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Physica D: Nonlinear Phenomena
Volumn 8, Issue 3, 1983, Pages 435-444
The infinite number of generalized dimensions of fractals and strange attractors
Author keywords

[No Author keywords available]
Indexed keywords

EID: 0346372923     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-2789(83)90235-X     Document Type: Article
Times cited : (1849)
References (24)
  • 3
    • 34250451946 scopus 로고
    • In fact it is only true for differmorphisms or continuous flows that the attractors are typically fractals.
    • (1971) Comm. Math. Phys. , vol.20 , pp. 167
    • Ruelle1    Takens2
  • 5
    • 0001640825 scopus 로고
    • Functional Differential Equations and Approximations of Fixed Points
    • H.-O. Peitgen, H.-O. Walther, Springer, Berlin
    • (1979) Lecture Notes in Math. , vol.730 , pp. 204
    • Kaplan1    Yorke2
  • 12
    • 84909567954 scopus 로고    scopus 로고
    • P. Grassberger and I. Procaccia, Physica D, in press.
  • 14
    • 84909567952 scopus 로고    scopus 로고
    • The limit b→0, N→∞ means in practical applications going to a cube size which is extremely small on the global scale but which is still large enough to ensure that cubes contain a large number of points.
  • 16
    • 84909567951 scopus 로고    scopus 로고
    • J.D. Farmer, E. Ott and J.A. Yorke, to appear in Physica D.
  • 17
    • 84909567950 scopus 로고    scopus 로고
    • The fact that generally speaking fractal measures lead to inequalities between exponents has been noted by Mandelbrot
  • 18
    • 84909575400 scopus 로고
    • q, q 〉 0, as they have some but not all the properties of dimensions. For this reason we refer to these as generalized dimensions.
    • (1974) J. Fluid Mech. , vol.62 , pp. 381
  • 21
    • 84909567949 scopus 로고    scopus 로고
    • d.
  • 24
    • 84909567948 scopus 로고    scopus 로고
    • J.D. Farmer, preprint.

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.