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Chaos Theory
This chapter presents an overview of chaos theory. It starts from the background of dynamical systems, presenting the mathematical representation and...
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Ultra-chaos of square thin plate in low Earth orbit
Due to its small mass and eccentricity, the motion of a piece of debris in low Earth orbit (LEO) may be chaotic. This paper demonstrates that...
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Chaos Cryptography
Exploring chaos cryptography, this chapter introduces a cryptographic paradigm using chaotic systems to design secure algorithms. Fundamental...
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An evaluation method for optical chaos synchronization based on reservoir computing
A metric is proposed for evaluation of optical chaos synchronization performance, whether the disturbance is linear or nonlinear. The chaos...
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Emergence and suppression of chaos in small interdependent networks by localized periodic excitations
Mastering the emergence and suppression of chaos of complex networks is currently a fundamental task for the nonlinear science community with...
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Suppressing homoclinic chaos for a class of vibro-impact oscillators by non-harmonic periodic excitations
This paper proposes a theoretical framework and carries out numerical verification for suppressing homoclinic chaos of a class of vibro-impact...
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Prediction and suppression of chaos following flutter in wind turbines
Chaotic motion in a fluttering wind turbine blade is investigated by the development of an efficient analytical predictive model that is then used to...
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Chaos and Pseudo-Randomness
We discuss the effect on finite machine implementation of chaotic system on randomness. We show that the most significant bit even for fully...
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Chaos in Free-Electron Lasers
Researchers in the field of chaos are concerned with the basic properties of the solutions of systems of nonlinear equations. This interest stems...
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Neural Network Design for Chaos Synchronization
This chapter presents an application of neural networks to chaos synchronization. The two main methodologies, on which the approach is based, are...
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Nonlinear motion cascade to chaos in a rotor system based on energy transfer
The nonlinear stiffness of a structure results in complex nonlinear dynamic behaviors and bifurcations of rotor systems. However, there still lacks...
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Multi-coexistence of routes to chaos in a delayed half-center oscillator (DHCO) system
In this paper, we present a delayed half-center oscillator (DHCO) system consisting of two coupling inertial neurons. The multi-coexistence of routes...
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A Method for Designing Substitution Boxes Based on Chaos with High Nonlinearity
Cryptography aims to design algorithms for the protection of important data transmitted over unsecured networks. These algorithms encrypt the data...
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Using 2D Hénon Map, Cycling Chaos and DNA Sequence for New Secure Color Image Encryption Algorithm
In recent years, protecting secure images from unauthorized use has become a necessity, which can be accomplished with image encryption. In this...
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Controlling chaos in bi-stable energy harvesting systems using delayed feedback control
Chaotic behavior in Bi-stable Energy Harvesters (BEHs) drastically decreases the harvested energy and makes the interface circuit design complicated...
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Optimized Fuzzy Fractional-order Controller for a Nonlinear Chaos System With Period-doubling Bifurcation Analysis
Chaos study and control is one of the dynamic fields of research nowadays. The non-linear dynamic behavior such as fast scale bifurcation results in...
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Snap-back repellers and chaos in a class of discrete-time memristor circuits
In the last decade the flux-charge analysis method (FCAM) has been successfully used to show that continuous-time (CT) memristor circuits possess for...
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Chaos prediction in trolling mode atomic force microscopy: analytical approach
Recently a novel mode of AFM called Trolling-mode AFM (TR-AFM) was developed with the ability to operate in liquid environments with an intrinsically...
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6. Chaos Based Secure Communication Systems
In this chapter, the results obtained in the previous chapter will be used to design a chaos based secure communication system. Specifically, these...
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Uncertainty analysis of residual strength of porous laminates in hot and humid environment based on polynomial chaos expansion
In view of the fact that composite material structures will be affected by multi-source uncertainty factors during use, a new method for predicting...
