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Fractal Basin Boundaries with Unique Dimensiona

1987; Wiley; Volume: 497; Issue: 1 Linguagem: Inglês

10.1111/j.1749-6632.1987.tb48717.x

1749-6632

Celso Grebogi, Edward Ott, James A. Yorke, Helena E. Nusse,

Quantum chaos and dynamical systems

Annals of the New York Academy of SciencesVolume 497, Issue 1 p. 117-126 Fractal Basin Boundaries with Unique Dimensiona CELSO GREBOGI, CELSO GREBOGI Laboratory for Plasma and Fusion Energy Studies University of Maryland College Park, Maryland 20742Search for more papers by this authorEDWARD OTT, EDWARD OTT Laboratory for Plasma and Fusion Energy Studies University of Maryland College Park, Maryland 20742 Departments of Physics and Electrical Engineering University of Maryland College Park, Maryland 20742Search for more papers by this authorJAMES A. YORKE, JAMES A. YORKE Institute for Physical Science and Technology University of Maryland College Park, Maryland 20742 Department of Mathematics University of Maryland College Park, Maryland 20742Search for more papers by this authorHELENA E. NUSSE, HELENA E. NUSSE State University of Groningen Groningen, the NetherlandsSearch for more papers by this author CELSO GREBOGI, CELSO GREBOGI Laboratory for Plasma and Fusion Energy Studies University of Maryland College Park, Maryland 20742Search for more papers by this authorEDWARD OTT, EDWARD OTT Laboratory for Plasma and Fusion Energy Studies University of Maryland College Park, Maryland 20742 Departments of Physics and Electrical Engineering University of Maryland College Park, Maryland 20742Search for more papers by this authorJAMES A. YORKE, JAMES A. YORKE Institute for Physical Science and Technology University of Maryland College Park, Maryland 20742 Department of Mathematics University of Maryland College Park, Maryland 20742Search for more papers by this authorHELENA E. NUSSE, HELENA E. NUSSE State University of Groningen Groningen, the NetherlandsSearch for more papers by this author First published: May 1987 https://doi.org/10.1111/j.1749-6632.1987.tb48717.xCitations: 8 a This work was supported by DARPA under ACMP, the U.S. Department of Energy, Office of Basic Energy Sciences (Applied Mathematics Program), and by the Office of Naval Research. AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat REFERENCES 1 Grebogi, C., S. W. McDonald, E. Ott & J. A. Yorke. 1983. Phys. Lett. 99A: 415. 2 McDonald, S. W., C. Grebogi, E. Ott & J. A. Yorke. 1985. Physica 17D: 125. 3 Mira, C. 1979. C. R. Acad. Sci. Paris 288A: 591; Grebogi, C., E. Ott & J. A. Yorke. 1983. Phys. Rev. Lett.50: 935; Holt, R. G. & I. B. Schwartz. 1984. Phys. Lett.105A: 327; Schwartz, I. B. 1984. Phys. Lett.106A.-339; Schwartz, I. B. 1985. J. Math. Biol.21: 347; Takesue, S. &, K. Kaneko. 1984. Prog. Theor. Phys.71: 35; Decroly, O. &, A. Goldbeter. 1984. Phys. Lett.105A: 259; Moon, F. C. & G-X. Li. 1985. Phys. Rev. Lett.55: 1439; Gwinn, E. G. & R. M. Westervelt 1985. Phys. Rev. Lett.54: 1613; Gwinn, E. G. & R. M. Westervelt. 1986. Phys. Rev.A33: 4143; Iansiti, M., Q. Hu, R. M. Westervelt & M. Tinkham. 1985. Phys. Rev. Lett.55:746; Yamaguchi, Y. & N. Mishima. 1985. Phys. Lett.109A: 196; Napiorkowski, M. 1985. Phys. Lett.113A: 111; Arecchi. F. T., R. Badh &, A. Politi. 1985. Phys. Rev.A32: 402; McDonald, S. W., C. Grebogi, E. Ott & J. A. Yorke. 1985. Phys. Lett.107A: 51; Grebogi, C., E. Ott & J. A. Yorke. 1986. Phys. Rev. Lett.56: 1011. 4 Grebogi, C., E. Kostelich, E. Ott & J. A. Yorke. Physica D. To be published. 5 Pelikan, S. 1985. Trans. Am. Math. Soc. 292: 695. This paper treats a one-dimensional map example and shows that db - du. 6 Newhouse, S. 1979. Publ. Math. IHES 50: 101. 7 For example, see: Devaney, R. L. 1986. An Introduction to Chaotic Dynamical Systems, p. 34–42. Benjamin. New York . 8 Ibid., p. 178–184. 9 Grebogi, C., H. E. Nusse, E. Ott & J. A. Yorke. Physica D. To be published. Citing Literature Volume497, Issue1Chaotic Phenomena in AstrophysicsMay 1987Pages 117-126 ReferencesRelatedInformation