Results 21 to 30 of about 900,077 (368)
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
semanticscholar +1 more source
Discrete Dynamics in Nature and Society, 1998 In this paper the definition of attractor of a dissipative dynamical system is introduced. The classification of the existing types of attractors and the analysis of their characteristics are presented. The discussed problems are illustrated by the results of numerical simulations using a number of real examples that provides the possibility to ...
Vadim S. Anishchenko +1 more
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Transactions of the American Mathematical Society, 1989 Using the graph transform method, we give a geometric treatment of Pesin’s invariant manifold theory. Beyond deriving the existence, uniqueness, and smoothness results by Fathi, Herman, and Yoccoz our method allows us to do four things: optimally conserve smoothness, deal with endomorphisms, prove absolute continuity of the Pesin laminations, and ...
Pugh, Charles, Shub, Michael
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Nonsupersymmetric attractors [PDF]
Physical Review D, 2005 We consider theories with gravity, gauge fields and scalars in four-dimensional asymptotically flat space-time. By studying the equations of motion directly we show that the attractor mechanism can work for non-supersymmetric extremal black holes. Two conditions are sufficient for this, they are conveniently stated in terms of an effective potential ...
Goldstein, Kevin +3 more
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Supersymmetry and attractors [PDF]
Physical Review D, 1996 20 pages, 2 figures, LaTeX. few misprints removed, version to appear in Phys.
Ferrara, Sergio, Kallosh, Renata
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Crises in a dissipative Bouncing ball model [PDF]
, 2015 The dynamics of a bouncing ball model under the influence of dissipation is investigated by using a two dimensional nonlinear mapping. When high dissipation is considered, the dynamics evolves to different attractors.
Caldas, Iberê L. +3 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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Stable and unstable attractors in Boolean networks [PDF]
, 2005 Boolean networks at the critical point have been a matter of debate for many years as, e.g., scaling of number of attractor with system size. Recently it was found that this number scales superpolynomially with system size, contrary to a common earlier ...
I. Harvey +5 more
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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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