Results 51 to 60 of about 518,180 (174)
Dynamical stability and chaos in artificial neural network trajectories along training
Frontiers in Complex SystemsThe process of training an artificial neural network involves iteratively adapting its parameters so as to minimize the error of the network’s prediction, when confronted with a learning task.
Kaloyan Danovski +2 more
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Controlling complex dynamical systems based on the structure of the networks
Biophysics and Physicobiology, 2023 Progress of molecular biology resulted in the accumulation of information on biomolecular interactions, which are complex enough to be termed as networks.
Atsushi Mochizuki
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On the Relation between Topological Entropy and Restoration Entropy
Entropy, 2018 In the context of state estimation under communication constraints, several notions of dynamical entropy play a fundamental role, among them: topological entropy and restoration entropy. In this paper, we present a theorem that demonstrates that for most
Christoph Kawan
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Thermodynamic and dynamical predictions for bifurcations and non-equilibrium phase transitions
Communications Physics, 2023 “Critical transitions”, in which systems switch abruptly from one state to another are ubiquitous in physical and biological systems. Such critical transitions in complex systems are commonly described as dynamical processes within the framework of ...
Han Yan, Feng Zhang, Jin Wang
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Spectral theory for linearizations of dynamical systems
Journal of Differential Equations, 1981 The description of the asymptotic growth rates for the solution trajectories of a system of differential equations is a central problem in the qualitative theory of dynamical systems. These growth rates are described by the eigenvalues of the Jacobian matrix for trajectories near a critical point, by the Floquet exponents for trajectories close to a ...
R. C. Swanson, Carmen Chicone
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Approximation of dynamical systems using S-systems theory : application to biological systems [PDF]
, 2005 In this paper we propose a new symbolic-numeric algorithm to find positive equilibria of a n-dimensional dynamical system. This algorithm implies a symbolic manipulation of ODE in order to give a local approximation of differential equations with power ...
Tournier, Laurent
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Entropy, 2014 Advances in neuroscience have been closely linked to mathematical modeling beginning with the integrate-and-fire model of Lapicque and proceeding through the modeling of the action potential by Hodgkin and Huxley to the current era.
Wassim M. Haddad +2 more
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Equicontinuous factors, proximality and Ellis semigroup for Delone sets [PDF]
, 2014 We discuss the application of various concepts from the theory of topological dynamical systems to Delone sets and tilings. We consider in particular, the maximal equicontinuous factor of a Delone dynamical system, the proximality relation and the ...
Aujogue, Jean-baptiste +3 more
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Journal of Applied and Computational Mechanics, 2015 The study of the dynamic behavior of a rigid body with one fixed point (gyroscope) has a long history. A number of famous mathematicians and mechanical engineers have devoted enormous time and effort to clarify the role of dynamic effects on its movement
Svetoslav Ganchev Nikolov +1 more
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Pattern avoidance in dynamical systems [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 Orbits generated by discrete-time dynamical systems have some interesting combinatorial properties. In this paper we address the existence of forbidden order patterns when the dynamics is generated by piecewise monotone maps on one-dimensional closed ...
José María Amigó +2 more
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