Abstract
In this research, the frequency-frequency interactions in chaotic systems has been experimentally and numerically studied. We have injected two frequencies on chaotic system where one of these frequencies is modulated with chaotic waveform and the other is untiled as a scanning frequency to find modulating frequency. It is observed that the Fast Fourier Transformation (FFT) peaks amplitude increased when the value of the two frequencies are matched. Thus, the modulating frequency could be observed, this leads to discover a new method to detect the modulating frequency without synchronization.
Highlights
Chaos theory is a branch of mathematics focusing on the dynamical systems behavior which are highly sensitive to initial conditions [1]
We have injected two frequencies on chaotic system where one of these frequencies is modulated with chaotic waveform and the other is untiled as a scanning frequency to find modulating frequency
The chaotic security is depending on the complex dynamical behaviors which provide by chaotic systems [5,6,7]
Summary
Chaos theory is a branch of mathematics focusing on the dynamical systems behavior which are highly sensitive to initial conditions [1]. Chaotic communication is the application of chaos theory, which aims to provide security in transfer of the information that is made through the telecommunications technologies [2]. The chaotic security is depending on the complex dynamical behaviors which provide by chaotic systems [5,6,7]. The radio receiver must be tuned to the particular frequency of the carrier to recover the message, the same way in the optical communication, the received information can be recovered from an optical chaotic carrier by synchronization or tuning to chaotic dynamics of the transmitter [21,22,23]. The aim of this research is to enhance the chaotic communication security using two frequencies coupled with the carrier without synchronization.
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