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Fractal “box-within-a-box” Bifurcation Structure

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Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 399))

Abstract

The “box-within-a-box” (or “embedded boxes”) bifurcation structure is a typical fractal arrangement of a set of bifurcation points located in the parameter space of a given dynamic system. It is recalled that a bifurcation is a qualitative change of this system under the effect of variation of its parameters.

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References

  1. Mira C. “Chaotic Dynamics. From the one-dimensional endomorphism to the two-dimensional diffeomorphism” World Scientific, 1987 (450 pages).

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  2. Myrberg P.J. “Iteration der reellen Polynome zweiten Grades” Ann. Acad. Sci. Fenn. ser. A, 336 (1963), 1–10.

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  3. Gumowski I. & Mira C. “Dynamique Chaotique. Transition ordre-désordre” Cépaduès (Toulouse), 1980, (480 pages).

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  4. Gumowski I. & Mira C. “Accumulations de bifurcations dans une récurrence” C.R. Acad. Sc. Paris, série A, 281 (1975), 45–48.

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  5. Mira C. “Dynamique complexe engendrée par une récurrence continue, linéaire par morceaux, du premier ordre” C.R. Acad. Sc. Paris, série A, 285 (1977), 731–734.

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© 1993 Springer-Verlag Berlin Heidelberg

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Mira, C. (1993). Fractal “box-within-a-box” Bifurcation Structure. In: Gori, F., Geronazzo, L., Galeotti, M. (eds) Nonlinear Dynamics in Economics and Social Sciences. Lecture Notes in Economics and Mathematical Systems, vol 399. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58031-4_3

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  • DOI: https://doi.org/10.1007/978-3-642-58031-4_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56704-2

  • Online ISBN: 978-3-642-58031-4

  • eBook Packages: Springer Book Archive

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