Special Characteristics and Synchronizations of Multi Hybrid-Order Chaotic Systems [PDF]
Entropy, 2020 Based on advantages of integer and fractional chaotic systems, hybrid chaotic systems and their definitions and some fundamental concepts are proposed, such as hybrid degree (HD), the lowest order (LO) and the total dimension order (TDO). The preliminary
Jiaxun Liu +4 more
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Synchronization of non-smooth chaotic systems via an improved reservoir computing [PDF]
Scientific ReportsThe reservoir computing (RC) is increasingly used to learn the synchronization behavior of chaotic systems as well as the dynamical behavior of complex systems, but it is scarcely applied in studying synchronization of non-smooth chaotic systems likely ...
Guyue Wu, Longkun Tang, Jianli Liang
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Signatures of Quantum Mechanics in Chaotic Systems [PDF]
Entropy, 2019 We examine the quantum-classical correspondence from a classical perspective by discussing the potential for chaotic systems to support behaviors normally associated with quantum mechanical systems.
Kevin M. Short, Matthew A. Morena
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Data-driven forecasting of high-dimensional chaotic systems with long short-term memory networks [PDF]
Proceedings of the Royal Society A, 2018 We introduce a data-driven forecasting method for high-dimensional chaotic systems using long short-term memory (LSTM) recurrent neural networks. The proposed LSTM neural networks perform inference of high-dimensional dynamical systems in their reduced ...
Pantelis R. Vlachas +4 more
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A Novel Voltage-Controlled Tri-Valued Memristor and Its Application in Chaotic System
Complexity, 2020 Memristor is a kind of passive nonlinear element, which is widely used in nonlinear systems, especially chaotic systems, because of its nanometer size, nonvolatile property, and good nonlinear characteristics.
Xiaoyuan Wang, Xue Zhang, Meng Gao
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A Novel Random Number Generator Based on Fractional Order Chaotic Chua System
Elektronika ir Elektrotechnika, 2020 One of the practical applications of chaotic systems is the design of a random number generator. In the literature, generally random number generators are designed using discrete time chaotic systems.
Fatih Ozkaynak
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On Measure Chaotic Dynamical Systems [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we introduce chaotic measure for discrete and continuous dynamical systems and study some properties of measure chaotic systems. Also relationship between chaotic measure, ergodic and expansive measures is investigated. Finally, we prove a
Faride Ghorbani Moghaddam +2 more
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Robust synchronization of a class neutral chaotic systems Despite, unknown time-delay and parameter [PDF]
مجله مدل سازی در مهندسی, 2023 The synchronization of neutral chaotic systems with disturbance, uncertainty, unknown parameters, and unknown delays is studied in this article. Initially, the neutral chaotic system is introduced using the Lyapunov exponent and then the adaptive-robust ...
Amirhosein Rostampour +2 more
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Elliptic Flowers: New Types of Dynamics to Study Classical and Quantum Chaos
Entropy, 2022 We construct examples of billiards where two chaotic flows are moving in opposite directions around a non-chaotic core or vice versa; the dynamics in the core are chaotic but flows that are moving in opposite directions around it are non-chaotic.
Hassan Attarchi, Leonid A. Bunimovich
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Long-term prediction of chaotic systems with machine learning
Physical Review Research, 2020 This paper develops a machine learning scheme to obtain long term predictions on chaotic systems, including high-dimensional, spatiotemporal chaotic systems, by using extremely rare ...
Huawei Fan +4 more
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