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Universal behaviour in a “modulated” logistic map

✍ Scribed by K.P. Harikrishnan; V.M. Nandakumaran


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
204 KB
Volume
125
Category
Article
ISSN
0375-9601

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Dynamic behaviours of 2∞ attractor and q
✍ P. Philominathan; S. Rajasekar 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 377 KB

Dynamic behaviours of the 2 ~° attractor at the accumulation of period doubling in the logistic map are studied by the sum of the local expansion rates Sn(xl) of nearby orbits. The variance ([S~ (x)] 2 ) and algebraic exponent fin (x 1 ) = S, (x 1)/In (n) exhibits self-similar structures. The critic