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On the bifurcation between a chaotic area of TK and a chaotic area of T

Part of the Lecture Notes in Mathematics book series (LNM,volume 1163)

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References

  1. Gumowski, I., Mira C.: Solutions chaotiques bornées d'une récurrence, ou transformation poncutelle du 2ème ordre à inverse non unique, C.R. Acad. Sci., Paris, t.285, série A, pp.477–480 (1977).

    MathSciNet  MATH  Google Scholar 

  2. Gumowski, I., Mira, C.: Dynamique Chaotique, Transformation Ponctuelle, Transition ordre-désordre, Editions Cépadues, Toulouse, (March 1980).

    Google Scholar 

  3. Mira, C.: Complex dynamics in two-dimensional endormophisms, Nonlinear Analysis, vol.4, no6, pp.1167–1187 (1980).

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Barugola, A.: Détermination de la frontière d'une "zone absorbante" relative à une récurrence du deuxième ordre, à inverse non unique, C.R. Acad. Sci., Paris, t.290, séire B, pp.257–260 (1980).

    MathSciNet  MATH  Google Scholar 

  5. Cathala, J.C.: Détermination de zones absorbantes et chaotiques pour un endomorphisme d'ordre duex, Actes du Colloque sur la théorie de l'Itération et ses applications (Toulouse, 17–22 Mai 1982), pp.91–98, Editions du C.N.R.S., Paris (1982).

    Google Scholar 

  6. Cathala, J.C.: Absorptive area and chaotic area in two-dimensional endomorphisms, Nonlinear Analysis, vol.7, no2, pp.147–160 (1983).

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Barugola, A.: Lignes critiques et zones absorbantes pour une récurrence du second ordre à inverse non unique, Actes du Colloque sur la théorie de l'Itération et ses applications (Toulouse, 17–22 Mai 1982), pp.83–89, Editions du C.N.R.S., Paris (1982).

    Google Scholar 

  8. Barugola, A.: Quelques propriétés des lignes critiques d'une récurrence du second ordre à inverse non unique. Détermination d'une zone absorbante, RAIRO, Numérical Analysis, vol.18, no2, pp.137–151 (1984).

    MathSciNet  MATH  Google Scholar 

  9. Barugola, A.: On some properties of an absorptive area and a chaotic area for an R2-Endomorphism, Communication to this Symposium.

    Google Scholar 

  10. Gumowski, I., Mira, C.: Bifurcation déstabilisant une solution chaotique d'un endomorphisme du deuxième ordre, C.R.Acad. Sci., Paris, t.286, série A, pp.427–430 (1978).

    MathSciNet  MATH  Google Scholar 

  11. Bernussou, J.: Point mapping stability, Pergamon Press (1977).

    Google Scholar 

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© 1985 Springer-Verlag

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Cathala, J.C. (1985). On the bifurcation between a chaotic area of TK and a chaotic area of T. In: Liedl, R., Reich, L., Targonski, G. (eds) Iteration Theory and its Functional Equations. Lecture Notes in Mathematics, vol 1163. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076413

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  • DOI: https://doi.org/10.1007/BFb0076413

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