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Volumn 36, Issue 11, 1987, Pages 5365-5380

Critical exponents for crisis-induced intermittency

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EID: 24544478068     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.36.5365     Document Type: Article
Times cited : (540)

References (35)
  • 23
    • 84926800338 scopus 로고    scopus 로고
    • J. A. Yorke, DYNAMICS_, a program for IBM PC clones for interactive study of dynamics.
  • 27
    • 48749145669 scopus 로고
    • In obtaining an estimate for μ (r), one might be tempted to use the scaling which follows from application of the pointwise dimension equated to the Lyapunov-number formula for the information dimension of the chaotic attractor [cf., ]. The result would be Eq. (2) but with α1 and α2 incorrectly replaced by the Lyapunov numbers of the attractor. The resolution of this apparent disagreement is that the pointwise dimension is equal to the attractor's information dimension for almost all points with respect to the attractor measure. However, points on the outer edge of the attractor are exceptional in that they are part of the measure zero set for which the pointwise and information dimensions are not equal.
    • (1983) Physica , vol.7 D , pp. 153
    • Farmer, J.D.1    Ott, E.2    Yorke, J.A.3
  • 34
    • 0000498246 scopus 로고
    • For a smooth, nonfractal basin boundary all boundary points are accessible from the basin. For fractal basin boundaries of dissipative invertible two-dimensional maps the boundary points accessible from the basin are a relatively small subset of all the basin boundary points in the following sense: A line intersecting the basin boundary typically contains a countable infinity of accessible boundary points and an uncountable infinity of inaccessible boundary points
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 1011
    • Grebogi, C.1    Ott, E.2    Yorke, J.A.3
  • 35
    • 45949126663 scopus 로고
    • There are commonly an infinite number of inaccessible periodic orbits with different periods in a fractal basin boundary.
    • (1987) Physica , vol.25 D , pp. 243
    • Grebogi, C.1    Ott, E.2    Yorke, J.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.