automatic Control System Engineering, Vol. II, Prentice-Hall, Englewood Cliffs, New Jersey (1965).
Ku, Y. H., Analysis and Control of Nonlinear Systems, Ronald Press, New York (1958).
Nemytskii V. V., and Stepanov, V. V., Qualitative Theory of Differential Equations, Dover, New York (1989).
Erdelyi, A., Asymptotic Expansions, Dover, New York (1956).
Related Literature
Truxal, John G., Automatic Feedback Control System Synthesis, McGraw-Hill, New York (1955).
DeRusso, Paul M., Roy, Rob J., and Close, Charles M., State Variables for Engineers, John Wiley & Sons, New York (1965).
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1992 Van Nostrand Reinhold
About this chapter
Cite this chapter
Kolk, W.R., Lerman, R.A. (1992). Some Properties of Nonlinear Systems. In: Nonlinear System Dynamics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-6494-8_6
Download citation
DOI: https://doi.org/10.1007/978-1-4684-6494-8_6
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-6496-2
Online ISBN: 978-1-4684-6494-8
eBook Packages: Springer Book Archive