On hidden twin attractors and bifurcation in the Chua’s circuit

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, an...

Full description

Saved in:
Bibliographic Details
Published in:Nonlinear dynamics 2014-07, Vol.77 (1-2), p.255-266
Main Authors: Li, Qingdu, Zeng, Hongzheng, Yang, Xiao-Song
Format: Article
Language:English
Subjects:
Attraction
Automotive Engineering
Basins
Bifurcations
Chaos theory
Circuits
Classical Mechanics
Control
Dynamical Systems
Engineering
Mechanical Engineering
Nonlinear dynamics
Original Paper
Proving
Topology
Vibration
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-014-1290-8