On the universality classes of the Henon map |
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Authors: | Paulo R Hauser Evaldo MF Curado Constantino Tsallis |
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Institution: | Centro Brasileiro de Pesquisas Fisicas/CNPq, Rua Dr. Xavier Sigaud 150, 22290 Rio de Janeiro, RJ, Brazil |
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Abstract: | Within an appropriate renormalization framework, we discuss a1(b) and δ associated with the bifurcation road to chaos of a Hénon-like map generalized as follows: (xt+1, yt+1) = (1?a|xt|z + yt, ?bxt); (b?0, z?1). For fixed z, we obtained (i) only two universality classes, namely the conservative (b = 1) and non-conservative (b≠1) ones and (ii) . For b = 1, δ(z) presents a minimum, and diverges for z → 1 and z → ∞ (this contrasts with the b≠1 case). |
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