Characterization of Chaotic Attractors at Bifurcations in Murali±lakshmanan±chua's Circuit and One-way Coupled Map Lattice System
نویسندگان
چکیده
In the present paper we study certain characteristic features associated with bifurcations of chaos in a ®nite dimensional dynamical system ± Murali±Lakshmanan±Chua (MLC) circuit equation and an in®nite dimensional dynamical system ± one-way coupled map lattice (OCML) system. We characterize chaotic attractors at various bifurcations in terms of r n q ± the variance of ¯uctuations of coarse-grained local expansion rates of nearby orbits. For all chaotic attractors the r n q versus q plot exhibits a peak at q q a. Additional peaks, however, are found only just before and just after the bifurcations of chaos. We show power-law variation of maximal Lyapunov exponent near intermittency and sudden widening bifurcations. Linear variation is observed for band-merging bifurcation. We characterize weak and strong chaos using probability distribution of k-step dierence of a state variable. Ó 2001 Elsevier Science Ltd. All rights reserved.
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