Paper Info
Title
Self-Excited And Hidden Attractors Found Simultaneously In A Modified Chua'S Circuit
Abstract
By replacing the Chua's diode in Chua's circuit with a first-order hybrid diode circuit, a fourth-order modified Chua's circuit is presented. The circuit has an unstable zero saddle point and two nonzero saddle-foci. By Routh-Hurwitz criterion, it is found that in a narrow parameter region, the two nonzero saddle-foci have a transition from unstable to stable saddle-foci, leading to generations of self-excited and hidden attractors in the modified Chua's circuit simultaneously, which have not been previously reported. Complex dynamical behaviors are investigated both numerically and experimentally. The results indicate that the proposed circuit exhibits complicated nonlinear phenomena including self-excited attractors, coexisting self-excited attractors, hidden attractors, and coexisting hidden attractors.
Year
DOI
Venue
2015
10.1142/S0218127415500753
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
Field
DocType
Equilibrium point, hidden attractor, modified Chua's circuit, self-excited attractor, stability
Attractor,Chua's circuit,Excited state,Nonlinear phenomena,Saddle point,Control theory,Mathematical analysis,Diode,Equilibrium point,Mathematics
Journal
Volume
Issue
ISSN
25
5
0218-1274
Citations 
PageRank 
References 
7
0.59
6
Authors
5
Name
Order
Citations
PageRank
Bocheng Bao111919.50
Fengwei Hu2221.84
Mo Chen3298.53
Quan Xu4287.13
Yajuan Yu5163.26