A Weak Signal Detection Application Based on Hyperchaotic Lorenz System

Due to accurate capability to detect weak signal, chaotic oscillators have become an interesting topic for many scientific researches. In this paper, two hyperchaotic Lorenz systems are presented to detect weak signal. These systems are chosen because of their parametric variety and high applicability. Dynamic behaviors of two hyperchaotic systems are analysed in detail. For this purpose, the Lyapunov exponent values and bifurcation behaviours of two hyperchaotic systems are analysed for weak signal detection applications. The relationship between the system state and the amplitude of the weak signal is defined by examining the Lyapunov exponents of the system. So, dynamic characteristics of two chaotic oscillators are observed by this way. The critical chaotic parametric threshold value of a chaotic system is easily determined by the bifurcation analysis. The bifurcation threshold value named as tangent bifurcation point is the most suitable one to detect weak signal. For this purpose, the tangent bifurcation points of these systems are determined via bifurcation analysis. Additionally, weak signal detection applications of two hyperchaotic systems are also studied. The applicability of the proposed systems is shown by these applications. These systems also detect the weak signal with low signal to noise ratio (SNR). Simulation results obtained from Matlab-Simulink® program verify the studied method

Circuit Realization of the Fractional-Order Sprott K Chaotic System with Standard Components

Interest in studies on fractional calculus and its applications has greatly increased in recent years. Fractional-order analysis has the potential to enhance the dynamic structure of chaotic systems. This study presents the implementation of a lower-order fractional electronic circuit using standard components for the Sprott K system. To our knowledge, there are no chaotic circuit realizations in the literature where the value of a fractional-order parameter is approximately 0.8, making this study pioneering in this aspect. Additionally, various numerical analyses of the system are conducted, including chaotic time series and phase planes, Lyapunov exponents, spectral entropy (SE), and bifurcation diagrams, in order to examine its dynamic characteristics and complexity. As anticipated, the voltage outputs obtained from the oscilloscope demonstrated good agreement with both the numerical analysis and PSpice simulations

A novel chaotic attractor and its weak signal detection application

In this paper, we present a new sinusoidal chaotic attractor and its weak signal detection application. This new system has a simple structure, parametric variety and high applicability. Its dynamic characteristics are studied in detailed. Firstly, the relationship between the system state and the amplitude of the forcing term is defined by examining the Lyapunov exponents of the system. The chaotic system's dynamical behavior is observed by this way. Secondly, the critical threshold value of the system is determined by the bifurcation analysis. This critical value named as tangent bifurcation point is a suitable one to detect weak signal which is submerged in strong noise. Thirdly, electronic circuit of the novel chaotic attractor is designed. Finally, a weak signal detection application of the system is studied. Simulation results indicate that this system can detect weak signal with high detection accuracy and low signal to noise ratio (SNR). Itcan also detect weak signal in high frequency cases. Matlab-Simulinle (R) and PSpice simulation results prove the correctness of the theoretical analysis of studied system. (C) 2016 Elsevier GmbH. All rights reserved