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Part of the book series: Springer Series Computational Physics ((SCIENTCOMP))

Abstract

Let us consider a dynamical system which depends on a parameter A:

$$\frac{{dX}}{{dt}} = F(X,A)$$
((4.1))

with specified initial conditions. Up until now, we have considered the parameter A to be fixed and independent of time t.

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References

  1. A. D. Wentzel, M. I. Freidlin: Fluctuations in Dynamic Systems—Effects of Small Random Perturbations. Nauka, Moscow, 1979 (in Russian).

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  2. M. Marek, M. Kubíček: Bull. of Math. Biology 43 (1981), 259–270.

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  3. P. Raschman: Masters Thesis, Prague Institute of Chemical Technology, Prague, 1979.

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  4. P. Raschman, M. Kubíček, M. Marek: Waves in distributed chemical systems: experiments and computations, in New Approaches to Nonlinear Problems in Dynamics, edited by P. J. Holmes. SIAM, Philadelphia, 1980. pp. 271–288.

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© 1983 Springer-Verlag New York Inc.

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Kubíček, M., Marek, M. (1983). Development of Quasi-stationary Patterns with Changing Parameter. In: Computational Methods in Bifurcation Theory and Dissipative Structures. Springer Series Computational Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85957-1_4

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  • DOI: https://doi.org/10.1007/978-3-642-85957-1_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-85959-5

  • Online ISBN: 978-3-642-85957-1

  • eBook Packages: Springer Book Archive

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