Periodic orbits of renormalisation for the correlations of strange nonchaotic attractors

Mathematical Physics Electronic Journal

Volumn 6, Issue , 2000, Pages 1-29

  Mestel, B D ^a   Osbaldestin, A H ^b  

^a UNIVERSITY OF EXETER   (United Kingdom)

^b LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 15944380077     PISSN: 10866655     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

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4. C. Grebogi, E. Ott, S. Pelikan, and J. A. Yorke, Strange attractors that are not chaotic, Physica D 13 (1984), 261-268.
5. J. A. Ketoja and I. I. Satija, Self-similarity and localization, Phys. Rev. Lett. 75 (1995), 2762-2765.
6. -, Harper equation, the dissipative standard map and strange nonchaotic attractors: Relationship between an eigenvalue problem and iterated maps, Physica D 109 (1997), 70-80.
7. S. P. Kuznetsov, A. S. Pikovsky, and U. Feudel, Birth of a strange nonchaotic attractor: A renormalization group analysis, Phys. Rev. E 51 (1995), R1629-R1632.
8. B. D. Mestel, A. H. Osbaldestin, and B. Winn, Golden mean renormalisation for the Harper equation: the strong coupling fixed point, to appear in J. Math. Phys. 2000.
9. A. S. Pikovsky and U. Feudel, Correlations and spectra of strange non-chaotic attractors, J. Phys. A 27 (1994), 5209-5219.