Characterizing riddled fractal sets

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 53, Issue 2, 1996, Pages 1371-1374

  Lai, Ying Cheng ^a   Grebogi, Celso ^b  

^a UNIVERSITY OF KANSAS   (United States)

^b University of Maryland   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000961358     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.53.1371     Document Type: Article

References (19)

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16. We choose to study the sign scaling behavior of the maximum Lyapunov exponent because it characterizes the nature of the asymptotic attractors (chaotic versus nonchaotic). Other physical quantities that are defined with respect to the riddled fractal sets, which change sign on fine scales, can exhibit the sign-singular scaling behavior and thus can also be used to characterize the riddled fractals.
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