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A characterization of chaotic order [PDF]
Journal of Inequalities and Applications, 2006 The chaotic order among positive invertible operators on a Hilbert space is introduced by . Using Uchiyama's method and Furuta's Kantorovich-type inequality, we will point out that if and only if holds for any , where is any fixed positive number ...
Yang Changsen, Gao Fugen
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Synchronization of fractional-order and integer-order chaotic (hyper-chaotic) systems with different dimensions [PDF]
Advances in Difference Equations, 2017 By constructing two scaling matrices, i.e., a function matrix Λ ( t ) $\Lambda (t)$ and a constant matrix W which is not equal to the identity matrix, a kind of W − Λ ( t ) $W-\Lambda(t)$ synchronization between fractional-order and integer-order chaotic
Xiaoyan Yang, Heng Liu, Shenggang Li
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Engineering Applications of Artificial Intelligence, 2020 Abstract Identifying the parameters of the chaos phenomena in the economic-financial systems is a critical issue to control and avoid the financial crises and bogging the market down. Therefore, in this paper, an efficient and reliable optimization algorithm is developed to identify the corresponding parameters of that chaotic dynamical behavior in ...
Dalia Yousri, Seyedali Mirjalili
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A characterization of chaotic order and a problem
Journal of Inequalities and Applications, 1998 In our previous notes, we give a useful characterization of the chaotic order, i.e., for positive invertible operators and . In this note, we present a short proof to the characterization of the chaotic order and give an answer to a related problem on
Jiang Jian Fei +3 more
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Orders of chaoticity of unitaries
Physica Scripta, 2023 Abstract We introduce the concept of K-th order chaoticity of unitaries, and analyze it for the case of two-level quantum systems. This property is relevant in a certain quantum random number generation scheme. We show that no unitaries exist with an arbitrary order of chaoticity.
Adrian Ortega +2 more
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Complexity Analysis and Synchronization Control of Fractional-Order Jafari-Sprott Chaotic System
IEEE Access, 2020 Aiming at the complexity problem of fractional-order Jafari-Sprott chaotic system, in this paper, Adomian decomposition method is used to study its numerical analysis and a complexity analysis method of fractional-order Jafari-Sprott chaotic system based
Guohui Li, Xiangyu Zhang, Hong Yang
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IEEE Access, 2023 Parameter identification of fractional-order chaotic power systems is a multidimensional optimization problem that plays a decisive role in the synchronization and control of fractional-order chaotic power systems.
Chunyu Ai, Shan He, Xiaochao Fan
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Synchronization of Butterfly Fractional Order Chaotic System
Mathematics, 2020 In this paper, we study the synchronization of a nonlinear fractional system, and analyze its time response and chaotic behaviors. We represent a solution for considered system by employing the Mittag-Leffler matrix function and Jacobian matrix ...
Michal Fečkan +2 more
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Soil Salinization Level Monitoring and Classifying by Mixed Chaotic Systems
Remote Sensing, 2021 Soil salinization process is a complex non-linear dynamic evolution. To classify a system with this type of non-linear characteristic, this study proposed a mixed master/slave chaotic system based on Chua’s circuit and a fractional-order Chen-Lee chaotic
Anhong Tian +4 more
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Complexity, 2020 Based on the integer-order memristive system that can generate two-scroll, three-scroll, and four-scroll chaotic attractors, in this paper, we found other phenomena that two kinds of three-scroll chaotic attractors coexist in this system with different ...
Xikui Hu, Ping Zhou
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