Open AccessGeneration of grid multi-scroll Chua’s chaotic attractors with combination of hysteresis and step series
Author(s) -
Chaoxia Zhang,
Simin Yu
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.120
Subject(s) - attractor , scroll , chaotic , series (stratigraphy) , computer science , phase space , saddle , topology (electrical circuits) , chua's circuit , control theory (sociology) , mathematics , physics , mathematical analysis , mathematical optimization , control (management) , artificial intelligence , archaeology , combinatorics , biology , history , thermodynamics , paleontology
In this paper, a new approach to generating two types of grid multi-scroll chaotic attractors from canonical Chua’s circuit is reported. Different from the techniques reported in current literature for generating multi-scroll chaotic attractors by constructing only the same type of non-linear function, the present approach constructs both hysteresis series and step series in the same Chua's circuit, and extends the saddle-focus equilibrium points with index-2 in phase space by combining both series in different ways, which makes it possible to create two kinds of grid multi-scroll chaotic attractors. The effectiveness of this method has been verified by theoretical analysis, numerical simulation and circuit implementation.