Journal
NONLINEAR DYNAMICS
Volume 77, Issue 1-2, Pages 255-266Publisher
SPRINGER
DOI: 10.1007/s11071-014-1290-8
Keywords
Hidden attractor; Topological horseshoe; Chua's circuit; Poincare map
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Funding
- National Natural Science Foundation of China [61104150]
- Science Fund for Distinguished Young Scholars of Chongqing [cstc2013jcyjjq 40001]
- Science and Technology Project of Chongqing Education Commission [KJ130517]
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Recently a new attractor, called hidden attractor, has been found in the well-known Chua's circuit, whose basin of attraction does not contain neighborhood of any equilibrium. This paper will restudy this circuit, showing that two hidden attractors can coexist in this circuit for some parameters, and characterizes the basins of these two attractors by means of computer method as well. In addition, a computer-assisted proof of the chaoticity of these attracters is presented by a topological horseshoe theory.
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