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Attractors of 2D Navier–Stokes system of equations in a locally periodic porous medium
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 This article deals with two-dimensional Navier-Stokes system of equations with rapidly oscillating terms in the equations and boundary conditions. Studying the problem in a perforated domain, the authors set homogeneous Dirichlet condition on the outer ...
K.A. Bekmaganbetov +2 more
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A new multistable jerk chaotic system, its bifurcation analysis, backstepping control-based synchronization design and circuit simulation [PDF]
Archives of Control Sciences, 2022 In this work, we present results for a new dissipative jerk chaotic system with three quadratic terms in its dynamics.We describe the bifurcation analysis for the new jerk system and also show that the proposed system exhibits multi-stability.
Sundarapandian Vaidyanathan +2 more
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IEEE Access, 2022 In this work, we describe the model of a new 5-D hyperchaotic system with three positive Lyapunov exponents. Since the maximum positive Lyapunov exponent of the proposed hyperchaotic system is larger than twelve, the new hyperchaotic system is highly ...
Khaled Benkouider +9 more
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BICEP/Keck and cosmological attractors [PDF]
Journal of Cosmology and Astroparticle Physics, 2021 We discuss implications of the latest BICEP/Keck data release for inflationary models, with special emphasis on the cosmological attractors which can describe all presently available inflation-related observational data.
R. Kallosh, Andrei Linde
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Iteration of Operators with Contractive Mutual Relations of Kannan Type
Mathematics, 2022 Inspired by the ideas of R. Kannan, we define the new concepts of mutual Kannan contractivity and mutual contractivity between two self-maps on a metric space that generalize the concepts of the Kannan map and contraction.
Ram N. Mohapatra +3 more
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On trajectories of a system modeling evolution of genetic networks
Mathematical Biosciences and Engineering, 2023 A system of ordinary differential equations is considered, which arises in the modeling of genetic networks and artificial neural networks. Any point in phase space corresponds to a state of a network.
Inna Samuilik , Felix Sadyrbaev
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Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data. [PDF]
Chaos, 2017 We use recent advances in the machine learning area known as "reservoir computing" to formulate a method for model-free estimation from data of the Lyapunov exponents of a chaotic process. The technique uses a limited time series of measurements as input
Jaideep Pathak +4 more
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DYNAMIC STATISTICAL CLASSIFICATION
Revista de Matemática: Teoría y Aplicaciones, 2017 We consider the statistical supervised classification problem from adynamical systems approach. We assume that two classes exist and that, for each one, a multivariate normal distribution determines the probability to be in a certain region in then ...
JAVIER PULIDO CEJUDO +1 more
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Interneuron Types as Attractors and Controllers.
Annual Review of Neuroscience, 2020 Cortical interneurons display striking differences in shape, physiology, and other attributes, challenging us to appropriately classify them. We previously suggested that interneuron types should be defined by their role in cortical processing.
G. Fishell, Adam Kepecs
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Information and the Origin of Qualia
Frontiers in Systems Neuroscience, 2017 This article argues that qualia are a likely outcome of the processing of information in local cortical networks. It uses an information-based approach and makes a distinction between information structures (the physical embodiment of information in the ...
Roger Orpwood
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