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- Title
NUMERICAL STUDY OF CHAOTIC ATTRACTORS IN A FAMILY OF GUMOWSKI-MIRA-LIKE MAPS.
- Authors
Deleanu, Dumitru
- Abstract
The two-dimensional Gumowski - Mira map (in short GM map) has received a special attention in the literature because of its interesting and nice-looking strange attractors. It can have multiple applications in different areas including biology, secure communications and fashion design. Even a slight transformation of it could enrich significantly its valuable potential. For this purpose, we propose in the paper a new family of GM maps by introducing a linear term and an additional parameter in the rational part of the classical map. The maximal Lyapunov characteristic exponent shows that the generated set of maps yields a high percentage of chaotic attractors which have, in many cases, a much more refined appearence than those created with GM map. Some of them are presented in the paper. The two-dimensional Gumowski - Mira map (in short GM map) has received a special attention in the literature because of its interesting and nice-looking strange attractors. It can have multiple applications in different areas including biology, secure communications and fashion design. Even a slight transformation of it could enrich significantly its valuable potential. For this purpose, we propose in the paper a new family of GM maps by introducing a linear term and an additional parameter in the rational part of the classical map. The maximal Lyapunov characteristic exponent shows that the generated set of maps yields a high percentage of chaotic attractors which have, in many cases, a much more refined appearence than those created with GM map. Some of them are presented in the paper.
- Subjects
MATHEMATICAL mappings; LYAPUNOV exponents; CHAOS theory; ATTRACTORS (Mathematics); PARAMETER estimation
- Publication
Annals of the University Dunarea de Jos of Galati: Fascicle II, Mathematics, Physics, Theoretical Mechanics, 2015, Vol 38, Issue 2, p207
- ISSN
2067-2071
- Publication type
Article