Hopf bifurcation and chaos in the time-delay Chua's circuit

2016 ◽  
Author(s):  
Xingran Liao ◽  
Nankun Mu
Keyword(s):  
Hopf Bifurcation ◽  
Time Delay ◽  
Chua’S Circuit ◽  
Bifurcation And Chaos ◽  
Chua's Circuit

STRANGE ATTRACTORS IN PERIODICALLY KICKED CHUA'S CIRCUIT

2005 ◽  
Vol 15 (01) ◽  
pp. 83-98 ◽  
Author(s):  
QIUDONG WANG ◽  
ALI OKSASOGLU
Keyword(s):  
Hopf Bifurcation ◽  
Dynamical Systems ◽  
Numerical Simulations ◽  
Autonomous System ◽  
Strange Attractors ◽  
External Forcing ◽  
Chua’S Circuit ◽  
New Developments ◽  
Chua's Circuit

In this paper, we discuss a new mechanism for chaos in light of some new developments in the theory of dynamical systems. It was shown in [Wang & Young, 2002b] that strange attractors occur when an autonomous system undergoing a generic Hopf bifurcation is subjected to a weak external forcing that is periodically turned on and off. For illustration purposes, we apply these results to the Chua's system. Derivation of conditions for chaos along with the results of numerical simulations are presented.

scholarly journals Hopf bifurcation and chaos in a single inertial neuron model with time delay

2004 ◽  
Vol 41 (3) ◽  
pp. 337-343 ◽  
Author(s):  
Chunguang Li ◽  
Guangrong Chen ◽  
Xiaofeng Liao ◽  
Juebang Yu
Keyword(s):  
Hopf Bifurcation ◽  
Time Delay ◽  
Neuron Model ◽  
Bifurcation And Chaos

A BIPARAMETRIC BIFURCATION IN 3D CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH TWO ZONES: APPLICATION TO CHUA'S CIRCUIT

2007 ◽  
Vol 17 (02) ◽  
pp. 445-457 ◽  
Author(s):  
E. FREIRE ◽  
E. PONCE ◽  
J. ROS
Keyword(s):  
Hopf Bifurcation ◽  
Linear Systems ◽  
Limit Cycle ◽  
Limit Cycles ◽  
Piecewise Linear ◽  
Continuous Systems ◽  
Chua’S Circuit ◽  
Chua's Circuit ◽  
Piecewise Linear Systems ◽  
Limit Cycle Bifurcation

In this paper, a possible degeneration of the focus-center-limit cycle bifurcation for piecewise smooth continuous systems is analyzed. The case of continuous piecewise linear systems with two zones is considered, and the coexistence of two limit cycles for certain values of parameters is justified. Finally, the Chua's circuit is shown to exhibit the analyzed bifurcation. The obtained bifurcation set in the parameter plane is similar to the degenerate Hopf bifurcation for differentiable systems.

Hopf bifurcation and chaos in time-delay model of glucose-insulin regulatory system

2020 ◽  
Vol 137 ◽  
pp. 109845 ◽  
Author(s):  
Abdul-Basset A. Al-Hussein ◽  
Fadihl Rahma ◽  
Sajad Jafari
Keyword(s):  
Hopf Bifurcation ◽  
Time Delay ◽  
Regulatory System ◽  
Delay Model ◽  
Bifurcation And Chaos
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