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On weak non-linearity of models of physical systems. (English) Zbl 0373.34028

MSC:

34D20 Stability of solutions to ordinary differential equations
34A99 General theory for ordinary differential equations
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References:

[1] D. Mayer: Numerical steady-state of weakly nonlinear systems with periodic inputs. Acta Technica ČSAV, 1977, No. 3.
[2] D. Mayer: Formulating state equations of electric networks by a simple method. Acta Technica ČSAV, 1975, No. 3, 275-300. · Zbl 0306.94025
[3] N. Balabanian T. A. Bickart: Electrical Network Theory. New York, J. Willey, 1969. · Zbl 0195.46501
[4] D. Mayer: An Introduction to the Theory of Electric Networks. Praha, SNTL, 1978
[5] Ph. Hartmann: Ordinary Differential Equations. New York, J. Wiley, 1964.
[6] Z. Kotek S. Kubík M. Razím: Non-Linear Dynamical Systems. Praha, SNTL, 1973
[7] M. lkeda S. Kodama: Large-Scale Dynamical Systems: State Equations, Lipschitz Conditions, and Linearization. IEEE Transaction on Circuit Theory, Vol. CT-20, No. 3, 1973, 193 - 202.
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