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QUANTIZED OPEN CHAOTIC SYSTEMS [PDF]
Mathematical Results in Quantum Physics, 2011 Two different "wave chaotic" systems, involving complex eigenvalues or resonances, can be analyzed using common semiclassical methods. In particular, one obtains fractal Weyl upper bounds for the density of resonances/eigenvalues near the real axis, and a classical dynamical criterion for a spectral gap.
Nonnenmacher, Stéphane
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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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Dynamics, control, stability, diffusion and synchronization of modified chaotic Colpitts oscillator [PDF]
Archives of Control Sciences, 2021 The purpose of this paper is to introduce a new chaotic oscillator. Although different chaotic systems have been formulated by earlier researchers, only a few chaotic systems exhibit chaotic behaviour.
Suresh Rasappan, K.A. Niranjan Kumar
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Dynamical properties of a modified chaotic Colpitts oscillator with triangular wave non-linearity [PDF]
Archives of Control Sciences, 2023 The purpose of this paper is to introduce a new chaotic oscillator. Although different chaotic systems have been formulated by earlier researchers, only a few chaotic systems exhibit chaotic behaviour.
Rasappan Suresh +5 more
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Reviews of Modern Physics, 2013 There are numerous physical situations in which a hole or leak is introduced in an otherwise closed chaotic system. The leak can have a natural origin, it can mimic measurement devices, and it can also be used to reveal dynamical properties of the closed system. In this paper we provide an unified treatment of leaking systems and we review applications
Altmann, Eduardo G. +2 more
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IEEE Access, 2021 A chameleon chaotic system is a chaotic system in which the chaotic attractor can change between hidden and self-excited attractor depending on the values of parameters.
Saleh Mobayen +3 more
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A Review of Chaotic Systems Based on Memristive Hopfield Neural Networks
Mathematics, 2023 Since the Lorenz chaotic system was discovered in 1963, the construction of chaotic systems with complex dynamics has been a research hotspot in the field of chaos. Recently, memristive Hopfield neural networks (MHNNs) offer great potential in the design
Hairong Lin +6 more
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Realization of a novel chaotic system using coupling dual chaotic system [PDF]
Optical and Quantum Electronics, 2021 Abstract This paper establishes coupling between two various chaotic systems for Lorenz and Rössler circuits. The x-dynamics of Lorenz circuit was coupled numerically with the x dynamics of Rössler circuit. As a result of the optical coupling between these two chaotic systems, it has been observed an exceptional variation in the time series and
Salam K. Mousa, Raied K. Jamal
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