Delayed feedback on the 3-D chaotic system only with two stable node-foci

Anti-control of Hopf bifurcation in the new chaotic system with two stable node-foci

In order to further understand a complex 3D dynamical system showing strange chaotic attractors with two stable node-foci near Hopf bifurcation point, we propose nonlinear control scheme to the system and the controlled system, depending on five parameters, can exhibit codimension one, two, and three Hopf bifurcations in a much larger parameter regain. The control strategy used keeps the equili...

Horseshoes in a Chaotic System with only One Stable equilibrium

Time-delayed Feedback Control of the Energy Resource Chaotic System

In this paper, the control of energy resource chaotic system is investigated by timedelayed feedback control (TDFC) method. The controllability and the stability of the equilibriums of the system are verified. Several stabile periodic orbits are got in the numerical simulations, which shows the effectively of TDFC method.

Unmasking Optical Chaotic Cryptosystems Based on Delayed Optoelectronic Feedback

Chaotic signals typically have broadband spectrum. This property is desirable for applications that require robustness against interference, jamming and low detection probability. Those issues have been addressed by traditional communication systems by using spread spectrum and frequency hopping modulations. In chaos-based communications the broadband chaotic signal is generated at the physical...

Synchronization of Two Rank-One Chaotic Systems without and with Delay via Linear Delayed Feedback Control

This paper illustrates the presence of chaos in rank-one chaotic systems with delay via a binary test called 0-1 test for chaos. Chaotic synchronization between two rank-one chaotic systems without and with delay is achieved by means of Lyapunov functional and linear delayed feedback control method. Numerical simulations are implemented to verify the effectiveness of the proposed chaos synchron...