Chaos synthesis via root locus

Vaněček, Antonín; Čelikovský, Sergej

doi:10.1109/81.260222

Cited by 20 publications

(9 citation statements)

References 5 publications

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“…Simultaneously with these research activities, some new chaotic systems were found, like the chaotic Chen system [Chen & Ueta, 1999;Ueta & Chen, 2000], which according to [Vanecek & Celikovsky, 1994] is a dual system of the Lorenz system. Other well-known chaotic systems were discovered, including dissipative ones like Lozi, Tinkerbell, Ikeda, Sinai, Burger, Duffing systems, and conservative ones like Chirikov, Arnold, Baker, Nose-Hoover and Henon-Heiles systems.…”

Section: Introductionmentioning

confidence: 99%

Chaos Synthesis by Means of Evolutionary Algorithms

Zelinka

Chen

Čelikovský

2008

Int. J. Bifurcation Chaos

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This paper introduces the notion of chaos synthesis by means of evolutionary algorithms and develops a new method for chaotic systems synthesis. This method is similar to genetic programming and grammatical evolution and is being applied along with three evolutionary algorithms: differential evolution, self-organizing migration and genetic algorithm. The aim of this investigation is to synthesize new and "simple" chaotic systems based on some elements contained in a prechosen existing chaotic system and a properly defined cost function. The investigation consists of eleven case studies: the aforementioned three evolutionary algorithms in eleven versions. For all algorithms, 100 simulations of chaos synthesis were repeated and then averaged to guarantee the reliability and robustness of the proposed method. The most significant results were carefully selected, visualized and commented in this report.

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Section: Introductionmentioning

confidence: 99%

Chaos Synthesis by Means of Evolutionary Algorithms

Zelinka

Chen

Čelikovský

2008

Int. J. Bifurcation Chaos

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“…Many chaotification methods for continuous time systems have been developed in the literature [26,27]. Some of them can be categorized as the Vanecek-Celikovsky method [28], time-delay feedback [29,30,31], impulsive control [27], and model-based static feedback chaotification [32,33]. In addition to these methods, sliding mode control-based chaotification methods have been introduced in [34,35].…”

Section: Introductionmentioning

confidence: 99%

Model-based robust chaotification using sliding mode control

Kocaoğlu¹,

Güzeliş²

2014

Turk J Elec Eng & Comp Sci

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Abstract:Chaos is a complex behavior of dynamical nonlinear systems that is undesirable in most applications and should be controlled; however, it is desirable in some situations and should be generated. In this paper, a robust chaotification scheme based on sliding mode control is proposed for model based chaotification. A continuous time single input observable system is considered such that it is subject to parameter uncertainties, nonlinearities, noises, and disturbances, which are all additive to the input and can be modeled as an unknown function but bounded by a known function. The designed dynamical state feedback control law forces the system to match a reference chaotic system in finite time irrespective of the mentioned uncertainties, noises, and disturbances, as provided by the developed sliding mode control scheme. Simulation results are provided to illustrate the robustness of the proposed scheme against parameter uncertainties and noises. The results are compared with those of other model-based methods and Lyapunov exponents are calculated to show whether the closed-loop control systems exhibit chaotic behavior or not.

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“…been a challenging task because of the frequency-dependent issues that arise in realizing such a broadband oscillator, and since in general there are few systematic approaches to designing such oscillators (but see [84] for one of these exceptions). The details of the background, motivation, progress, and lessons learned from this undertaking can be found in the complementary papers [85,86], of which the summary given here is abstracted.…”

Section: (B) Representative Pwl Resistor I-v Characteristicmentioning

confidence: 99%

Introduction to chaos-based communications and signal processing

Silva¹,

Young

2000 IEEE Aerospace Conference. Proceedings (Cat. No.00TH8484)

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The evolution of the new discipline of nonlinear engineering is taking place along two fronts: the first addressing higher-order effects that have become more important in current designs, while the second more radical activity has focused on the explicit harnessing of nonlinear effects through whole new designs. For the latter case, the most studied nonlinear effect is that of the complex, random-like behavior called "chaos," which is now being applied to such diverse areas as communications, signal processing, fluid mechanics, and physiology. This tutorial survey paper will focus on the application of chaos to the efficiency, reliability, and especially security of information processing and transfer. It will first address the emergence of nonlinear engineering, the basics of dynamical systems, and the technical essentials of chaos. A brief representative tour of some novel applications will then be given, including progress on an effort to realize a microwave chaos-based communications system.

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Chaos synthesis via root locus

Cited by 20 publications

References 5 publications

Chaos Synthesis by Means of Evolutionary Algorithms

Chaos Synthesis by Means of Evolutionary Algorithms

Model-based robust chaotification using sliding mode control

Introduction to chaos-based communications and signal processing

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