On perturbations of the Mandelbrot map

Chaos, solitons and fractals

Volumn 11, Issue 7, 2000, Pages 1131-1136

  Argyris, John ^a   Andreadis, Ioannis ^a   Karakasidis, Theodoros E ^b  

^a Univ S   (Germany)

^b UNIVERSITY OF THESSALY   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

FRACTALS; PERTURBATION TECHNIQUES; RANDOM PROCESSES;

MANDELBROT MAPS;

CHAOS THEORY;

EID: 0033896027     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(99)00017-X     Document Type: Article

References (12)

1. Peinke J., Parisi J., Röhricht B., Rössler O.E. Instability of the Mandelbrot set. Z. Naturforsch. 42A:1986;263-266.
2. Peinke J., Parisi J., Röhricht B., Rössler O.E. Smooth decomposition of generalized Fatou set explains smooth structure in generalized Mandelbrot set. Z. Naturforsch. 43A:1987;14-16.
3. Klein M. Mandelbrot set in a non-analytic map. Z. Naturforsch. 43A:1988;819-820.
4. Grassberger P. Noise-induced escape from attractors. J. Phys. A. 22:1989;3283-3290.
5. Parisi J., Peinke J., Klein M., Rössler O.E., Kahlert C. Fractal boundaries, analyticity and generating mechanism. Peitgen H.-O., Henriques J.M., Pendo L.F. Fractals in the Fundamental and Applied Science. 1991;329-337 Elsevier, New York.
6. Argyris J., Andreadis I., Pavlos G., Athanasiou M. On the influence of noise on the correlation dimension of chaotic attractors. Chaos. 9:1998;343-361.
7. Argyris J., Faust G., Haase M. An Exploration of Chaos. 1994;North-Holland, Elsevier, Amsterdam.
8. Peitgen H.O., Richter P.H. The Beauty of Fractals. 1986;Springer, Berlin.
9. Hermann D. Algorithmen für Chaos und Fracktale. 1994;Addison-Wesley, Berlin.
10. P. L'Ecuyer, Efficient and portable combined random number generator, Commun. of the ACM 31 (1988) 742-749 and 774.
11. Press W.H., Teukolsky S.A. Portable random number generators. Computers in Phys. 6:1992;522-524.
12. D.E. Knuth, Seminumerical Algorithms, 2nd ed., vol. 2 of the Art of Computer Programming, Addison-Wesley, Reading, MA, 1981.