On the fractal structure of basin boundaries in two-dimensional noninvertible maps

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 13, Issue 7, 2003, Pages 1767-1785

  Agliari, A ^a   Gardini, L ^b   Mira, C ^c  

^a UNIVERSITÀ CATTOLICA DEL SACRO CUORE   (Italy)

^b UNIVERSITY OF URBINO   (Italy)

^c NONE   (France)

Author keywords

Basin bifurcation; Fractalization; Julia set; Noninvertible map

Indexed keywords

BIFURCATION (MATHEMATICS); FRACTALS; FUNCTIONS; MATHEMATICAL MODELS;

NONINVERTIBLE MAPS;

MAPS;

DRYAS IULIA;

EID: 0141730339     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021812740300762X     Document Type: Conference Paper

References (7)

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2. Agliari, A., Gardini, L., Delli Gatti, D. & Gallegati, M. [2000] "Global dynamics in a nonlinear model for the equity ratio," Chaos Solit. Fract, 11, 961-985.
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5. Mira, C. [1987] Chaotic Dynamics (World Scientific, Singapore).
6. Mira, C., Fournier-Prunaret, D., Gardini, L., Kawakami, H. & Cathala, J. C. [1994] "Basin bifurcations of two-dimensional noninvertible maps: Fractalization of basins," Int. J. Bifurcation and Chaos 4, 343-381.
7. Mira, C., Gardini, L., Barugola, A. & Cathala, J. C. [1996] Chaotic Dynamics in Two-Dimensional Noninvertible Maps (World Scientific, Singapore).