In:
International Journal of Bifurcation and Chaos, World Scientific Pub Co Pte Ltd, Vol. 03, No. 04 ( 1993-08), p. 943-962
Abstract:
A complex fine structure in the topography of regions of different dynamical behavior near the onset of chaos is investigated in a parameter plane of the 1D Chua's map, which describes approximately the dynamics of Chua's circuit. Besides piecewise-smooth Feigenbaum critical lines, the boundary of chaos contains an infinite set of codimension-2 critical points, which may be coded by itineraries on a binary tree. Renormalization group analysis is applied which is a generalization of Feigenbaum's theory for codimension-2 critical points. Multicolor high-resolution maps of the parameter plane show that in regions near critical points having periodic codes, the infinitely intricate topography of the parameter plane reveals a property of self-similarity.
Type of Medium:
Online Resource
ISSN:
0218-1274
,
1793-6551
DOI:
10.1142/S0218127493000799
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
1993
SSG:
11
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