Chaos control for Willamowski–Rössler model of chemical reactions

Bodale, Ilie; Oancea, Victor Andrei

doi:10.1016/j.chaos.2015.06.019

Cited by 24 publications

(16 citation statements)

References 18 publications

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“…The main research focus of these numerical systems as well as the Lorenz system has been on their dynamic analysis. Topics usually include bound analysis [9], aperiodic solutions, sensitivity to initial conditions, bifurcation theory [10], circuit implementations, calculation of Lyapunov exponents [11,12], fractional order [13], chaos-based communication, proof of chaos existence, chaos control [14], and synchronization. However, these aspects of the research cannot explain the mechanism or reason for the production of dynamic modes, and also cannot interpret the physical analogues of state variables.…”

Section: Introductionmentioning

confidence: 99%

Energy cycle and bound of Qi chaotic system

Zhang

2017

Chaos, Solitons & Fractals

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The Qi chaotic system is transformed into a Kolmogorov-type system, thereby facilitating the analysis of energy exchange in its different forms. Regarding four forms of energy, the vector field of this chaotic system is decomposed into four forms of torque: inertial, internal, dissipative, and external. The rate of change of the Casimir function is equal to the exchange power between the dissipative energy and the supplied energy. The exchange power governs the orbital behavior and the cycling of energy. With the rate of change of Casimir function, a general bound and least upper bound of the Qi chaotic attractor are proposed. A detailed analysis with illustrations is conducted to uncover insights, in particular, cycling among the different types of energy for this chaotic attractor and key factors producing the different types of dynamic modes.

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Section: Introductionmentioning

confidence: 99%

Energy cycle and bound of Qi chaotic system

Zhang

2017

Chaos, Solitons & Fractals

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“…Chaos is a widely studied phenomenon in the fields of science and engineering, such as in the subject of climate [Stehlík et al, 2016], the dynamical system control [Messadi & Mellit, 2017], chemical aspects [Bodale & Oancea, 2015], etc. Chaotic systems are highly complex nonlinear dynamic systems.…”

Section: Chaotic Systemsmentioning

confidence: 99%

Cryptanalysis of Chaos-Based Cryptosystem from the Hardware Perspective

Luo

Zhang

Liu

et al. 2018

Int. J. Bifurcation Chaos

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Chaos has been used in cryptography for years and many chaotic cryptographic systems have been proposed. Their securities are often evaluated by conducting conventional statistical tests, however few studies have referred to the security issue of the chaotic hardware cryptographic systems. This paper evaluates the security of the chaotic cryptographic system from a hardware perspective by using the side channel analysis attack. First, a chaotic block cryptosystem is designed and implemented based on an Atmel microcontroller. Then the conventional statistical security tests, including SP 800-22 test, characters frequency test, avalanche test, are used to verify its security performance. In the meantime, the correlation power analysis attack is carried out for the security evaluation. Experimental results demonstrate that even though the chaotic cryptographic system can pass the conventional statistical tests, it still has the probability to be attacked from a hardware perspective using the leaked side channel information such as execution time and power consumption. This paper proposes another way to analyze the security of the chaotic cryptosystem, which can aid designing mechanisms to enhance the security of the hardware cryptosystems in the future.

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“…His contributions include elucidating the mechanism of labyrinth chaos, characterized by sensitive dependence on initial conditions, and flexible chaotic phase like chaotic walks 18 . Rössler system was widely studied as a paradigmatic chaotic system for research in different topics, like coupled oscillators synchronization 19 , chemical reactions 20 , and topological horseshoe 21 .…”

Section: Introductionmentioning

confidence: 99%

Rössler-network with time delay: Univariate impulse pinning synchronization

Tian

Ren

Grebogi

2020

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Rössler had a brilliant and successful life as a scientist, during which he published a benchmark dynamical system by using an electronic circuit interpreting chemical reactions. This is our contribution to honour his splendid erudite career. It is a hot topic to regulate a network behavior using the pinning control with respect to a small set of nodes in the network. Besides pinning to small number of nodes, small perturbation to the node dynamics is also demanded. In this paper, the pinning synchronization of coupled Rössler-Network with time delay using univariate impulse control is investigated. Using the Lyapunov theory, a theorem is proved for the asymptotic stability of synchronization in the network. Simulation is given to validate the correctness of the analysis and the effectiveness of the proposed univariate impulse pinning controller.

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Chaos control for Willamowski–Rössler model of chemical reactions

Cited by 24 publications

References 18 publications

Energy cycle and bound of Qi chaotic system

Energy cycle and bound of Qi chaotic system

Cryptanalysis of Chaos-Based Cryptosystem from the Hardware Perspective

Rössler-network with time delay: Univariate impulse pinning synchronization

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