Secure communications via chaotic synchronization in Chua's circuit and Bonhoeffer-Van der Pol equation: numerical analysis of the errors of the recovered signal

2002 ◽  
Author(s):  
R. Lozi
Keyword(s):  
Numerical Analysis ◽  
Chaotic Synchronization ◽  
Secure Communications ◽  
Chua’S Circuit ◽  
Van Der Pol Equation ◽  
Van Der Pol ◽  
Chua's Circuit

EXPERIMENTAL DEMONSTRATION OF SECURE COMMUNICATIONS VIA CHAOTIC SYNCHRONIZATION

1992 ◽  
Vol 02 (03) ◽  
pp. 709-713 ◽  
Author(s):  
Lj. KOCAREV ◽  
K. S. HALLE ◽  
K. ECKERT ◽  
L. O. CHUA ◽  
U. PARLITZ
Keyword(s):  
Recovery Process ◽  
Chaotic Signal ◽  
Chaotic Synchronization ◽  
Secure Communications ◽  
Chua’S Circuit ◽  
Experimental Demonstration ◽  
Chua's Circuit

Secure communications via chaotic synchronization is experimentally demonstrated using Chua's circuit. In our experiment the energy lost in the information-bearing signal is approximately 0.6 dBV. The reduction in chaotic signal after the recovery process is between -40 and -50 dBV.

TRANSMISSION OF DIGITAL SIGNALS BY CHAOTIC SYNCHRONIZATION

1992 ◽  
Vol 02 (04) ◽  
pp. 973-977 ◽  
Author(s):  
U. PARLITZ ◽  
L.O. CHUA ◽  
Lj. KOCAREV ◽  
K.S. HALLE ◽  
A. SHANG
Keyword(s):  
Chaotic Synchronization ◽  
Chua’S Circuit ◽  
Digital Signals ◽  
Chua's Circuit

The transmission of digital signals by means of chaotic synchronization is demonstrated, numerically as well as experimentally, via Chua’s circuit.

CONTROLLING CHAOS IN A CHUA'S CIRCUIT USING NOTCH FILTERS

2009 ◽  
Vol 18 (06) ◽  
pp. 1137-1153 ◽  
Author(s):  
ASHRAF A. ZAHER ◽  
ABDULNASSER ABU-REZQ
Keyword(s):  
Power Spectrum ◽  
Period Doubling ◽  
Original System ◽  
Point Of View ◽  
Practical Implementation ◽  
Secure Communications ◽  
Chua’S Circuit ◽  
Notch Filters ◽  
Chua's Circuit ◽  
Processing Point

This paper explores the use of notch filters for the purpose of damping out chaotic oscillations. The design of the filter and the way it is interfaced to the system are investigated from a signal-processing point of view. A Chua's circuit, that has typical applications in synchronization and secure communications, is used to exemplify the suggested methodology where both theoretical and experimental results are provided. The power spectrum of the original system is analyzed to selectively damp-out portions of the power spectrum, thus truncating period-doubling, the original cause of chaos. Both single and double notch filters are explored to examine their effect on the performance of the modified system. Steady state analysis as well as issues regarding practical implementation are addressed and advantages and limitations of the proposed method are highlighted.

Dynamics of Memristor Circuits

2014 ◽  
Vol 24 (05) ◽  
pp. 1430015 ◽  
Author(s):  
Makoto Itoh ◽  
Leon O. Chua
Keyword(s):  
Coordinate Transformation ◽  
Nonlinear Circuits ◽  
Van Der Pol Oscillator ◽  
Chua’S Circuit ◽  
Van Der Pol ◽  
Conservation Of Energy ◽  
Zero Crossing ◽  
Chua's Circuit ◽  
Hamilton's Equations ◽  
Hamilton’S Equations

In this paper, we show that Hamilton's equations can be recast into the equations of dissipative memristor circuits. In these memristor circuits, the Hamiltonians can be obtained from the principles of conservation of "charge" and "flux", or the principles of conservation of "energy". Furthermore, the dynamics of memristor circuits can be recast into the dynamics of "ideal memristor" circuits. We also show that nonlinear capacitors are transformed into nonideal memristors if an exponential coordinate transformation is applied. Furthermore, we show that the zero-crossing phenomenon does not occur in some memristor circuits because the trajectories do not intersect the i = 0 axis. We next show that nonlinear circuits can be realized with fewer elements if we use memristors. For example, Van der Pol oscillator can be realized by only two elements: an inductor and a memristor. Chua's circuit can be realized by only three elements: an inductor, a capacitor, and a voltage-controlled memristor. Finally, we show an example of two-cell memristor CNNs. In this system, the neuron's activity depends partly on the supplied currents of the memristors.

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