Transient fractal behavior in snapshot attractors of driven chaotic systems

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

Volumn 60, Issue 2, 1999, Pages 1558-1562

  Lai, Ying Cheng ^a  

^a UNIVERSITY OF KANSAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0005154445     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.1558     Document Type: Article

References (17)

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12. We tested different choices of chaotic maps in Eqs. (1) and (2) such as two bidirectionally coupled nonidentical Ikeda-Hammel-Jones-Moloney maps and found similar results.
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14. L. M. PecoraT. L. CarrollPhys. Rev. A 44, 2374 (1991).
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16. There is a large amount of literature on coupled oscillators. Even an abbreviated list of references is prohibitively long. For a list of representative papers in optical, chemical, condensed matter, biological, neural network and other systems, see J. F. Heagy, T. L. Carroll, and L. M. Pecora, Phys. Rev. E 50, 1874 (1994).
17. For an N-dimensional autonomous flow, an (Formula presented)-dimensional Poincaré surface of section is typically invertible. However, returns maps of dimensions less than (Formula presented) constructed from the flow are typically noninvertible.