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Chaos for Discrete Dynamical System [PDF]
Journal of Applied Mathematics, 2013 We prove that a dynamical system is chaotic in the sense of Martelli and Wiggins, when it is a transitive distributively chaotic in a sequence. Then, we give a sufficient condition for the dynamical system to be chaotic in the strong sense of Li-Yorke ...
Lidong Wang, Heng Liu, Yuelin Gao
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Discrete Memristor and Discrete Memristive Systems
Entropy, 2022 In this paper, we investigate the mathematical models of discrete memristors based on Caputo fractional difference and G–L fractional difference. Specifically, the integer-order discrete memristor is a special model of those two cases. The “∞”-type hysteresis loop curves are observed when input is the bipolar periodic signal.
Shaobo He +4 more
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Hidden Attractors in Discrete Dynamical Systems
Entropy, 2021 Research using chaos theory allows for a better understanding of many phenomena modeled by means of dynamical systems. The appearance of chaos in a given process can lead to very negative effects, e.g., in the construction of bridges or in systems based ...
Marek Berezowski, Marcin Lawnik
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Mathematics, 2021 In this paper, the mixed performance and reachable set of uncertain discrete systems with slow variation interval time-varying delay are considered. The original uncertain discrete systems with interval time-varying delay are first transformed into a ...
Chang-Hua Lien +4 more
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A Unified Active Damping for Grid and Converter Current Feedback in Active Front End Converters
IEEE Access, 2022 The Active Front End (AFE) is interconnected to the grid with an LCL filter to reduce the switching harmonics. Possible resonances induced by the LCL filter can be damped using Active Damping (AD). In AFE applications, the current sensor can be placed on
Edi Matijevic +3 more
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Coexisting Attractors and Multistate Noise-Induced Intermittency in a Cycle Ring of Rulkov Neurons
Mathematics, 2023 We study dynamics of a unidirectional ring of three Rulkov neurons coupled by chemical synapses. We consider both deterministic and stochastic models.
Irina A. Bashkirtseva +2 more
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Mathematical Analysis of a Discrete System Modeling COVID-19
Computer Sciences & Mathematics Forum, 2023 COVID-19 is one of the worst pandemics ever; it is spreading rapidly and creating a health crisis around the world. This disease continues to seriously threaten human life and has caused more than 759 million infections and over 6.8 million deaths ...
Meriem El-Batoul Keddar, Omar Belhamiti
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Complexity, 2021 As one of the most important routing problems in the complex network within a very-large-scale integration (VLSI) circuit, bus routing has become much more challenging when witnessing the advanced technology node enters the deep nanometer era because all
Ziran Zhu +3 more
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Discrete Moving Frames and Discrete Integrable Systems [PDF]
Foundations of Computational Mathematics, 2013 Group based moving frames have a wide range of applications, from the classical equivalence problems in differential geometry to more modern applications such as computer vision. Here we describe what we call a discrete group based moving frame, which is essentially a sequence of moving frames with overlapping domains.
Elizabeth L. Mansfield +2 more
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DISCRETE PORT HAMILTONIAN SYSTEMS [PDF]
IFAC Proceedings Volumes, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Talasila, V. +2 more
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