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This paper investigates the application of a recursive synchronization technique that can be applied to chaotic systems, using a single time series. The Unified system is used to exemplify the chaotic systems due to its versatile characteristics. The proposed method doesn't require the direct construction of an error signal between the measurable state and its estimate; thus, allowing for easily constructing...
This paper investigates the control and suppression of chaos in nonautonomous oscillators with uncertain and/or unknown parameters. A nonlinear second order Duffing oscillator that has a single harmonic excitation and two uncertain parameters is used to exemplify the suggested techniques. Only one signal is assumed available for processing, which corresponds to the output of the Duffing oscillator...
In this paper, an improved technique for constructing chaotic shift keying for transmitting digital signals is introduced. The key idea is allowing the chaotic transmitted signal to alternate between four different chaotic attractors, in contrast to the classical methods where only two chaotic attractors, representing logic 0 and logic 1 are used. This has the effect of effectively hiding the secret...
This paper discusses the topic of using chaotic models for constructing secure communication systems. It investigates two different case studies that use encryption/decryption functions with varying degrees of complexity and performance. The first case study explores the use of an improved cryptography method for scrambling the transmitted signal. The improvement is based on using both the transmitter...
A simple linear state feedback control algorithm that requires tuning of a single gain is used for identifying uncertain parameters of the chaotic Lorenz system. The goal of the controller is to force the closed-loop system to reach a stable steady state with real non-zero values such that the parameters of the Lorenz system can be found algebraically and without the need to design dynamic parameters...
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