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Attractors

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Abstract

In this paper we investigate attractors that are extended in space, but where the internal dynamics is ignored.

The second author is supported by an NSF grant.

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References

  1. Bedford, E., Lyubich, M., Smillie, J., Polynomial diffeomorphisms IV, Invent. Math. 112 (1993), 77–125.

    Article  MathSciNet  MATH  Google Scholar 

  2. Benedicks, M., Carleson, L., The dynamics of the Henon map, Ann. Math. 133 (1991), 73–170.

    Article  MathSciNet  MATH  Google Scholar 

  3. Briend, J-Y., Duval, J., Exposants de Liapounoff et distribution des points periodiques d’un endomorphisme de ℂℙk, Acta Math. 182 (1999), 143–157.

    Article  MathSciNet  MATH  Google Scholar 

  4. Briend, J-Y., Duval, J., Deux caractérisations de la mesure d’equilibre d’un endomorphisme de ℙk(ℂ) preprint, 2000.

    Google Scholar 

  5. Fornæss, J.E., Gavosto, E.A., Existence of generic homoclinic tangencies for Hénon mappings, Journal of Geometric Analysis 2 (1992), 429–444.

    Article  MathSciNet  MATH  Google Scholar 

  6. Fornæss, J. E., Sibony, N., Complex dynamics in higher dimension II. Modern methods in complex analysis, Ann. Studies 137 (1995), 135–182.

    Google Scholar 

  7. Fornæss, J. E., Sibony, N., Dynamics of ℙ2(Examples), Stony Brook Conference on Laminations, Contemp. Math. 269 (2001), 47–86.

    Article  Google Scholar 

  8. Fornæss, J.E, Weickert, B., Attractors on ℙ2, several complex variables, (Berkeley, CA, 1995–1996), Cambridge Univ. Press, Cambridge, 297–307, 1999.

    Google Scholar 

  9. Hénon, M., A two dimensional mapping with a strange attractor. Comm. Math. Phys. 50 (1976), 69–77.

    Article  MathSciNet  MATH  Google Scholar 

  10. Jonsson, M., Weickert, B., A nonalgebraic attractor in ℙ2, Proc. Amer. Math. Soc. 128 (2000), 2999–3002.

    Article  MathSciNet  MATH  Google Scholar 

  11. Lorenz, E., Deterministic non-periodic flow, J. Atmos. Sci. 20 (1963), 130–141.

    Article  Google Scholar 

  12. Tucker, W., The Lorenz attractor exists, C. R. Acad. Sei. Paris Ser. I Math. 328 (1999), 1197–1202.

    Article  MATH  Google Scholar 

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© 2002 Springer-Verlag Berlin Heidelberg

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Bonifant, A.M., Fornæss, J.E. (2002). Attractors. In: Bauer, I., Catanese, F., Peternell, T., Kawamata, Y., Siu, YT. (eds) Complex Geometry. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56202-0_4

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  • DOI: https://doi.org/10.1007/978-3-642-56202-0_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62790-3

  • Online ISBN: 978-3-642-56202-0

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