Necessary and sufficient condition for Lorenz knots to be closed under satellite construction

Chaos, Solitons and Fractals

Volumn 10, Issue 1, 1999, Pages 137-146

  El Rifai, E A ^a  

^a Mansoura University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS;

LORENZ KNOTS; LORENZ LINKS;

DIFFERENTIAL EQUATIONS;

EID: 0032630425     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(98)00053-8     Document Type: Article

References (9)

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3. Williams, R. F., Lorenz knots are prime. Ergod. Th. and Dynam. Sys., 1983, 4, 147-163.
4. El-Rifai, E. A., Positive braids and Lorenz links. Ph.D. Thesis, Liverpool University, 1988.
5. El-Rifai, E. A., Morton, H. R., Algorithm for positive braids. Quart. J. Math. Oxford (2), 1994, 45, 479-497.
6. El-Rifai, E. A., Ahmed, E., Knotted periodic orbits in Rossler's equations. J. Math. Phys., 1995, 36, 2.
7. Birman, J., Braids, links and mapping class groups. Ann. Math. Stud., 1974, 82.
8. Rolfsen, D., Knots and Links. Publish or Perish Inc., U.S.A., 1976.
9. Armstrong, M. A., Basic topology, Undergraduate texts in mathematics. Springer-Verlag, New York, 1983.