176
Views
7
CrossRef citations to date
0
Altmetric
Articles

Hidden and self-excited attractors in Chua circuit: synchronization and SPICE simulation

, , , , , & show all
Pages 513-523 | Received 24 Mar 2017, Accepted 21 May 2017, Published online: 26 Jun 2017
 

Graphical Abstract

Two symmetric hidden chaotic attractors (blue), trajectories (red) from unstable manifolds of two saddle points are either attracted to locally stable zero equilibrium, or tend to infinity; trajectories (black) from stable manifolds tend to equilibria.

Abstract

Nowadays various chaotic secure communication systems based on synchronization of chaotic circuits are widely studied. To achieve synchronization, the control signal proportional to the difference between the circuits signals, adjust the state of one circuit. In this paper the synchronization of two Chua circuits is simulated in Simulation Programs with Integrated Circuit Emphasis. It is shown that the choice of control signal is not straightforward, especially in the case of multistability and hidden attractors.

Disclosure statement

No potential conflict of interest was reported by the authors.

Notes

2 In our experiment ‘Max time step’ is set to .

Additional information

Funding

This work is supported by Leading Scientific School of Russian Federation (8580.2016.1, section 2) and DST-RFBR project (16-51-45002, section 3).

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.